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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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    3. 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.
    4. 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.
    5. Clara Ponsatí, 2004. "Economic Diplomacy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(5), pages 675-691, December.
    6. , & , & ,, 2012. "Optimal deadlines for agreements," Theoretical Economics, Econometric Society, vol. 7(2), May.
    7. Back, Kerry & Barton, Paul, 2022. "Mediation and strategic delay in bargaining and markets," Journal of Economic Dynamics and Control, Elsevier, vol. 141(C).
    8. Johannes Hörner & Nicolas Sahuguet, 2011. "A war of attrition with endogenous effort levels," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 1-27, May.
    9. Hanato, Shunsuke, 2019. "Simultaneous-offers bargaining with a mediator," Games and Economic Behavior, Elsevier, vol. 117(C), pages 361-379.
    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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