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Endogenous selection of aspiring and rational rules in coordination games

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Author Info
Dziubinski, Marcin
Roy, Jaideep

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Abstract

The paper studies an evolutionary model where players from a given population are randomly matched in pairs each period to play a co- ordination game. At each instant, a player can choose to adopt one of the two possible behavior rules, called the rational rule and the as- piring rule, and then take actions prescribed by the chosen rule. The choice between the two rules depends upon their relative performance in the immediate past. We show that there are two stable long run outcomes where either the rational rule becomes extinct and all play- ers in the population achieve full eciency, or that both the behavior rules co-exist and there is only a partial use of ecient strategies in the population. These ndings support the use of the aspiration driven behavior in several existing studies and also help us take a comparative evolutionary look at the two rules in retrospect.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 5941.

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Date of creation: 25 Nov 2007
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Handle: RePEc:pra:mprapa:5941

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Related research
Keywords: Co-evolution; Aspirations; Best-response; Random matching; Coordination games;

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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
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June. [Downloadable!] (restricted)
  2. Karandikar, Rajeeva & Mookherjee, Dilip & Ray, Debraj & Vega-Redondo, Fernando, 1998. "Evolving Aspirations and Cooperation," Journal of Economic Theory, Elsevier, vol. 80(2), pages 292-331, June. [Downloadable!] (restricted)
  3. Fernando Vega-Redondo & Frédéric Palomino, 1999. "Convergence of aspirations and (partial) cooperation in the prisoner's dilemma," International Journal of Game Theory, Springer, vol. 28(4), pages 465-488. [Downloadable!] (restricted)
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  4. Corchon, Luis C. & Mas-Colell, Andreu, 1996. "On the stability of best reply and gradient systems with applications to imperfectly competitive models," Economics Letters, Elsevier, vol. 51(1), pages 59-65, April. [Downloadable!] (restricted)
  5. Dixon, Huw David, 2000. "Keeping up with the Joneses: competition and the evolution of collusion," Journal of Economic Behavior & Organization, Elsevier, vol. 43(2), pages 223-238, October. [Downloadable!] (restricted)
  6. Bendor, J. & Mookherjee, D. & Ray, D., 1994. "Aspirations, Adaptive Learning and Cooperation in Reapeted Games," Papers 27, Boston University - Department of Economics.
  7. Cross, John G, 1973. "A Stochastic Learning Model of Economic Behavior," The Quarterly Journal of Economics, MIT Press, vol. 87(2), pages 239-66, May. [Downloadable!] (restricted)
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