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On the existence of an equilibrium in the Split-the-Difference Mechanism over an uncountable set with a singular part

Author

Listed:
  • Jeremy Bertomeu

    (Carnegie Mellon University)

Abstract

Broman (89) analyzes the mixed Nash equilibria of the split-the-difference mechanism over countable sets. She leaves as an open question whether there may be mixed equilibria over uncountable sets with singular parts. In this note, I propose such an equilibrium the support of the strategies is the union of a countable set and an interval.

Suggested Citation

  • Jeremy Bertomeu, 2007. "On the existence of an equilibrium in the Split-the-Difference Mechanism over an uncountable set with a singular part," Economics Bulletin, AccessEcon, vol. 3(26), pages 1-5.
    • Handle: RePEc:ebl:ecbull:eb-07c70018
    as

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    References listed on IDEAS

    as
    1. Broman, Elizabeth M., 1989. "The bilateral monopoly model: Approaching certainty under the split-the-difference mechanism," Journal of Economic Theory, Elsevier, vol. 48(1), pages 134-151, June.
    2. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
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    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D0 - Microeconomics - - General

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