IDEAS home Printed from https://ideas.repec.org/p/esi/discus/2005-01.html
   My bibliography  Save this paper

Approximate Quantal Response Equilibria in Bargaining

Author

Listed:
  • Luis G. Gonzalez

Abstract

The Nash Bargaining problem in the context of a random utility model yields a stochastic demand for each player, conditional on his or her beliefs regarding the other player's behavior. We derive a symmetric logit equilibrium under naive expectations that converges to the Nash axiomatic solution as noise in utility vanishes. A numerical approximation to the symmetric logit equilibrium under rational expectations (Quantal Response Equilibrium) solution is also computed.

Suggested Citation

  • Luis G. Gonzalez, 2005. "Approximate Quantal Response Equilibria in Bargaining," Papers on Strategic Interaction 2005-01, Max Planck Institute of Economics, Strategic Interaction Group.
    • Handle: RePEc:esi:discus:2005-01
    as

    Download full text from publisher

    File URL: ftp://papers.econ.mpg.de/esi/discussionpapers/2005-01.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    5. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nejat Anbarci & Nick Feltovich, 2013. "How sensitive are bargaining outcomes to changes in disagreement payoffs?," Experimental Economics, Springer;Economic Science Association, vol. 16(4), pages 560-596, December.
    2. Hwang, Sung-Ha & Rey-Bellet, Luc, 2021. "Positive feedback in coordination games: Stochastic evolutionary dynamics and the logit choice rule," Games and Economic Behavior, Elsevier, vol. 126(C), pages 355-373.
    3. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 7, pages 179-225, Elsevier.
    4. Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
    5. Anbarci, Nejat & Feltovich, Nick, 2018. "How fully do people exploit their bargaining position? The effects of bargaining institution and the 50–50 norm," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 320-334.
    6. Nejat Anbarci & Nick Feltovich, 2013. "How responsive are people to changes in their bargaining position? Earned bargaining power and the 50–50 norm," EcoMod2013 5855, EcoMod.
    7. Anbarci, Nejat & Feltovich, Nick, 2012. "Bargaining with random implementation: An experimental study," Games and Economic Behavior, Elsevier, vol. 76(2), pages 495-514.
    8. Feltovich, Nick, 2019. "Is earned bargaining power more fully exploited?," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 152-180.
    9. Güth, Werner, 1998. "Sequential versus independent commitment: An indirect evolutionary analysis of bargaining rules," SFB 373 Discussion Papers 1998,5, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    10. Takeuchi, Ai & Veszteg, Róbert F. & Kamijo, Yoshio & Funaki, Yukihiko, 2022. "Bargaining over a jointly produced pie: The effect of the production function on bargaining outcomes," Games and Economic Behavior, Elsevier, vol. 134(C), pages 169-198.
    11. Anbarci, Nejat & Skaperdas, Stergios & Syropoulos, Constantinos, 2002. "Comparing Bargaining Solutions in the Shadow of Conflict: How Norms against Threats Can Have Real Effects," Journal of Economic Theory, Elsevier, vol. 106(1), pages 1-16, September.
    12. Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
    13. Kapeller, Jakob & Steinerberger, Stefan, 2017. "Stability, fairness and random walks in the bargaining problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 60-71.
    14. Hwang, Sung-Ha & Lim, Wooyoung & Neary, Philip & Newton, Jonathan, 2018. "Conventional contracts, intentional behavior and logit choice: Equality without symmetry," Games and Economic Behavior, Elsevier, vol. 110(C), pages 273-294.
    15. Okada, Akira, 2010. "The Nash bargaining solution in general n-person cooperative games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2356-2379, November.
    16. Hadi Charkhgard & Martin Savelsbergh & Masoud Talebian, 2018. "Nondominated Nash points: application of biobjective mixed integer programming," 4OR, Springer, vol. 16(2), pages 151-171, June.
    17. Feltovich, Nick & Swierzbinski, Joe, 2011. "The role of strategic uncertainty in games: An experimental study of cheap talk and contracts in the Nash demand game," European Economic Review, Elsevier, vol. 55(4), pages 554-574, May.
    18. Jiang, Wenjun & Ren, Jiandong & Yang, Chen & Hong, Hanping, 2019. "On optimal reinsurance treaties in cooperative game under heterogeneous beliefs," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 173-184.
    19. Bendoly, Elliot & van Wezel, Wout & Bachrach, Daniel G. (ed.), 2015. "The Handbook of Behavioral Operations Management: Social and Psychological Dynamics in Production and Service Settings," OUP Catalogue, Oxford University Press, number 9780199357222.
    20. Ewa Roszkowska & Tom R. Burns, 2010. "Fuzzy Bargaining Games: Conditions of Agreement, Satisfaction, and Equilibrium," Group Decision and Negotiation, Springer, vol. 19(5), pages 421-440, September.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:esi:discus:2005-01. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Karin Richter (email available below). General contact details of provider: https://edirc.repec.org/data/mpiewde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.