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Random matching models and money : the global structure and approximation of the set of stationary equilibria

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Author Info
Kamiya, K.
Talman, D. (Tilburg University, Center for Economic Research)

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Abstract

Random matching models with different states are an important class of dynamic games; for example, money search models, job search models, and some games in biology are special cases. In this paper, we investigate the basic structure of the models: the existence of equilibria, the global structure of the set of equilibria, and the approximation and computation of equilibria. Under conditions which are typically satisfied in monetary models, the equilibrium condition can be considered as a nonlinear complementarity problem with some new feature.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 70.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:200370

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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  1. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-81, July. [Downloadable!] (restricted)
  2. Akihiko Matsui & Takashi Shimizu, 2000. "A Theory of Money with Market Places," CIRJE F-Series CIRJE-F-92, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  3. Green, Edward J. & Zhou, Ruilin, 1998. "A Rudimentary Random-Matching Model with Divisible Money and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 252-271, August. [Downloadable!] (restricted)
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  4. Kazuya Kamiya & Takashi Shimizu, 2004. "Real Indeterminacy of Stationary Equilibria in Matching Models with Media of Exchange," CIRJE F-Series CIRJE-F-167, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  5. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August. [Downloadable!] (restricted)
  6. Zhou, Ruilin, 1999. "Individual and Aggregate Real Balances in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 1009-38, November.
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