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A Simple Bargaining Mechanism That Elicits Truthful Reservation Prices

Author

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  • Brams, Steven J.
  • Kaplan, Todd R
  • Kilgour, D. Marc

Abstract

We describe a simple 2-stage mechanism that induces two bargainers to be truthful in reporting their reservation prices in a 1st stage. If these prices criss-cross, the referee reports that they overlap, and the bargainers proceed to make offers in a 2nd stage. The average of the 2nd-stage offers becomes the settlement if both offers fall into the overlap interval; if only one offer falls into this interval, it is the settlement, but is implemented with probability 1/2; if neither offer falls into the interval, there is no settlement. Thus, if the bargainers reach the 2nd stage, they know their reservation prices overlap even if they fail to reach a settlement, possibly motivating them to try again.

Suggested Citation

  • Brams, Steven J. & Kaplan, Todd R & Kilgour, D. Marc, 2011. "A Simple Bargaining Mechanism That Elicits Truthful Reservation Prices," MPRA Paper 28999, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:28999
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    References listed on IDEAS

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    More about this item

    Keywords

    Bargaining; truth-telling mechanisms; probabilistic implementation; incomplete information.;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • J52 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Dispute Resolution: Strikes, Arbitration, and Mediation
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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