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Mediation: Incomplete information bargaining with

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Abstract

We analyze a continuous-time bilateral double auction in the presence of two-sided incomplete information and a smallest money unit. A distinguishing feature of our model is that intermediate concessions are not observable by the adversary: they are only communicated to a passive auctioneer. An alternative interpretation is that of mediated bargaining. We show that an equilibrium using only the extreme agreements always exists and display the necessary and sufficient condition for the existence of (perfect Bayesian) equilibra which yield intermediate agreements. For the symmetric case with uniform type distribution we numerically calculate the equilibria. We find that the equilibrium which does not use compromise agreements is the least efficient, however, the rest of the equilibria yield the lower social welfare the higher number of compromise agreements are used.

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  • Xavier Jarque & Clara Ponsat?Author-Name: Jozsef Sakovics, 2001. "Mediation: Incomplete information bargaining with," UFAE and IAE Working Papers 502.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  • Handle: RePEc:aub:autbar:502.01
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    1. Peter C. Cramton, 1984. "Bargaining with Incomplete Information: An Infinite-Horizon Model with Two-Sided Uncertainty," Review of Economic Studies, Oxford University Press, vol. 51(4), pages 579-593.
    2. Van Damme, Eric & Selten, Reinhard & Winter, Eyal, 1990. "Alternating bid bargaining with a smallest money unit," Games and Economic Behavior, Elsevier, vol. 2(2), pages 188-201, June.
    3. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    4. In-Koo Cho, 1990. "Uncertainty and Delay in Bargaining," Review of Economic Studies, Oxford University Press, vol. 57(4), pages 575-595.
    5. Kalyan Chatterjee & Larry Samuelson, 1987. "Bargaining with Two-sided Incomplete Information: An Infinite Horizon Model with Alternating Offers," Review of Economic Studies, Oxford University Press, vol. 54(2), pages 175-192.
    6. Ausubel, Lawrence M. & Cramton, Peter & Deneckere, Raymond J., 2002. "Bargaining with incomplete information," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 50, pages 1897-1945 Elsevier.
    7. Lawrence M. Ausubel & Raymond J. Deneckere, 1992. "Durable Goods Monopoly with Incomplete Information," Review of Economic Studies, Oxford University Press, vol. 59(4), pages 795-812.
    8. Gresik, Thomas A., 1996. "Incentive-Efficient Equilibria of Two-Party Sealed-Bid Bargaining Games," Journal of Economic Theory, Elsevier, vol. 68(1), pages 26-48, January.
    9. Peter C. Cramton, 1992. "Strategic Delay in Bargaining with Two-Sided Uncertainty," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 205-225.
    10. Ausubel, Lawrence M & Deneckere, Raymond J, 1992. "Bargaining and the Right to Remain Silent," Econometrica, Econometric Society, vol. 60(3), pages 597-625, May.
    11. Sakovics Jozsef, 1993. "Delay in Bargaining Games with Complete Information," Journal of Economic Theory, Elsevier, vol. 59(1), pages 78-95, February.
    12. Anat R. Admati & Motty Perry, 1987. "Strategic Delay in Bargaining," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 345-364.
    13. Ponsati C. & Sakovics, J., 1996. "The war of attrition with incomplete information," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 54-54, February.
    14. Drew Fudenberg & Jean Tirole, 1983. "Sequential Bargaining with Incomplete Information," Review of Economic Studies, Oxford University Press, vol. 50(2), pages 221-247.
    15. 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.
    16. Joel Watson, 1998. "Alternating-Offer Bargaining with Two-Sided Incomplete Information," Review of Economic Studies, Oxford University Press, vol. 65(3), pages 573-594.
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    Cited by:

    1. Paola Manzini & Clara Ponsati', 2001. "Stakeholders, Bargaining and Strikes," Game Theory and Information 0112001, EconWPA.

    More about this item

    Keywords

    Noncooperative games; bargaining theory;

    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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