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Normal Behavior, Altruism and Aggression in Cooperative Game Dynamics

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  • A.F. Kleimenov
  • A.V. Kryazhimskii
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    Abstract

    The paper introduces a local cooperation pattern for repeated bimatrix games: the players choose a mutually acceptable strategy pair in the next round. A mutually acceptable strategy pair provides each player with a payoff no smaller than that expected, in average, at a historical distribution of players' actions recorded up to the latest round. It may happen that at some points mutually acceptable strategy pairs do not exist. A game round at such "still" points indicates that at least one player revises his/her payoffs and switches from normal behavior to abnormal. We consider payoff switches associated with altruistic and aggressive behaviors, and define measures of all combinations of normal, altruistic and aggressive behaviors on every game trajectory. These behavior measures serve as criteria for the global analysis of game trajectories. Given a class of trajectories, one can identify the measures of desirable and undesirable behaviors on each trajectory and select optimal trajectories, which carry the minimum measure of undesirable behaviors. In the paper, the behavior analysis of particular classes of trajectories in the repeated Prisoner's Dilemma is carried out.

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    File URL: http://www.iiasa.ac.at/Publications/Documents/IR-98-076.pdf
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    File URL: http://www.iiasa.ac.at/Publications/Documents/IR-98-076.ps
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    Bibliographic Info

    Paper provided by International Institute for Applied Systems Analysis in its series Working Papers with number ir98076.

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    Date of creation: Sep 1998
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    Handle: RePEc:wop:iasawp:ir98076

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    1. Kaniovski Yuri M. & Young H. Peyton, 1995. "Learning Dynamics in Games with Stochastic Perturbations," Games and Economic Behavior, Elsevier, vol. 11(2), pages 330-363, November.
    2. Y.M. Kaniovski & A.V. Kryazhimskii & H.P. Young, 1997. "Learning Equilibria in Games Played by Heterogeneous Populations," Working Papers ir97017, International Institute for Applied Systems Analysis.
    3. Fudenberg Drew & Kreps David M., 1993. "Learning Mixed Equilibria," Games and Economic Behavior, Elsevier, vol. 5(3), pages 320-367, July.
    4. A. Gaunersdorfer & J. Hofbauer, 2010. "Fictitious Play, Shapley Polygons and the Replicator Equation," Levine's Working Paper Archive 438, David K. Levine.
    5. Smale, Steve, 1980. "The Prisoner's Dilemma and Dynamical Systems Associated to Non-Cooperative Games," Econometrica, Econometric Society, vol. 48(7), pages 1617-34, November.
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