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Dynamic focal points in N-person coordination games

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Abstract

To understand how groups coordinate, we study infinitely repeated N-player coordination games in the context of strategic uncertainty. In a situation where players share no common language or culture, ambiguity is always present. However, finding an adequate principle for a common language is not easy: a tradeoff between simplicity and efficiency has to be made. All these points are illustrated on repeated N-player coordination games on m loci. In particular, we demonstrate how a common principle can accelerate coordination. We present very simple rules that are optimal in the space of all languages for m (number of coordination loci) from 2 to 5 and for all N, the number of players. We also show that when more memory is used in the language (strategies), players may not coordinate, whereas this is never the case when players remember only the previous period.

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References

  1. Abramowitz, M. and I. Stegun (1972), Handbook of Mathematical Functions, Dover.

  2. Aoki, M. (1994), ‘Aspects of Conventions within the Firm,’ in Analyse Economique des Conventions, A. Orléan ed., P.U.F., Paris.

    Google Scholar 

  3. Broseta, R. (1993), ‘Strategic Uncertainty and Learning in Coordination Games’, University of California, San Diego, mimeo # 93–34.

    Google Scholar 

  4. Crawford, V. and H. Haller (1990), ‘Learning How to Cooperate: Optimal Play in Repeated Coordination Games,’ Econometrica, 58, 581–596.

    Google Scholar 

  5. Van Damme, E. (1989), ‘Stable Equilibria and Forward Induction,’ Journal of Economic Theory, 48, 476–496.

    Google Scholar 

  6. Van Damme, E. (1992), ‘Refinements of Nash Equilibria,’ Advances in Economic Theory, J.J. Laffont ed., Cambridge University Press.

  7. Gale, D. (1992), ‘Dynamic Coordination Games,’ Boston University, Ruth Pollak working paper # 13.

  8. Kramarz, F. (1993a), ‘The Decentralized Emergence of Language in SenderReceiver Games,’ mimeo, INSEE.

  9. Kramarz, F. (1993b), ‘Coordination Games with Incomplete Information,’ mimeo, INSEE.

  10. Kreps, D.M. (1990), ‘Corporate Culture and Economic Theory’, in Perspectives on Political Economy, J.E. Alt and K.A. Shepsle eds., 90–143.

  11. Mehta, J., C. Starmer and R. Sugden (1992), ‘Focal Points in Games with Multiple Equilibria: An Empirical Investigation,’ mimeo University of East Anglia.

  12. D.J. Meyer, J.B. Van Huyck, R. Battalio and T.R. Saving (1992), ‘History's Role in Coordinating Decentralized Allocation Decisions,’ Journal of Political Economy, 100, 292–316.

    Google Scholar 

  13. Papadimitriou, C. H. and J. Tsitsiklis (1982), ‘On the Complexity of Designing Distributed Protocols,’ Information and Control, 53, 211–218.

    Google Scholar 

  14. Papadimitriou, C. H. and J. Tsitsiklis (1986), ‘Intractable Problems in Control Theory,’ Siam Journal of Control and Optimization, 24, 4, 639–654.

    Google Scholar 

  15. Ponssard, J.P. (1990), ‘Self Enforceable Paths in Games in Extensive Form: A Behavioral Approach Based on Interactivity,’ Theory and Decision, 28, 69–83.

    Google Scholar 

  16. Ponssard, J.P. (1994), ‘Formalisation des Connaissances, Apprentissage Organisationnel et Rationalité Interactive,’ in Analyse Economique des Conventions, A. Orléan ed., P.U.F., Paris.

    Google Scholar 

  17. Schelling, T. (1960), The Strategy of Conflict, Cambridge, Ma: Harvard University Press.

    Google Scholar 

  18. Tsitsiklis, J.N. and M. Athans (1985), ‘On the Complexity of Decentralized Decision Making and Detection Problems, ’ IEEE Transactions on Automatic Control, 30, 5, 440–446.

    Google Scholar 

  19. Van Huyck, J. R. Battalio and R. Beil (1991), ‘Strategic Uncertainty, Equilibrium Selection Principles and Coordination Failure in Average Opinion Games,’ Quarterly Journal of Economics, 106, 885–910.

    Google Scholar 

  20. Young, H. P. (1993), ‘The Evolution of Conventions,’ Econometrica, 61, 57–84.

    Google Scholar 

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Kramarz, F. Dynamic focal points in N-person coordination games. Theor Decis 40, 277–313 (1996). https://doi.org/10.1007/BF00134211

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