Research Database

Michael Christian's paper presents a human capital account for the United States for the period 1994 to 2006. The main findings are twofold. First, the total human capital stock is about three-quarters of a quadrillion dollars in 2006. This estimate is roughly 55 times gross domestic product (GDP) and 16 times the net stock of fixed assets plus consumer durables. His second finding is that the measures of gross investment in human capital are sensitive to alternative assumptions about enrollment patterns. In my comments, I emphasize the need for greater interaction between human capital accountants and applied economists. To date, there remains a disconnect between those measuring human wealth and those investigating its economic impact.

Since it is the dominant paradigm of the business cycle and growth literatures, the stochastic growth model has been used to test the performance of alternative numerical methods. This paper applies the finite element method to this example. I show that the method is easy to apply and, for examples such as the stochastic growth method, gives accurate solutions within a second or two on a desktop computer. I also show how inequality constraints can be handled by redefining the optimization problem with penalty functions.

After World War II, international capital flowed into slow-growing Latin America rather than fast-growing Asia. This is surprising as, everything else equal, fast growth should imply high capital returns. This paper develops a capital flow accounting framework to quantify the role of different factor market distortions in producing these patterns. Surprisingly, we find that distortions in labor markets — rather than domestic or international capital markets — account for the bulk of these flows. Labor market distortions that indirectly depress investment incentives by lowering equilibrium labor supply explain two-thirds of observed flows, while improvement in these distortions over time accounts for much of Asia’s rapid growth.

Studying the modern economic histories of eleven of the largest countries in Latin America teaches us that a lack of fiscal discipline has been at the root of most of the region's macroeconomic instability. The lack of fiscal discipline, however, takes various forms, not all of them measured in the primary deficit. Especially important have been implicit or explicit guarantees to the banking system; denomination of the debt in US dollars and short maturity of the debt; and transfers to some agents in the private sector, which are large in times of crisis and are not part of the budget approved by the national congresses. Comparing the histories of our eleven countries, we see that rather than leading to an economic contraction, fiscal stabilization generally leads to growth. On the other hand, rising commodity prices are no guarantee of economic growth, nor are falling commodity prices a guarantee of economic contraction.

This chapter reviews the literature that tries to explain the disparity and variation of GDP per worker and GDP per capita across countries and across time. There are many potential explanations for the different patterns of development across countries, including differences in luck, raw materials, geography, preferences, and economic policies. We focus on differences in economic policies and ask to what extent can differences in policies across countries account for the observed variability in income levels and their growth rates. We review estimates for a wide range of policy variables. In many cases, the magnitude of the estimates is under debate. Estimates found by running cross-sectional growth regressions are sensitive to which variables are included as explanatory variables. Estimates found using quantitative theory depend in critical ways on values of parameters and measures of factor inputs for which there is little consensus. In this chapter, we review the ongoing debates of the literature and the progress that has been made thus far.

A distinction is drawn between outside money—money that is either of a fiat nature or backed by some asset that is not in zero net supply within the private sector—and inside money, which is an asset backed by any form of private credit that circulates as a medium of exchange.

I argue that low-frequency movements in U.S. base velocity are well explained by standard models of money demand. The model of Gordon, Leeper, and Zha is not standard because they assume a very high interest elasticity. The positive conclusion that they reach about the model’s ability to mimic movements in velocity necessarily implies that predicted movements in interest rates are too smooth.

The purpose of this paper is to begin a reevaluation of the Free Banking Era by developing and examining individual bank information on the population of banks which existed under the free banking laws in four states. This information allows us to determine the number of free banks which failed and to estimate the resulting losses to their note holders. While the new evidence suggests there were problems with free banking, it presents a serious challenge to the prevailing view that free banking led to financial chaos.

This paper describes and implements a procedure for estimating the timing interval in any linear econometric model. The procedure is applied to Taylor’s model of staggered contracts using annual averaged price and output data. The fit of the version of Taylor’s model with serially uncorrelated disturbances improves as the timing interval of the model is reduced.

We construct a random matching model of a monetary economy with commodity money in the form of potentially different types of silver coins that are distinguishable by the quantity of metal they contain. The quantity of silver in the economy is assumed to be fixed, but agents can mint and melt coins. Coins yield no utility, but can be traded. Uncoined silver yields direct utility to the holder. We find that optimal coin size increases with the probability of trade and with the stock of silver. We use these predictions of our model to analyze the coinage decisions of the monetary authorities in medieval Venice and England. Our model provides theoretical support for the view that decisions about coin sizes and types during the medieval period reflected a desire to improve the economic welfare of the general population, not just the desire for seigniorage revenue.

This paper describes recent modifications to the mixed-frequency model vector autoregression (MF-VAR) constructed by Schorfheide and Song (2012). The changes to the model are restricted solely to the set of variables included in the model; all other aspects of the model remain unchanged. Forecast evaluations are conducted to gauge the accuracy of the revised model to standard benchmarks and the original model.

A tax distorted real business cycle model is parameterized, calibrated, and solved numerically in an attempt to measure the size of Harberger Triangles relative to Okun Gaps. In particular, the model constructed is used to study, quantitatively, the impact of various distortional government tax and subsidy schemes. It is shown that the government can use tax policy to stabilize cyclical fluctuations, and this is done for the economy being studied. The benefits of implementing such a stabilization policy are calculated and compared with the size of the welfare gains realized from reducing various tax distortions.

This paper investigates the characteristics of stationary single-price equilibrium in a monetary random-matching model where agents can hold an arbitrary amount of divisible money and where production is costly. At such an equilibrium, agents’ money holdings are endogenously determined and uniformly bounded. A refinement of weakly undominated strategies is argued to be necessary. It is shown that a continuum of single-price equilibria indexed by the aggregate real-money balance exists if one such equilibrium exists. Equilibria with different money-holdings upper bounds, hence different distributions, but with identical aggregate real-money balances, can coexist.

We consider a class of dynamic games in which each player's actions are unobservable to the other players and each player's actions can influence a state variable that is unobservable to the other players. We develop an algorithm that solves for the subset of sequential equilibria in which equilibrium strategies depend on private information only through the privately observed state.

We consider a dynamic, stochastic equilibrium business cycle model which is augmented to reflect seasonal shifts in preferences, technology, and government purchases. Our estimated parameterization implies implausibly large seasonal variation in the state of technology: rising at an annual rate of 24% in the fourth quarter and falling at an annual rate of 28% in the first quarter. Furthermore, our findings indicate that variation in the state of technology of this magnitude is required if the model is to explain the main features of the seasonal cycle.

No abstract available.

We develop a model of a representative democracy in which a legislature makes collective decisions about local public goods expenditures and how they are financed. In our model of the political process legislators defer to spending requests of individual representatives, particularly committee chairmen, who tend to promote spending requests that benefit their own districts. Because legislators do not fully internalize the tax consequences of their individual spending proposals, there is a free rider problem, and as a result spending is excessively high. This leads legislators to prefer a higher level of debt to restrain excessive future spending.

We estimate a dynamic general equilibrium model of the U.S. economy that includes an explicit household production sector. We use these estimates to investigate two issues. First, we analyze how well the model accounts for aggregate fluctuations. Second, we use the model to study the effects of fiscal policy. We find household production has a significant impact, and reject a nested specification in which changes in the home production technology do not matter for market variables. The model generates very different predictions for the effects of tax changes than similar models without home production.

We show that valuing performance is equivalent to valuing a particular contingent claim on an index portfolio. In general the form of the contingent claim is not known and must be estimated. We suggest approximating the contingent claim by a series of options. We illustrate the use of our method by evaluating the performance of 130 mutual funds during the period 1968–82. We find that the relative performance rank of a fund is rather insensitive to the choice of the index, even though the actual value of the services of the portfolio manager depends on the choice of the index.

We use a calibrated model of the dynamics of organization capital and industry evolution to measure the size of investment in organization capital in the steady state and the dynamics of organization capital during the transition following a major reform. We find that, in the steady state, aggregate net investment in organization capital is roughly one-fifth of measured output. During the initial phase of transition, the failure rate of plants rises 200-400 percent, measured output and aggregate productivity stagnate, physical investment falls, and net investment in organization capital rises between 300 and 500 percent above its steady-state level.

What quantitative lessons can we learn from models of endogenous technical change through innovative investments by firms for the impact of changes in the economic environment on the dynamics of aggregate productivity in the short, medium, and long run? We present a unifying model that nests a number of canonical models in the literature and characterize their positive implications for the transitional dynamics of aggregate productivity and their welfare implications in terms of two sufficient statistics. We review the current state of measurement of these two sufficient statistics and discuss the range of positive and normative quantitative implications of our model for a wide array of counterfactual experiments, including the link between a decline in the entry rate of new firms and a slowdown in the growth of aggregate productivity given that measurement. We conclude with a summary of the lessons learned from our analysis to help direct future research aimed at building models of endogenous productivity growth useful for quantitative analysis.

Although many studies have investigated the relationship between market structure and the prices of bank services, most have been concerned with metropolitan areas. These studies generally have used bank balance sheet and income statement ratios as bank conduct proxies. Moreover, prior studies have approximated local banking markets with county or SMSA boundaries.

This study develops a methodology for delineating the geographic boundaries of local banking markets through the use of secondary economic and demographic data. This methodology is utilized to delineate rural banking markets in the states of Iowa, Minnesota, and Wisconsin. The relationship between those markets and rural bank conduct is investigated. Conduct is measured with explicit price and nonprice information generated by telephone survey.

The market determination methodology is based on the assumption that people will bank where they live, work, or obtain goods and services. Using a classification system which categorizes communities according to variety and amount of retail business transactions, a gradient concept is developed which initially approximates market boundaries according to local minima in the gradient.

This procedure, which determines where residents are likely to shop, is supplemented with commuting data based on minor civil divisions to determine where residents work. The resulting “areas of convenience” designate the locale where local customers will ordinarily select banking services.

The natural banking markets determined for the entire state of Minnesota are compared with banking markets approximated by county or SMSA boundaries. The counties or SMSAs are allowed to underestimate or overestimate the natural market by as much as 30 percent of total deposits before being classified as unacceptable approximators. According to these criteria, 61 percent of the counties and SMSAs are found to be unacceptable approximators. When the criteria are tightened to permit only 10 percent underestimation or overestimation, 79 percent of the counties and SMSAs are rated unacceptable. This implies that researchers and policy makers should be cautious about approximating local banking markets with political boundaries. Additional methods for testing the procedure and making it operational are suggested.

The methodology is used to delineate local banking markets in Iowa, Minnesota, and Wisconsin. Twenty-five rural markets are randomly selected from each state. A total of 333 banks from these markets forms the basis for the structure-conduct analysis. These banks are surveyed by telephone to determine explicit price and nonprice information.

Three estimation models (linear, hyperbolic, and cubic) are developed to analyze the relationship between rural bank market structure and the survey variables. The basic linear model generally provides the best fit.

Increases in concentration are significantly associated with increases in the rates rural banks charge on each type of loan included in the study. Moreover, increases in market share are significantly associated with increases in nonprice effort. Consequently, policy makers are confronted with selecting between: (1) higher prices and increased provision of ancillary banking services, or (2) lower prices and less service.

Studying the experience of countries that have experienced great depressions during the twentieth century teaches us that massive public interventions in the economy to maintain employment and investment during a financial crisis can, if they distort incentives enough, lead to a great depression.

The recurrent banking panics of the 19th century and the Great Depression of the 1930s are widely viewed as failures of our economic system. A simple version of Samuelson’s overlapping generations model is used to generate such failures of Walrasian equilibrium. The spontaneous “panics” generated involve a collapse of bank credit, causing in turn a drop in investment demand. The model suggests that both the recent technological advances in the intermediation industry and the current move towards deregulation of that industry are ominous developments.

In January 1995, U.S. President Bill Clinton organized a bailout for Mexico that imposed penalty interest rates and induced the Mexican government to reduce its debt, ending the debt crisis. Can the Troika (European Commission, European Central Bank, and International Monetary Fund) organize similar bailouts for the troubled countries in the Eurozone? Our analysis suggests that debt levels are so high that bailouts with penalty interest rates could induce the Eurozone governments to default rather than reduce their debt. A resumption of economic growth is one of the few ways that the Eurozone crises can end.

We show that some classes of sterilized interventions have no effect on equilibrium prices and quantities. The proof does not require complete markets, Ricardian equivalence, monetary neutrality, or the law of one price. Moreover, regressions of exchange rates or interest differentials on variables measuring debt’s currency composition contain no information about the effectiveness of such interventions. Other interventions require changes in monetary and fiscal policy; their effects depend, generally, on the influence of these changes on the economy and not on the intervention alone. In short, sterilized intervention is not, as the portfolio balance approach indicates, an extra policy instrument.

Macroeconomists have largely converged on method, model design, reduced-form shocks, and principles of policy advice. Our main disagreements today are about implementing the methodology. Some think New Keynesian models are ready to be used for quarter-to-quarter quantitative policy advice; we do not. Focusing on the state-of-the-art version of these models, we argue that some of its shocks and other features are not structural or consistent with microeconomic evidence. Since an accurate structural model is essential to reliably evaluate the effects of policies, we conclude that New Keynesian models are not yet useful for policy analysis.

In this chapter, we review the monetary and fiscal history of Argentina for the period 1960–2017, a time during which the country suffered several balance of payments crises, three periods of hyperinflation, two defaults on government debt, and three banking crises. All told, between 1969 and 1991, after several monetary reforms, thirteen zeros had been removed from its currency. We argue that all these events are the symptom of a recurrent problem: Argentina’s unsuccessful attempts to tame the fiscal deficit. An implication of our analysis is that the future economic evolution of Argentina depends greatly on its ability to develop institutions that guarantee that the government does not spend more than its genuine tax revenues over reasonable periods of time.

I propose an equilibrium menu cost model with a continuum of sectors, each consisting of strategically engaged firms. Compared to a model with monopolistically competitive sectors that is calibrated to the same data on good-level price flexibility, the dynamic duopoly model features a smaller inflation response to monetary shocks and output responses that are more than twice as large. The model also implies (i) four times larger welfare losses from nominal rigidities, (ii) smaller menu costs and idiosyncratic shocks are needed to match the data, (iii) a U-shaped relationship between market concentration and price flexibility, for which I find empirical support.

We develop a model of commodity money and use it to analyze the following two questions motivated by issues in monetary history: What are the conditions under which Gresham’s Law holds? And, what are the mechanics of a debasement (lowering the metallic content of coins)? The model contains light and heavy coins, imperfect information, and prices determined via bilateral bargaining. There are equilibria with neither, both, or only one type of coin in circulation. When both circulate, coins may trade by weight or by tale. We discuss the extent to which Gresham’s Law holds in the various cases. Following a debasement, the quantity of reminting depends on the incentives offered by the sovereign. Equilibria exist with positive seigniorage and a mixture of old and new coins in circulation.

Empirical studies quantifying the economic effects of increased foreign direct investment (FDI) have not provided conclusive evidence that they are positive, as theory predicts. This paper shows that the lack of empirical evidence is consistent with theory if countries are in transition to FDI openness. Anticipated welfare gains lead to temporary declines in domestic investment and employment. Also, growth measures miss some intangible FDI, which is expensed from company profits. The reconciliation of theory and evidence is accomplished with a multicountry dynamic general equilibrium model parameterized with data from a sample of 104 countries during 1980–2005. Although no systematic benefits of FDI openness are found, the model demonstrates that the eventual gains in growth and welfare can be huge, especially for small countries.

This paper surveys the fundamental principles of subjective Bayesian inference in econometrics and the implementation of those principles using posterior simulation methods. The emphasis is on the combination of models and the development of predictive distributions. Moving beyond conditioning on a fixed number of completely specified models, the paper introduces subjective Bayesian tools for formal comparison of these models with as yet incompletely specified models. The paper then shows how posterior simulators can facilitate communication between investigators (for example, econometricians) on the one hand and remote clients (for example, decision makers) on the other, enabling clients to vary the prior distributions and functions of interest employed by investigators. A theme of the paper is the practicality of subjective Bayesian methods. To this end, the paper describes publicly available software for Bayesian inference, model development, and communication and provides illustrations using two simple econometric models.

Liabilities ceded by life insurers to shadow reinsurers (i.e., less regulated and unrated off-balance-sheet entities) grew from $11 billion in 2002 to $364 billion in 2012. Life insurers using shadow insurance, which capture half of the market share, ceded 25 cents of every dollar insured to shadow reinsurers in 2012, up from 2 cents in 2002. Our adjustment for shadow insurance reduces risk-based capital by 53 percentage points (or 3 rating notches) and increases default probabilities by a factor of 3.5. We develop a structural model of the life insurance industry and estimate the impact of current policy proposals to limit or eliminate shadow insurance. In the counterfactual without shadow insurance, the average company using shadow insurance would raise prices by 10 to 21 percent, and annual life insurance underwritten would fall by 7 to 16 percent for the industry.

We build a variation of the neoclassical growth model in which financial shocks to households or wealth shocks (in the sense of wealth destruction) generate recessions. Two standard ingredients that are necessary are (1) the existence of adjustment costs that make the expansion of the tradable goods sector difficult and (2) the existence of some frictions in the labor market that prevent enormous reductions in real wages (Nash bargaining in Mortensen-Pissarides labor markets is enough). We pose a new ingredient that greatly magnifies the recession: a reduction in consumption expenditures reduces measured productivity, while technology is unchanged due to reduced utilization of production capacity. Our model provides a novel, quantitative theory of the current recessions in southern Europe.

We develop a parsimonious model of innovating firms rich enough to confront firm-level evidence. It captures the dynamic behavior of individual heterogenous firms, describes the evolution of an industry with simultaneous entry and exit, and delivers a general equilibrium model of technological change. While unifying the theoretical analysis of firms, industries, and the aggregate economy, the model yields insights into empirical work on innovating firms. It accounts for the persistence over time of firms’ R&D investment, the concentration of R&D among incumbent firms, and the link between R&D and patenting. Furthermore, it explains why R&D as a fraction of revenues is strongly related to firm productivity yet largely unrelated to firm size or growth.

I present a behavioral epidemiological model of the evolution of the COVID epidemic in the United States and the United Kingdom over the past 12 months. The model includes the introduction of a new, more contagious variant in the UK in early fall and the US in mid December. The model is behavioral in that activity, and thus transmission, responds endogenously to the daily death rate. I show that with only seasonal variation in the transmission rate and pandemic fatigue modeled as a one-time reduction in the semi-elasticity of the transmission rate to the daily death rate late in the year, the model can reproduce the evolution of daily and cumulative COVID deaths in the both countries from Feb 15, 2020 to the present remarkably well. I find that most of the end-of-year surge in deaths in both the US and the UK was generated by pandemic fatigue and not the new variant of the virus. I then generate forecasts for the evolution of the epidemic over the next two years with continuing seasonality, pandemic fatigue, and spread of the new variant.

This paper evaluates the performances of three of the most prominent multisectoral static applied general equilibrium models used to predict the impact of the North American Free Trade Agreement. These models drastically underestimated the impact of NAFTA on North American trade. Furthermore, the models failed to capture much of the relative impacts on different sectors. Ex-post performance evaluations of applied GE models are essential if policymakers are to have confidence in the results produced by these models. Such valuations also help make applied GE analysis a scientific discipline in which there are well-defined puzzles with clear successes and failures for competing theories. Analyzing sectoral trade data indicates the need for a new theoretical mechanism that generates large increases in trade in product categories with little or no previous trade. To capture changes in macroeconomic aggregates, the models need to be able to capture changes in productivity.

We examine the quantitative impact of policy-induced changes in innovative investment by firms on growth in aggregate productivity and output in a model that nests several of the canonical models in the literature. We isolate two statistics, the impact elasticity of aggregate productivity growth with respect to an increase in aggregate innovative investment and the degree of intertemporal knowledge spillovers in research, that play a key role in shaping the model’s predicted dynamic response of aggregate productivity, output, and welfare to a policy-induced change in the innovation intensity of the economy. Given estimates of these statistics, we find that there is only modest scope for increasing aggregate productivity and output over a 20-year horizon with uniform subsidies to firms’ investments in innovation of a reasonable magnitude, but the welfare gains from such a subsidy may be substantial.

We find that the welfare gains to being at the optimum quantity of debt rather than the current U.S. level are small, and, therefore, concerns regarding the high level of debt in the U.S. economy may be misplaced. This finding is based on a model of a large number of infinitely-lived households whose saving behavior is influenced by precautionary saving motives and borrowing constraints. This model incorporates a different role for government debt than is found in standard models, and it captures different cost-benefit trade-offs. On the benefit side, government debt enhances the liquidity of households by providing an additional means of smoothing consumption and by effectively loosening borrowing constraints. On the cost side, the implied taxes have adverse wealth distribution and incentive effects. In addition, government debt crowds out capital via higher interest rates and lowers per capita consumption.

It is well known that movements in lending rates are asymmetric; they rise quickly and sharply, but fall slowly and gradually. Not known is the fact that the asymmetry is stronger the less developed a country’s financial system is. This new fact is here documented and explained in a model with an endogenous flow of information about economic conditions. The stronger asymmetry in less developed countries stems from their greater financial system frictions, such as monitoring and bankruptcy costs, which first magnify jumps of lending rates and then delay their recoveries by restricting the generation of information after the crisis. A quantitative exploration of the model shows the data are consistent with this explanation.

This paper reconsiders the aliasing problem of identifying the parameters of a continuous time stochastic process from discrete time data. It analyzes the extent to which restricting attention to processes with rational spectral density matrices reduces the number of observationally equivalent models. It focuses on rational specifications of spectral density matrices since rational parameterizations are commonly employed in the analysis of the time series data.

The purpose of this paper is to discuss some of the models used in New Monetarist Economics, which is our label for a body of recent work on money, banking, payments systems, asset markets, and related topics. A key principle in New Monetarism is that solid microfoundations are critical for understanding monetary issues. We survey recent papers on monetary theory, showing how they build on common foundations. We then lay out a tractable benchmark version of the model that allows us to address a variety of issues. We use it to analyze some classic economic topics, like the welfare effects of inflation, the relationship between money and capital accumulation, and the Phillips curve. We also extend the benchmark model in new ways, and show how it can be used to generate new insights in the study of payments, banking, and asset markets.

In this article, we analyze the implications of price-setting restrictions for the conduct of cyclical fiscal and monetary policy. We consider standard monetary economies that differ in the price-setting restrictions imposed on the firms. We show that, independently of the degree or type of price stickiness, it is possible to implement the same efficient set of allocations and that each allocation in that set is implemented with policies that are also independent of the price stickiness. In this sense, environments with different price-setting restrictions are equivalent.

In this paper, I estimate the impact on aggregate labor productivity of having government, rather than private industry, produce investment goods. This policy was pursued to varying degrees by Egypt, India, Turkey, among others. The policy has a large impact because there is both a direct effect (on the production function in the investment sector) and a secondary effect (on the economywide capital stock per worker). I estimate that this policy alone accounted for about one-third of Egypt's aggregate labor productivity gap with the United States during the 1960s.

In all markets, firms go through a process of creative destruction: entry, random growth and exit. In many of these markets there are also regulations that restrict entry, possibly distorting this process. We study the public interest rationale for entry taxes in a general equilibrium model with free entry and exit of firms in which firm dynamics are driven by reputation concerns. In our model firms can produce high-quality output by making a costly but efficient initial unobservable investment. If buyers never learn about this investment, an extreme “lemons problem” develops, no firm invests, and the market shuts down. Learning introduces reputation incentives such that a fraction of entrants do invest. We show that, if the market operates with spot prices, entry taxes always enhance the role of reputation to induce investment, improving welfare despite the impact of these taxes on equilibrium prices and total production.

Education services in the United States are determined predominantly by non-market institutions, the rules of which are defined by state constitutions. This paper empirically examines the effect of changes in constitutional provisions on education outcomes in the United States. To show causal effects, we exploit discontinuities in the procedure for adopting constitutional amendments to compare outcomes when an amendment passed with those when an amendment failed. Our results show that adoption of an amendment results in higher per-pupil expenditure, higher teacher salaries, smaller class size, and improvements in reading and math test scores. We examine the underlying mechanism driving these results by studying the actions of the legislature and the courts after an amendment is passed. We find that, on average, the legislature responds with a one-year lag in enacting education policies satisfying the minimum standards imposed by the amendment, and there is no increase in the number of education cases reaching appellate courts. Using school finance reforms, we also show that in situations where the legislature fails to enact education policies, courts intervene to enforce constitutional standards to improve outcomes. This enforcement mechanism is more impactful in states that have higher constitutional minimum standards. Taken together, the causal effects on education outcomes and the patterns in legislative bill enactments and court cases provide a novel test of the hypothesis that a strong constitutional provision improves the bargaining position of citizens vis-à-vis that of elected leaders. If citizens do not receive education services as mandated in the constitution, they can seek remedy in court.

No abstract available.

Iterated contraction by dominance produces a generalized equilibrium. This solution to game theory is motivated, generated, analyzed, and compared to Nash equilibrium. One implication drawn is that a realized event in a social situation need not be uniquely determined by simple individual choices, even though the preference orderings implying those choices are the appropriate primitive.

The Economics of QWERTY suggests that historical accidents can trap economies in inefficient equilibria. This paper suggests that such accidents do not have the force that proponents claim. The paper presents a mechanism that may unravel a locational advantage caused by an historical accident. In the model, there are agglomeration benefits from concentrating industry in a particular location because it enables a large variety of local suppliers to emerge. Firms differ by the extent to which they purchase from local suppliers. Low-tier firms purchase little; high-tier firms purchase more. When the industry migrates, the lowest-tier products move first.