Creator: Aiyagari, S. Rao. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 328 Abstract:
One purpose of this article is to exposit the relationship between life cycle models (with constructive immortality) and infinitely lived agents models. We use this to point out problems in interpreting data, especially with regard to the use of interest rates in the class of representative agent models when growth in population and per capita variables is taken into account. We also point out some common misconceptions regarding the "volume of trade" in representative agent models and show how to reconcile the savings profile of the representative agent with the life cycle savings profile in a life cycle model.
关键词: Infinitely lived agents, Volume of trade, Representative agent models, Calibration, and Bequests 学科: D91 - Intertemporal choice and growth - Intertemporal consumer choice ; Life cycle models and saving
Creator: Aiyagari, S. Rao. Series: Working paper (Federal Reserve Bank of Minneapolis. Research Dept.) Number: 319 Abstract:
We consider the existence of deterministically cycling steady state equilibria in a class of stationary overlapping generations models with sufficiently long (but, finite) lived agents. Preferences are of the discounted sum of utilities type with a fixed discount rate. Utility functions with large coefficients of relative risk aversion which generate strong income effects (relative to substitution effects) and backward bending offer curves are permitted. Lifetime endowment patterns are quite arbitrary. We show that if agents have a positive discount rate, then as agents1 lifespans get large, short period non-monetary cycles will disappear. Further, constant monetary steady states do not exist and therefore, neither do stationary monetary cycles of any period. We then consider the case where agents have a negative discount rate and show that there are robust examples in which constant monetary steady states as well as stationary monetary cycles (with undiminished amplitude) can occur no matter how long agents live.
关键词: Longevity, Business cycles, Intertemporal choice, and Monetary theory 学科: D91 - Intertemporal choice and growth - Intertemporal consumer choice ; Life cycle models and saving and N10 - Macroeconomics and monetary economics ; Growth and fluctuations - General, international, or comparative
Creator: Goenka, Aditya. and Spear, Stephen E. Series: Finance, fluctuations, and development Abstract:
This paper develops a dynamic model of general imperfect competition by embedding the Shapley-Shubik model of market games into an overlapping generations framework. Existence of an open market equilibrium where there is trading at each post is demonstrated when there are an arbitrary (finite) number of commodities in each period and an arbitrary (finite) number of consumers in each generation. The open market equilibria are fully characterized when there is a single consumption good in each period and it is shown that stationary open market equilibria exist if endowments are not Pareto optimal. Two examples are also given. The first calculates the stationary equilibrium in an economy, and the second shows that the on replicating the economy the stationary equilibria converge to the unique non-autarky stationary equilibrium in the corresponding Walrasian overlapping generations economy. Preliminary on-going work indicates the possibility of cycles and other fluctuations even in the log-linear economy.
关键词: Overlapping generations model, General equilibirum theory, and Game theory 学科: D91 - Intertemporal choice and growth - Intertemporal consumer choice ; Life cycle models and saving, C72 - Game theory and bargaining theory - Noncooperative games, and D50 - General equilibrium and disequilibrium - General
Creator: Kahn, James A. (James Allan) and Lim, Jong-Soo. Series: Conference on economics and politics Abstract:
This paper analyzes the political economy of growth as an issue of intergenerational distribution. The first part of the paper develops a model of endogenous growth via human capital accumulation in an overlapping generations setting. Equilibrium growth is inefficient due to the presence of an intergenerational externality. We characterize the set of Pareto efficient paths for physical and human capital accumulation, and find that there is a continuum of efficient growth rate-interest rate combinations. The preferred combination for an infinitely-lived planner will depend on the social discount rate. Competitive equilibrium with subsidized or mandated human capital accumulation may give rise to a Pareto efficient steady state, though for some parameters efficiency requires some intergenerational redistribution. We then argue that a social planner or government with an infinite horizon is incongruous in an OG model when the agents all have finite horizons. Hence the second part of the paper addresses the question of how a government whose decisionmakers reflect the finite horizons of their constituents would choose policies that affect physical and human capital accumulation. Specifically we assume that each government maximizes a weighted sum of utilities of those currently alive. Each period the government selects a policy that takes into account the effect (through state variables) on subsequent policy decisions (and hence on the welfare of the current young generation). Numerical methods involving polynomial approximations are used to compute equilibria under specific parametric assumptions. Equilibrium growth rates turn out to be substantially below efficient rates.
关键词: Growth, Political economy, Education, Political instability, and Markov equilibrium 学科: D91 - Intertemporal choice and growth - Intertemporal consumer choice ; Life cycle models and saving, O41 - One, Two, and Multisector Growth Models, and D72 - Analysis of collective decision-making - Models of political processes : Rent-seeking, elections, legislatures, and voting behavior