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Evolutionary Dynamics in Game-Theoretic Models

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Author Info
Kristian Lindgren
Abstract

A number of evolutionary models based on the iterated Prisoner's Dilemma with noise are discussed. Different aspects of the evolutionary behaviour are illustrated (i) by varying the trickiness of the game (iterated game, mistakes, misunderstandings, choice of payoff matrix), (ii) by introducing spatial dimensions, and (iii) by modifying the strategy space and the representation of strategies. One of the variations involves the finitely iterated game, that has a unique Nash equilibrium of only defecting strategies, and it is illustrated that when a spatial dimension is added, evolution usually avoids this state. The finite automaton representation of strategies is also revisited, and one model shows an evolution of a very robust error-correcting strategy for the Prisoner's Dilemma game.

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Paper provided by Santa Fe Institute in its series Working Papers with number 96-06-043.

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Date of creation: Jun 1996
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Handle: RePEc:wop:safiwp:96-06-043

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  1. Samuelson, L. & Zhang, J., 1991. "Evolutionary Stability in Asymmetric Games," Papers 9132, Tilburg - Center for Economic Research.
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  2. Hofbauer, Josef & Weibull, Jorgen W., 1996. "Evolutionary Selection against Dominated Strategies," Journal of Economic Theory, Elsevier, vol. 71(2), pages 558-573, November. [Downloadable!] (restricted)
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  3. Stanley, E.A. & Ashlock, D. & Tesfatsion, Leigh S., 2004. "Iterated Prisoner's Dilemma with Choice and Refusal of Partners," Staff General Research Papers 11180, Iowa State University, Department of Economics.
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  1. Hokky Situngkir, 2004. "The Structural Dynamics of Corruption: Artificial Society Approach," Computational Economics 0405002, EconWPA. [Downloadable!]
  2. Dorofeenko, Victor & Shorish, Jamsheed, 2002. "Dynamical Modeling of the Demographic Prisoner's Dilemma," Economics Series 124, Institute for Advanced Studies. [Downloadable!]
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