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Mediation: incomplete information bargaining with filtered communication

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  • Jarque, Xavier
  • Ponsati, Clara
  • Sakovics, Jozsef

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) equilibria 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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  • Jarque, Xavier & Ponsati, Clara & Sakovics, Jozsef, 2003. "Mediation: incomplete information bargaining with filtered communication," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 803-830, September.
    • Handle: RePEc:eee:mateco:v:39:y:2003:i:7:p:803-830
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    1. In-Koo Cho, 1990. "Uncertainty and Delay in Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 575-595.
    2. 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.
    3. Ponsati C. & Sakovics, J., 1996. "The war of attrition with incomplete information," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 54-54, February.
    4. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
    5. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    6. Satterthwaite, Mark A. & Williams, Steven R., 1989. "Bilateral trade with the sealed bid k-double auction: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 48(1), pages 107-133, June.
    7. 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.
    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. Ausubel, Lawrence M & Deneckere, Raymond J, 1992. "Bargaining and the Right to Remain Silent," Econometrica, Econometric Society, vol. 60(3), pages 597-625, May.
    10. Sakovics Jozsef, 1993. "Delay in Bargaining Games with Complete Information," Journal of Economic Theory, Elsevier, vol. 59(1), pages 78-95, February.
    11. Drew Fudenberg & Jean Tirole, 1983. "Sequential Bargaining with Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(2), pages 221-247.
    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. 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.
    14. Lawrence M. Ausubel & Raymond J. Deneckere, 1992. "Durable Goods Monopoly with Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 795-812.
    15. Joel Watson, 1998. "Alternating-Offer Bargaining with Two-Sided Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 573-594.
    16. Peter C. Cramton, 1992. "Strategic Delay in Bargaining with Two-Sided Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 205-225.
    17. Peter C. Cramton, 1984. "Bargaining with Incomplete Information: An Infinite-Horizon Model with Two-Sided Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 579-593.
    18. Kalyan Chatterjee & Larry Samuelson, 1987. "Bargaining with Two-sided Incomplete Information: An Infinite Horizon Model with Alternating Offers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(2), pages 175-192.
    19. Anat R. Admati & Motty Perry, 1987. "Strategic Delay in Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 345-364.
    20. repec:adr:anecst:y:1992:i:25-26:p:04 is not listed on IDEAS
    21. Clara Ponsati, 1992. "Unique Equilibrium in a Model of Bargaining over Many Issues," Annals of Economics and Statistics, GENES, issue 25-26, pages 81-100.
    22. Lawrence M. Ausubel & Raymond J. Deneckere, 1993. "Efficient Sequential Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(2), pages 435-461.
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    3. Camiña, Ester & Porteiro, Nicolás, 2009. "The role of mediation in peacemaking and peacekeeping negotiations," European Economic Review, Elsevier, vol. 53(1), pages 73-92, January.
    4. Langlois Catherine C & Langlois Jean-Pierre P., 2010. "Costly Interference: A Game Theoretic Analysis of Sanctions," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 16(1), pages 1-34, June.
    5. Barry O'Neill, 2018. "Two-Party Agreements as Circular Sets," Discussion Paper Series dp722, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    6. Clara Ponsatí, 2004. "Economic Diplomacy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(5), pages 675-691, December.
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    8. Hanato, Shunsuke, 2019. "Simultaneous-offers bargaining with a mediator," Games and Economic Behavior, Elsevier, vol. 117(C), pages 361-379.
    9. Back, Kerry & Barton, Paul, 2022. "Mediation and strategic delay in bargaining and markets," Journal of Economic Dynamics and Control, Elsevier, vol. 141(C).
    10. Heifetz, Aviad & Segev, Ella, 2005. "Escalation and delay in protracted international conflicts," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 17-37, January.

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