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Matching models with a conservation law: The existence and global structure of the set of stationary equilibria

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  • Kamiya, Kazuya
  • Talman, Dolf

Abstract

We study random matching models where there is a set of infinitely lived agents, and in each period agents are pairwise matched to each other and play a stage game. We investigate the basic structure of equilibria in such models: the existence of equilibria and the global structure of the set of equilibria. Specifically, we focus on models with a conservation law, which typically holds in economies having some assets, such as money. In such models, under certain regularity conditions the set of equilibria is one-dimensional and each connected component of it is a piecewise smooth one-dimensional manifold being homeomorphic to either the unit circle or the unit interval. Moreover, in an endpoint of an interval all agents have the same amount of assets.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 45 (2009)
Issue (Month): 5-6 (May)
Pages: 397-413

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Handle: RePEc:eee:mateco:v:45:y:2009:i:5-6:p:397-413

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Web page: http://www.elsevier.com/locate/jmateco

Related research

Keywords: Matching model Money Stationary Markov perfect equilibria Non-linear complementarity problem;

References

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  1. Rosenthal, R W, 1979. "Sequences of Games with Varying Opponents," Econometrica, Econometric Society, vol. 47(6), pages 1353-66, November.
  2. Kazuya Kamiya & Takashi Shimizu, 2005. "Real Indeterminacy of Stationary Equilibria in Matching Models with Divisible Money," CIRJE F-Series CIRJE-F-390, CIRJE, Faculty of Economics, University of Tokyo.
  3. Ruilin Zhou, 1996. "Individual and Aggregate Real Balances in a Random Matching Model," GE, Growth, Math methods 9612001, EconWPA, revised 23 Dec 1996.
  4. van der LAAN, Gerard, . "Simplicial approximation of unemployment equilibria," CORE Discussion Papers RP -467, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Diamond, Peter A, 1982. "Wage Determination and Efficiency in Search Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 217-27, April.
  6. Kazuya Kamiya & Takashi Shimizu, 2007. "Existence of Equilibria in Matching Models of Money: A New Technique," Economic Theory, Springer, vol. 32(3), pages 447-460, September.
  7. Edward J. Green & Ruilin Zhou, 1996. "A Rudimentary Random-Matching Model with Divisible Money and Prices," GE, Growth, Math methods 9606001, EconWPA, revised 25 Jul 1996.
  8. 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.
  9. Zhu, Tao, 2003. "Existence of a monetary steady state in a matching model: indivisible money," Journal of Economic Theory, Elsevier, vol. 112(2), pages 307-324, October.
  10. Kazuya Kamiya & Takashi Shimizu, 2005. "On the Role of Tax-Subsidy Scheme in Money Search Models," CIRJE F-Series CIRJE-F-323, CIRJE, Faculty of Economics, University of Tokyo.
  11. Kazuya Kamiya & Takashi Sato, 2004. "Equilibrium Price Dispersion in a Matching Model with Divisible Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 413-430, 05.
  12. Diamond, Peter A, 1984. "Money in Search Equilibrium," Econometrica, Econometric Society, vol. 52(1), pages 1-20, January.
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Cited by:
  1. Béal, Sylvain & Rémila, Eric & Solal, Philippe, 2012. "Axioms of invariance for TU-games," MPRA Paper 41530, University Library of Munich, Germany.

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