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Optimally Stubborn

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Abstract

I consider a bargaining game with two types of players – rational and stubborn. Rational players choose demands at each point in time. Stubborn players are restricted to choose from the set of "insistent" strategies that always make the same demand and never accept anything less. However, their initial choice of demand is unrestricted. I characterize the equilibria of this game. I show that while pooling equilibria exist, fully separating equilibria do not. Relative to the case with exogenous behavioral types, strong behavioral predictions emerge: in the limit, players randomize over at most two demands. However, unlike in a world with exogenous types, there is Folk-theorem-like payoff multiplicity.

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  • Anna Sanktjohanser, 2020. "Optimally Stubborn," Cowles Foundation Discussion Papers 2255, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:2255
    Note: Includes supplemental material
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d22/d2255-a.pdf
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    References listed on IDEAS

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    1. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    2. Jack Fanning, 2016. "Reputational Bargaining and Deadlines," Econometrica, Econometric Society, vol. 84, pages 1131-1179, May.
    3. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    4. Fanning, Jack, 2018. "No compromise: Uncertain costs in reputational bargaining," Journal of Economic Theory, Elsevier, vol. 175(C), pages 518-555.
    5. Drew Fudenberg & David K. Levine, 2008. "Reputation And Equilibrium Selection In Games With A Patient Player," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 7, pages 123-142, World Scientific Publishing Co. Pte. Ltd..
    6. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
    7. Drew Fudenberg & David K. Levine, 2008. "Maintaining a Reputation when Strategies are Imperfectly Observed," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 8, pages 143-161, World Scientific Publishing Co. Pte. Ltd..
    8. Abreu, Dilip & Sethi, Rajiv, 2003. "Evolutionary stability in a reputational model of bargaining," Games and Economic Behavior, Elsevier, vol. 44(2), pages 195-216, August.
    9. Abreu, Dilip & Pearce, David G. & Stacchetti, Ennio, 2015. "One-sided uncertainty and delay in reputational bargaining," Theoretical Economics, Econometric Society, vol. 10(3), September.
    10. Alp E. Atakan & Mehmet Ekmekci, 2014. "Bargaining and Reputation in Search Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(1), pages 1-29.
    11. ,, 2009. "The Coase conjecture with incomplete information on the monopolist's commitment," Theoretical Economics, Econometric Society, vol. 4(1), March.
    12. Dilip Abreu & David Pearce, 2015. "A Dynamic Reinterpretation of Nash Bargaining With Endogenous Threats," Econometrica, Econometric Society, vol. 83(4), pages 1641-1655, July.
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    Keywords

    Reputation; Bargaining; Behavioral types; War of attrition;
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