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A Simple Bargaining Mechanism That Elicits Truthful Reservation Prices

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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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    1. Alexey Kushnir, 2013. "On the equivalence between Bayesian and dominant strategy implementation: the case of correlated types," ECON - Working Papers 129, Department of Economics - University of Zurich.
    2. Rapoport, Amnon & Daniel, Terry E. & Seale, Darryl A., 2008. "Asymmetric Two-person Bargaining Under Incomplete Information: Strategic Play and Adaptive Learning," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 62, pages 560-571, Elsevier.
    3. John Riley & Richard Zeckhauser, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 267-289.
    4. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    5. Hagerty, Kathleen M. & Rogerson, William P., 1987. "Robust trading mechanisms," Journal of Economic Theory, Elsevier, vol. 42(1), pages 94-107, June.
    6. Zeng, Dao-Zhi & Nakamura, Shinya & Ibaraki, Toshihide, 1996. "Double-offer arbitration," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 147-170, June.
    7. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    8. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    9. Alex Gershkov & Jacob K. Goeree & Alexey Kushnir & Benny Moldovanu & Xianwen Shi, 2013. "On the Equivalence of Bayesian and Dominant Strategy Implementation," Econometrica, Econometric Society, vol. 81(1), pages 197-220, January.
    10. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    11. Steven J. Brams & Samuel Merrill, III, 1986. "Binding Versus Final-Offer Arbitration: A Combination is Best," Management Science, INFORMS, vol. 32(10), pages 1346-1355, October.
    12. Leininger, W. & Linhart, P. B. & Radner, R., 1989. "Equilibria of the sealed-bid mechanism for bargaining with incomplete information," Journal of Economic Theory, Elsevier, vol. 48(1), pages 63-106, June.
    13. Alejandro M. Manelli & Daniel R. Vincent, 2010. "Bayesian and Dominant‐Strategy Implementation in the Independent Private‐Values Model," Econometrica, Econometric Society, vol. 78(6), pages 1905-1938, November.
    14. Radner, Roy & Schotter, Andrew, 1989. "The sealed-bid mechanism: An experimental study," Journal of Economic Theory, Elsevier, vol. 48(1), pages 179-220, June.
    15. Steven J. Brams & D. Marc Kilgour, 2001. "Competitive Fair Division," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 418-443, April.
    16. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    17. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    18. Zeng, Dao-Zhi, 2003. "An amendment to final-offer arbitration," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 9-19, August.
    19. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
    20. Steven J. Brams & Samuel Merrill, III, 1983. "Equilibrium Strategies for Final-Offer Arbitration: There is no Median Convergence," Management Science, INFORMS, vol. 29(8), pages 927-941, August.
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    2. Roland Kirstein, 2024. "Strategic delegation in Nash bargaining," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 45(2), pages 784-794, March.

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    Keywords

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    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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