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Information, interaction and memory

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  • V. Masson

Abstract

This paper extends previous work on evolutionary games by introducing non-trivial memory into a model where information flows and interactions are captured using networks, as in Alós-Ferrer and Weidenholzer (J Econ Theory 143:251–274, 2008 ). We consider two-player $$K \times K$$ K × K coordination games and analyze best response dynamics as well as imitation dynamics. We show that for any arbitrary information network, including those with asymmetric information exchanges, the introduction of non-trivial memory corroborates the results of previous studies: with best response, agents select the $$\frac{1}{2}$$ 1 2 -dominant strategy while imitators favor efficiency. Furthermore, we expose the sensitivity of the efficiency results to the interaction patterns. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • V. Masson, 2015. "Information, interaction and memory," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 1015-1032, November.
  • Handle: RePEc:spr:jogath:v:44:y:2015:i:4:p:1015-1032
    DOI: 10.1007/s00182-015-0463-0
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    References listed on IDEAS

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    1. Alos-Ferrer, Carlos & Weidenholzer, Simon, 2007. "Partial bandwagon effects and local interactions," Games and Economic Behavior, Elsevier, vol. 61(2), pages 179-197, November.
    2. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    3. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 17-45.
    4. Robson, Arthur J. & Vega-Redondo, Fernando, 1996. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Journal of Economic Theory, Elsevier, vol. 70(1), pages 65-92, July.
    5. Sarin, Rajiv, 2000. "Decision Rules with Bounded Memory," Journal of Economic Theory, Elsevier, vol. 90(1), pages 151-160, January.
    6. Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
    7. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    8. Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
    9. Carlos Alós-Ferrer & Fei Shi, 2012. "Imitation with asymmetric memory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 193-215, January.
    10. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    11. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-956, July.
    12. Durieu, Jacques & Solal, Philippe, 2003. "Adaptive play with spatial sampling," Games and Economic Behavior, Elsevier, vol. 43(2), pages 189-195, May.
    13. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    14. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    15. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
    16. Alos-Ferrer, Carlos, 2004. "Cournot versus Walras in dynamic oligopolies with memory," International Journal of Industrial Organization, Elsevier, vol. 22(2), pages 193-217, February.
    17. Alós-Ferrer, Carlos, 2008. "Learning, bounded memory, and inertia," Economics Letters, Elsevier, vol. 101(2), pages 134-136, November.
    18. H. Peyton Young, 1998. "Conventional Contracts," Review of Economic Studies, Oxford University Press, vol. 65(4), pages 773-792.
    19. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
    20. Alos-Ferrer, Carlos & Weidenholzer, Simon, 2006. "Imitation, local interactions, and efficiency," Economics Letters, Elsevier, vol. 93(2), pages 163-168, November.
    21. Friederike Mengel, 2009. "Conformism and cooperation in a local interaction model," Journal of Evolutionary Economics, Springer, vol. 19(3), pages 397-415, June.
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