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Coordinating with a “Problem Solver”

Author

Listed:
  • Jacob Glazer

    (Coller School of Management, Tel Aviv University, Tel Aviv 69978, Israel; and)

  • Ariel Rubinstein Rubinstein

    (School of Economics, Tel Aviv University, Tel Aviv, Israel 69978; and Department of Economics, New York University, New York, New York 10012)

Abstract

A “problem solver” (PS) is an agent who when interacting with other agents does not “put himself in their shoes” but rather chooses a best response to a uniform distribution over all possible configurations consistent with the information he receives about the other agents’ moves. We demonstrate the special features of a PS by analyzing a modified coordination game. In the first stage, each of the other participants—who are treated as conventional players—chooses a location. The PS then receives some partial information about their moves and chooses his location. The PS wishes to coordinate with any one of the conventional players and they wish to coordinate with him but not with each other. Equilibria are characterized and shown to have different properties than those of Nash equilibria when the PS is treated as a conventional player. This paper was accepted by Joshua Gans, business strategy.

Suggested Citation

  • Jacob Glazer & Ariel Rubinstein Rubinstein, 2019. "Coordinating with a “Problem Solver”," Management Science, INFORMS, vol. 67(6), pages 2813-2819, June.
  • Handle: RePEc:inm:ormnsc:v:65:y:2019:i:6:p:2813-2819
    DOI: 10.1287/mnsc.2018.3078
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    References listed on IDEAS

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    1. Crawford, Vincent P & Haller, Hans, 1990. "Learning How to Cooperate: Optimal Play in Repeated Coordination Games," Econometrica, Econometric Society, vol. 58(3), pages 571-595, May.
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    Cited by:

    1. Eliaz, Kfir & Spiegler, Ran & Thysen, Heidi C., 2021. "Persuasion with endogenous misspecified beliefs," European Economic Review, Elsevier, vol. 134(C).

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