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Rubinstein bargaining with two-sided outside options

Author

Listed:
  • JÕzsef SÂkovics

    (Institut d'AnÁlisi EconÔmica , Campus UAB, E-08193 Bellaterra, SPAIN)

  • Clara PonsatÎ

    (CODE and Dept. d'Econ. i Hist. Econ., Universitat AutÔnoma de Barcelona, E-08193 Bellaterra, SPAIN)

Abstract

In this note we show that if in the standard Rubinstein model both players are allowed to leave the negotiation after a rejection, in which case they obtain a payoff of zero, then there exist a continuum of subgame-perfect equilibrium outcomes, including some which involve significant delay. We also fully characterize the case in which, upon quitting, the players can take an outside option of positive value.

Suggested Citation

  • JÕzsef SÂkovics & Clara PonsatÎ, 1998. "Rubinstein bargaining with two-sided outside options," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 667-672.
    • Handle: RePEc:spr:joecth:v:11:y:1998:i:3:p:667-672
    Note: Received: February 27, 1996; revised version: March 28, 1997
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    Cited by:

    1. Guha, Brishti, 2019. "Malice and patience in Rubinstein bargaining," Research in Economics, Elsevier, vol. 73(3), pages 264-270.
    2. Clara Ponsati & Jozsef Sakovics, 2002. "The provision of quality in a bilateral search market," Edinburgh School of Economics Discussion Paper Series 86, Edinburgh School of Economics, University of Edinburgh.
    3. Emily Tanimura & Sylvie Thoron, 2016. "How Best to Disagree in Order to Agree?," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 1-17, September.
    4. Schweighofer-Kodritsch, Sebastian, 2022. "The bargaining trap," Games and Economic Behavior, Elsevier, vol. 136(C), pages 249-254.
    5. 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.
    6. Bahar Leventoğlu, 2017. "Bargaining with habit formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 477-508, October.
    7. Rong, Kang, 2012. "Alternating-offer games with final-offer arbitration," Games and Economic Behavior, Elsevier, vol. 76(2), pages 596-610.
    8. Ana Paula Martins, 2010. "Splitting Games: Nash Equilibrium and the Optimisation Problem," Journal of Economics and Econometrics, Economics and Econometrics Society, vol. 53(1), pages 1-28.
    9. Ponsati Clara, 2004. "Search and Bargaining in Large Markets With Homogeneous Traders," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 4(1), pages 1-27, February.
    10. J. Amegashie, 2011. "Incomplete property rights and overinvestment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(1), pages 81-95, June.
    11. Kang Rong, 2015. "Bargaining with split-the-difference arbitration," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 441-455, September.
    12. Watson, Joel, 2020. "On the outside-option principle with one-sided options," Economics Letters, Elsevier, vol. 191(C).
    13. Miettinen, Topi & Perea, Andrés, 2015. "Commitment in alternating offers bargaining," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 12-18.
    14. Clara Ponsati & Jozsef Sakovics, 2005. "Markets for professional services: queues and mediocrity," Edinburgh School of Economics Discussion Paper Series 133, Edinburgh School of Economics, University of Edinburgh.
    15. Li, Duozhe, 2011. "The power to delay," Economics Letters, Elsevier, vol. 112(2), pages 155-157, August.
    16. Clara Ponsatí & József Sákovics, 2001. "Randomly available outside options in bargaining," Spanish Economic Review, Springer;Spanish Economic Association, vol. 3(4), pages 231-252.
    17. Louta, Malamati & Roussaki, Ioanna & Pechlivanos, Lambros, 2008. "An intelligent agent negotiation strategy in the electronic marketplace environment," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1327-1345, June.
    18. Manel Baucells & Steven A. Lippman, 2004. "Bargaining with Search as an Outside Option: The Impact of the Buyer's Future Availability," Decision Analysis, INFORMS, vol. 1(4), pages 235-249, December.
    19. Ponsatí­, Clara & Sákovics, József, 2008. "Queues, not just mediocrity: Inefficiency in decentralized markets with vertical differentiation," International Journal of Industrial Organization, Elsevier, vol. 26(4), pages 998-1014, July.
    20. Aseem Mahajan & Reuben Kline & Dustin Tingley, 2022. "Collective Risk and Distributional Equity in Climate Change Bargaining," Journal of Conflict Resolution, Peace Science Society (International), vol. 66(1), pages 61-90, January.
    21. Kıbrıs, Özgür & Tapkı, İpek Gürsel, 2011. "Bargaining with nonanonymous disagreement: Decomposable rules," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 151-161.
    22. KIbrIs, Özgür & TapkI, Ipek Gürsel, 2010. "Bargaining with nonanonymous disagreement: Monotonic rules," Games and Economic Behavior, Elsevier, vol. 68(1), pages 233-241, January.
    23. María Mercedes Adamuz & Clara Ponsatí, 2009. "Arbitration systems and negotiations," Review of Economic Design, Springer;Society for Economic Design, vol. 13(3), pages 279-303, September.

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