IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v44y2015i4p1015-1032.html
   My bibliography  Save this article

Information, interaction and memory

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00182-015-0463-0
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00182-015-0463-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 17-45.
    4. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    5. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    6. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
    7. 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.
    8. Sarin, Rajiv, 2000. "Decision Rules with Bounded Memory," Journal of Economic Theory, Elsevier, vol. 90(1), pages 151-160, January.
    9. 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.
    10. 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.
    11. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    12. Matsui, Akihiko, 1991. "Cheap-talk and cooperation in a society," Journal of Economic Theory, Elsevier, vol. 54(2), pages 245-258, August.
    13. 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.
    14. 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.
    15. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-956, July.
    16. Alós-Ferrer, Carlos, 2008. "Learning, bounded memory, and inertia," Economics Letters, Elsevier, vol. 101(2), pages 134-136, November.
    17. Durieu, Jacques & Solal, Philippe, 2003. "Adaptive play with spatial sampling," Games and Economic Behavior, Elsevier, vol. 43(2), pages 189-195, May.
    18. H. Peyton Young, 1998. "Conventional Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ge Jiang & Simon Weidenholzer, 2017. "Local interactions under switching costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 571-588, October.
    2. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    3. Carlos Alós-Ferrer & Nick Netzer, 2015. "Robust stochastic stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(1), pages 31-57, January.
    4. Simon Weidenholzer, 2010. "Coordination Games and Local Interactions: A Survey of the Game Theoretic Literature," Games, MDPI, vol. 1(4), pages 1-35, November.
    5. Ennio Bilancini & Leonardo Boncinelli, 2018. "Social coordination with locally observable types," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 975-1009, June.
    6. Cui, Zhiwei & Wang, Rui, 2016. "Collaboration in networks with randomly chosen agents," Journal of Economic Behavior & Organization, Elsevier, vol. 129(C), pages 129-141.
    7. Zhiwei Cui, 2019. "Matching, Imitation, and Coordination in Networks," Dynamic Games and Applications, Springer, vol. 9(1), pages 47-67, March.
    8. Bilancini, Ennio & Boncinelli, Leonardo, 2022. "The evolution of conventions in the presence of social competition," Games and Economic Behavior, Elsevier, vol. 133(C), pages 50-57.
    9. Ennio Bilancini & Leonardo Boncinelli, 2020. "The evolution of conventions under condition-dependent mistakes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 497-521, March.
    10. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
    11. Hsiao-Chi Chen & Yunshyong Chow & Li-Chau Wu, 2013. "Imitation, local interaction, and coordination," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 1041-1057, November.
    12. Fulin Guo, 2023. "Experience-weighted attraction learning in network coordination games," Papers 2310.18835, arXiv.org.
    13. Pin, Paolo & Weidenholzer, Elke & Weidenholzer, Simon, 2017. "Constrained mobility and the evolution of efficient outcomes," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 165-175.
    14. Staudigl, Mathias & Weidenholzer, Simon, 2014. "Constrained interactions and social coordination," Journal of Economic Theory, Elsevier, vol. 152(C), pages 41-63.
    15. Cui, Zhiwei & Shi, Fei, 2022. "Bandwagon effects and constrained network formation," Games and Economic Behavior, Elsevier, vol. 134(C), pages 37-51.
    16. Weidenholzer, Simon, 2012. "Long-run equilibria, dominated strategies, and local interactions," Games and Economic Behavior, Elsevier, vol. 75(2), pages 1014-1024.
    17. Cui, Zhiwei, 2023. "Linking friction, social coordination and the speed of evolution," Games and Economic Behavior, Elsevier, vol. 140(C), pages 410-430.
    18. Eugenio Vicario, 2021. "Imitation and Local Interactions: Long Run Equilibrium Selection," Games, MDPI, vol. 12(2), pages 1-19, April.
    19. Ennio Bilancini & Leonardo Boncinelli, 2015. "Social coordination with locally observable types," Department of Economics 0051, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    20. Weibull, Jörgen W., 1997. "What have we learned from Evolutionary Game Theory so far?," Working Paper Series 487, Research Institute of Industrial Economics, revised 26 Oct 1998.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jogath:v:44:y:2015:i:4:p:1015-1032. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.