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Escalation Game with Endogenous Demands and The Nash Bargaining Solution

Author

Listed:
  • Helena Hye-Young Kim

    () (Department of Economics, Korea University)

  • Frand Spinnewyn

    (Department of Economic, K.U.Leuven)

Abstract

The paper examines the behavior of two agents who need to make a joint decision but they have conflicting preferences about the choice of the outcome. Conventionally such problem is considered as the bargaining problem described as the situation of dividing a pie. But we introduce the model that sheds a different light on the problem in question. The problem is described as the conflict situation modelled as a two-stage game. In the first stage players propose outcomes. The settlement is made if the proposed outcomes are the same. If not, the game moves onto the second stage where they play the concession game called the escalation game. In the escalation game, each player, in turn, has the choice between either to submit by accepting the other’s demand or to escalate by way of insisting his demand to be accepted. Each escalation generates a probability of an inefficient outcome. There are two main findings: (1) it is shown that the player’s decision is determined by his risk limit which measures his intensity towards winning. (2) if the escalation game allocates the demand of the player with the highest risk limit, then players propose the Nash cooperative solution.

Suggested Citation

  • Helena Hye-Young Kim & Frand Spinnewyn, 2007. "Escalation Game with Endogenous Demands and The Nash Bargaining Solution," Discussion Paper Series 0709, Institute of Economic Research, Korea University.
  • Handle: RePEc:iek:wpaper:0709
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    File URL: http://econ.korea.ac.kr/~ri/WorkingPapers/w0709.pdf
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    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Janusz A. Ordover & Ariel Rubinstein, 1986. "A Sequential Concession Game with Asymmetric Information," The Quarterly Journal of Economics, Oxford University Press, vol. 101(4), pages 879-888.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Bargaining; Risk Limit; Nash Bargaining Solution;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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