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Complexity and Competition, Part I: Sequential Matching

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  • Gale, D.
  • Sabourian, H.

Abstract

This paper uses the complexity of non-competitive behaviour to provide a new justification for competitive equilibrium in the context of extensive-form market games with a finite number of agents. This paper demonstrates that if rational agents have (at least at the margin) an aversion for complex behaviours then their maximizing behaviour will result in simple behavioural rules and thereby in a perfectly competitive outcome. In particular, we consider sequential market games with heterogeneous sets of buyers and sellers and show that if the complexity costs of implementing strategies enter players’ preferences, together with the standard payoff in the game, then every equilibrium strategy profile induces a competitive outcome. This is done for sequential deterministic matching/bargaining models in which at any date either the identities of the matched players are determined exogenously or one player is exogenously selected to choose his partner and make a price proposal.

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File URL: http://www.econ.cam.ac.uk/research/repec/cam/pdf/cwpe0345.pdf
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Bibliographic Info

Paper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 0345.

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Length: 57
Date of creation: Oct 2003
Date of revision:
Handle: RePEc:cam:camdae:0345

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Web page: http://www.econ.cam.ac.uk/index.htm

Related research

Keywords: bargaining; matching; complexity; automaton; bounded rationality; Markov equilibrium; competitive equilibrium;

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References

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  1. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-81, November.
  2. Binmore, Ken G & Herrero, M J, 1988. "Matching and Bargaining in Dynamic Markets," Review of Economic Studies, Wiley Blackwell, vol. 55(1), pages 17-31, January.
  3. Ariel Rubinstein, 1997. "Finite automata play the repeated prisioners dilemma," Levine's Working Paper Archive 1639, David K. Levine.
  4. Kalyan Chatterjee & Hamid Sabourian, 1998. "Multiperson Bargaining and Strategic Complexity," CRIEFF Discussion Papers 9808, Centre for Research into Industry, Enterprise, Finance and the Firm.
  5. Gale, Douglas & Sabourian, Hamid, 2006. "Markov equilibria in dynamic matching and bargaining games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 336-352, February.
  6. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-50, September.
  7. Ehud Kalai & Alejandro Neme, 1989. "The Strength of a Little Perfection," Discussion Papers 858, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  9. Hamid Sabourian, 2000. "Bargaining and Markets: Complexity and the Walrasian Outcome," Cowles Foundation Discussion Papers 1249, Cowles Foundation for Research in Economics, Yale University.
  10. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
  11. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
  12. Rubinstein, Ariel & Wolinsky, Asher, 1990. "Decentralized Trading, Strategic Behaviour and the Walrasian Outcome," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 63-78, January.
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Cited by:
  1. Hamid Sabourian & Jihong Lee, 2004. "Complexity and Efficiency in Repeated Games with Negotiation," Econometric Society 2004 Far Eastern Meetings 401, Econometric Society.
  2. Lee, J. & Sabourian, H., 2004. "Complexity and Efficiency in Repeated Games and Negotiation," Cambridge Working Papers in Economics 0419, Faculty of Economics, University of Cambridge.
  3. Hamid Sabourian & Jihong Lee, 2004. "Complexity and Efficiency in the Negotiation Game," Econometric Society 2004 North American Winter Meetings 82, Econometric Society.

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