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Alternating offers bargaining with loss aversion

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  • Driesen, B.W.I.

    (Quantitative Economics)

  • Perea ý Monsuwé, A.

    (Quantitative Economics)

  • Peters, H.J.M.

    (Quantitative Economics)

Abstract

The Rubinstein alternating offers bargaining game is reconsidered under the assumption that each player is loss averse and the associated reference point is equal to the highest turned down offer of the opponent in the past. This makes the payoffs and therefore potential equilibrium strategies dependent on the history of play. A subgame perfect equilibrium is constructed, in which the strategies depend on the history of play through the current reference points. It is shown that this equilibrium is unique under some assumptions that it shares with the equilibrium in the classical model: immediate acceptance of equilibrium offers, indifference between acceptance and rejection of such offers, and strategies depending only on the current reference points. It is also shown that in this equilibrium loss aversion is a disadvantage. Moreover, a relation with asymmetric Nash bargaining is established, where a player’s bargaining power is negatively related to own loss aversion and positively to the opponent’s loss aversion.
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Suggested Citation

  • Driesen, B.W.I. & Perea ý Monsuwé, A. & Peters, H.J.M., 2009. "Alternating offers bargaining with loss aversion," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2009001
    DOI: 10.26481/umamet.2009001
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Roth, Alvin E, 1985. "A Note on Risk Aversion in a Perfect Equilibrium Model of Bargaining," Econometrica, Econometric Society, vol. 53(1), pages 207-211, January.
    3. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    4. Jonathan Shalev, 2002. "Loss Aversion and Bargaining," Theory and Decision, Springer, vol. 52(3), pages 201-232, May.
    5. Kobberling, Veronika & Peters, Hans, 2003. "The effect of decision weights in bargaining problems," Journal of Economic Theory, Elsevier, vol. 110(1), pages 154-175, May.
    6. Peters, Hans, 2012. "A preference foundation for constant loss aversion," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 21-25.
    7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    8. Safra Zvi & Zilcha Itzhak, 1993. "Bargaining Solutions without the Expected Utility Hypothesis," Games and Economic Behavior, Elsevier, vol. 5(2), pages 288-306, April.
    9. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 259-276.
    10. Kyle Hyndman, 2011. "Repeated bargaining with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 527-549, August.
    11. Hendon, Ebbe & Jacobsen, Hans Jorgen & Sloth, Birgitte, 1996. "The One-Shot-Deviation Principle for Sequential Rationality," Games and Economic Behavior, Elsevier, vol. 12(2), pages 274-282, February.
    12. John C. Harsanyi & Reinhard Selten, 1972. "A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information," Management Science, INFORMS, vol. 18(5-Part-2), pages 80-106, January.
    13. Li, Duozhe, 2007. "Bargaining with history-dependent preferences," Journal of Economic Theory, Elsevier, vol. 136(1), pages 695-708, September.
    14. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-1364, November.
    15. Jesse A. Schwartz & Quan Wen, 2007. "Wage Negotiation Under Good Faith Bargaining," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(03), pages 551-564.
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    Cited by:

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    2. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    3. Tarık Kara & Emin Karagözoğlu & Elif Özcan-Tok, 2021. "Bargaining, Reference Points, and Limited Influence," Dynamic Games and Applications, Springer, vol. 11(2), pages 326-362, June.
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    6. Zhen Li & Jia Zhao & Qingfeng Meng, 2022. "Dual-channel recycling e-waste pricing decision under the impact of recyclers’ loss aversion and consumers’ bargaining power," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(10), pages 11697-11720, October.
    7. Sawa, Ryoji, 2021. "A prospect theory Nash bargaining solution and its stochastic stability," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 692-711.
    8. Zhaoyu Cao & Xu Zhao & Yucheng Zou & Kairong Hong & Yanwei Zhang, 2021. "Multidimensional Fair Fuzzy Equilibrium Evaluation of Housing Expropriation Compensation from the Perspective of Behavioral Preference: A Case Study from China," Mathematics, MDPI, vol. 9(6), pages 1-22, March.
    9. Khan, Abhimanyu, 2022. "Expected utility versus cumulative prospect theory in an evolutionary model of bargaining," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).
    10. Zhongwei Feng & Chunqiao Tan, 2019. "Pricing, Green Degree and Coordination Decisions in a Green Supply Chain with Loss Aversion," Mathematics, MDPI, vol. 7(3), pages 1-25, March.
    11. Zhongwei Feng & Yan Ma & Yuzhong Yang, 2023. "Credibilistic Cournot Game with Risk Aversion under a Fuzzy Environment," Mathematics, MDPI, vol. 11(4), pages 1-18, February.
    12. Kohler, Stefan, 2012. "Envy can promote more equal division in alternating-offer bargaining," MPRA Paper 40761, University Library of Munich, Germany.
    13. Chunsheng Cui & Zhongwei Feng & Chunqiao Tan, 2018. "Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs," Complexity, Hindawi, vol. 2018, pages 1-16, December.
    14. Yu, Zhixian, 2020. "Alternating-offer bargaining with endogenous commitment," Economics Letters, Elsevier, vol. 192(C).
    15. Zhongwei Feng & Chunqiao Tan, 2019. "Subgame Perfect Equilibrium in the Rubinstein Bargaining Game with Loss Aversion," Complexity, Hindawi, vol. 2019, pages 1-23, March.
    16. Emin Karagözoğlu & Kerim Keskin, 2018. "Endogenous reference points in bargaining," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 283-295, October.
    17. Emin Karagözoğlu & Kerim Keskin, 2015. "A Tale of Two Bargaining Solutions," Games, MDPI, vol. 6(2), pages 1-14, June.
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    19. Husnain Fateh Ahmad, 2020. "Self serving reference points in k−double auctions," Bulletin of Economic Research, Wiley Blackwell, vol. 72(1), pages 77-85, January.

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