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Endogenous Selection of Aspiring and Rational rules in Coordination Games

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Marcin Dziubinski ()
Jaideep Roy ()

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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 aspiring 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 players 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 Centre for Economic Development and Institutions(CEDI), Brunel University in its series CEDI Discussion Paper Series with number 07-14.

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Length: 40 pages
Date of creation: Feb 2007
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Handle: RePEc:edb:cedidp:07-14

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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. 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)
  3. 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)
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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)
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