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Dynamic Systems with a Continuum of Randomly Matched Agents

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Author Info
Alos-Ferrer, C.

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Abstract

many models postulate a continuum of agents of finitely many different types who are repeatedly randomly matched in pairs to conform certain activities (e.g. play a game) which may in turn make their types change. The random matching process is usually left unspecified , and some law of large Numbers is informally invoked to justify a deterministic approximation of the resulting stochastic system. Nevertheless, it is well-known that such "law of large numbers" may not hold in the framework. This work shows that there exist random matching processes over a continuum of agents satisfying properties which are sufficient to simplify the analysis of the stochastic system.

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Publisher Info
Paper provided by Washington St. Louis - School of Business and Political Economy in its series Papers with number 9801.

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Length: 60 pages
Date of creation: 1998
Date of revision:
Handle: RePEc:fth:waslbp:9801

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Postal: WASHINGTON UNIVERSITY IN ST-LOUIS, SCHOOL OF BUSINESS AND CENTER IN POLITICAL ECONOMY, ST-LOUIS MISSOURI 63130 U.S.A.
Web page: http://www.olin.wustl.edu/
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Related research
Keywords: STOCHASTIC MODELS ; RANDOM ANALYSIS;

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Akihiko Matsui & Kiminori Matsuyama, 1990. "An Approach to Equilibrium Selection," Discussion Papers 970, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  2. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215.
  3. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February. [Downloadable!] (restricted)
  4. Boylan, Richard T., 1990. "Laws of Large Numbers for Dynamical Systems with Randomly Matched Individuals," Working Papers 748, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  5. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September. [Downloadable!] (restricted)
  6. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September. [Downloadable!] (restricted)
  7. Michael Peters, 1995. "On the Equivalence of Walrasian and Non-Walrasian Equilibria in Contract Markets: The case of Complete Contracts," Working Papers peters-95-01, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  8. Harrington, Joseph E, Jr, 1998. "The Social Selection of Flexible and Rigid Agents," American Economic Review, American Economic Association, vol. 88(1), pages 63-82, March. [Downloadable!] (restricted)
  9. Boylan, Richard T., 1992. "Laws of large numbers for dynamical systems with randomly matched individuals," Journal of Economic Theory, Elsevier, vol. 57(2), pages 473-504, August. [Downloadable!] (restricted)
  10. Itzhak Gilboa & Akihiko Matsui, 1990. "A Model of Random Matching," Discussion Papers 887, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. repec:bep:theadv:v:4:y:2004:i:1:p:1157-1157 is not listed on IDEAS
  2. Molzon, Robert & Puzzello, Daniela, 2008. "Random Matching and Aggregate Uncertainty," MPRA Paper 8603, University Library of Munich, Germany. [Downloadable!]
  3. Charalambos Aliprantis & Gabriele Camera & Daniela Puzzello, 2006. "Matching and anonymity," Economic Theory, Springer, vol. 29(2), pages 415-432, October. [Downloadable!] (restricted)
  4. Darrell Duffie & Yeneng Sun, 2004. "The Exact Law of Large Numbers for Independent Random Matching," Levine's Bibliography 122247000000000328, UCLA Department of Economics. [Downloadable!]
  5. Francesco Squintani, 1999. "Games with Small Forgetfulness," Discussion Papers 1273, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  6. Sergio Currarini & Paolo Pin & Matthew O. Jackson, 2007. "An Economic Model of Friendship: Homophily, Minorities and Segregation," Working Papers 2007_20, University of Venice "Ca' Foscari", Department of Economics. [Downloadable!]
    Other versions:
  7. Karavaev, Andrei, 2008. "A Theory of Continuum Economies with Idiosyncratic Shocks and Random Matchings," MPRA Paper 7445, University Library of Munich, Germany. [Downloadable!]
  8. Carlos Alós-Ferrer, 2000. "Finite Population Dynamics and Mixed Equilibria," Vienna Economics Papers 0008, University of Vienna, Department of Economics. [Downloadable!]
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