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Conventions, local interaction, and automata networks

Author

Listed:
  • Ulrich Schwalbe

    (Department of Economics, University of Mannheim)

  • Siegfried K. Berninghaus

    (Department of Economics, University of Karlsruhe)

Abstract

This paper deals with the evolution of conventions in a finite population of boundedly rational players. We apply methods from the theory of automata networks to analyze the effects of different interaction structures. It is shown that the size of the reference group for each player has an important impact on the evolutionary stability of a particular convention, and that the interaction structure crucially determines the distribution of conventions in the population.

Suggested Citation

  • Ulrich Schwalbe & Siegfried K. Berninghaus, 1996. "Conventions, local interaction, and automata networks," Journal of Evolutionary Economics, Springer, vol. 6(3), pages 297-312.
    • Handle: RePEc:spr:joevec:v:6:y:1996:i:3:p:297-312
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    Citations

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    Cited by:

    1. Outkin, Alexander V., 2003. "Cooperation and local interactions in the Prisoners' Dilemma Game," Journal of Economic Behavior & Organization, Elsevier, vol. 52(4), pages 481-503, December.
    2. Vincent Buskens & Chris Snijders, 2016. "Effects of Network Characteristics on Reaching the Payoff-Dominant Equilibrium in Coordination Games: A Simulation study," Dynamic Games and Applications, Springer, vol. 6(4), pages 477-494, December.
    3. Banerjee, Simanti & Kwasnica, Anthony M. & Shortle, James S., 2012. "Agglomeration bonus in small and large local networks: A laboratory examination of spatial coordination," Ecological Economics, Elsevier, vol. 84(C), pages 142-152.
    4. Siegfried Berninghaus & Hans Haller & Alexander Outkin, 2006. "Neural networks and contagion," Revue d'économie industrielle, De Boeck Université, vol. 0(2), pages 11-11.
    5. Siegfried Berninghaus & Werner G³th & Hartmut Kliemt, 2005. "Conventions: Some Conventional and Some Not So Conventional Wisdom," Homo Oeconomicus, Institute of SocioEconomics, vol. 22, pages 147-168.
    6. D. Timothy Bishop & Mark Broom & Richard Southwell, 2020. "Chris Cannings: A Life in Games," Dynamic Games and Applications, Springer, vol. 10(3), pages 591-617, September.
    7. Jacques Durieu & Hans Haller & Philippe Solal, 2011. "Nonspecific Networking," Games, MDPI, vol. 2(1), pages 1-27, February.
    8. Zhigang Cao & Cheng-zhong Qin & Xiaoguang Yang & Boyu Zhang, 2019. "Dynamic matching pennies on networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 887-920, September.
    9. Arnold, Tone & Schwalbe, Ulrich, 2002. "Dynamic coalition formation and the core," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 363-380, November.
    10. Banerjee, Simanti & Kwasnica, Anthony M & Shortle, James S, 2011. "Agglomeration Bonus in Local Networks: A laboratory examination of spatial coordination failure," Stirling Economics Discussion Papers 2011-18, University of Stirling, Division of Economics.
    11. Kirchkamp, Oliver & Nagel, Rosemarie, 2000. "Local and group interaction in prisoners' dilemma experiments," Papers 00-11, Sonderforschungsbreich 504.
    12. Daniel C. Opolot & Théophile T. Azomahou, 2021. "Strategic diffusion in networks through contagion," Journal of Evolutionary Economics, Springer, vol. 31(3), pages 995-1027, July.
    13. Jacques Durieu & Philippe Solal, 2012. "Models of Adaptive Learning in Game Theory," Chapters, in: Richard Arena & Agnès Festré & Nathalie Lazaric (ed.), Handbook of Knowledge and Economics, chapter 11, Edward Elgar Publishing.
    14. Tone Dieckmann & Ulrich Schwalbe, 2000. "Dynamic Coalition Formation and the Core," Econometric Society World Congress 2000 Contributed Papers 1878, Econometric Society.
    15. Susan Lee, 1999. "Assortative Interactions and Endogenous Stratification," Working Papers 99-08-056, Santa Fe Institute.
    16. Berninghaus, Siegfried K. & Ehrhart, Karl-Martin & Keser, Claudia, 2002. "Conventions and Local Interaction Structures: Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 39(2), pages 177-205, May.
    17. Siegfried K. Berninghaus & Karl-Martin Ehrhart & Claudia Keser, 2000. "Conventions and Local Interaction Structures: Experimental Evidence," CIRANO Working Papers 2000s-36, CIRANO.
    18. Keser, Claudia & Ehrhart, Karl-Martin & Berninghaus, Siegfried K., 1998. "Coordination and local interaction: experimental evidence," Economics Letters, Elsevier, vol. 58(3), pages 269-275, March.
    19. Cassar, Alessandra, 2007. "Coordination and cooperation in local, random and small world networks: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 58(2), pages 209-230, February.
    20. Tone Dieckmann; & Ulrich Schwalbe, 1998. "Dynamic Coalition Formation and the Core," Economics Department Working Paper Series n810798, Department of Economics, National University of Ireland - Maynooth.
    21. Napel, Stefan, 2003. "Aspiration adaptation in the ultimatum minigame," Games and Economic Behavior, Elsevier, vol. 43(1), pages 86-106, April.
    22. Berninghaus, Siegfried & Haller, Hans, 2007. "Pairwise interaction on random graphs," Papers 06-16, Sonderforschungsbreich 504.
    23. Anne-Gaëlle Lefeuvre & Maurice Baslé, 1997. "Coordination of agents through Learning and Evolutionary Processes : a Game Theory Approach," Post-Print hal-02082849, HAL.

    More about this item

    Keywords

    Conventions;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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