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Monotone and bounded interval equilibria in a coordination game with information aggregation

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  • Shadmehr, Mehdi
  • Bernhardt, Dan

Abstract

We analyze how private learning in a class of games with common stochastic payoffs affects the form of equilibria, and how properties such as player welfare and the extent of strategic miscoordination relate across monotone and non-monotone equilibria. Researchers typically focus on monotone equilibria. We provide conditions under which non-monotone equilibria also exist, where players attempt to coordinate to obtain the stochastic payoff whenever signals are in a bounded interval. In bounded interval equilibria (BIE), an endogenous fear of miscoordination discourages players from coordinating to obtain the stochastic payoff when their signals suggest coordination is most beneficial. In contrast to monotone equilibria, expected payoffs from successful coordination in BIE are lower than the ex-ante expected payoff from ignoring signals and always trying to coordinate to obtain the stochastic payoff. We show that BIE only exist when, absent private information, the game would be a coordination game.

Suggested Citation

  • Shadmehr, Mehdi & Bernhardt, Dan, 2017. "Monotone and bounded interval equilibria in a coordination game with information aggregation," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 61-69.
  • Handle: RePEc:eee:matsoc:v:89:y:2017:i:c:p:61-69
    DOI: 10.1016/j.mathsocsci.2017.05.007
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    1. Van Zandt, Timothy & Vives, Xavier, 2007. "Monotone equilibria in Bayesian games of strategic complementarities," Journal of Economic Theory, Elsevier, vol. 134(1), pages 339-360, May.
    2. Sylvain Chassang & Gerard Padró I Miquel, 2010. "Conflict and Deterrence Under Strategic Risk," The Quarterly Journal of Economics, Oxford University Press, vol. 125(4), pages 1821-1858.
    3. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    4. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2014. "A constructive study of Markov equilibria in stochastic games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 150(C), pages 815-840.
    5. Shadmehr, Mehdi & Bernhardt, Dan, 2011. "Collective Action with Uncertain Payoffs: Coordination, Public Signals, and Punishment Dilemmas," American Political Science Review, Cambridge University Press, vol. 105(4), pages 829-851, November.
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