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.
- Federal Reserve Bank of Minneapolis. Research Department.
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