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Commitment in Alternating Offers Bargaining

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Abstract

We extend the Ståhl-Rubinstein alternating-offer bargaining procedure to allow players, prior to each bargaining round, to simultaneously and visibly commit to some share of the pie. If commitment costs are small but increasing in the committed share, then the unique outcome consistent with common belief in future rationality (Perea, 2009), or more restrictively subgame perfect Nash equilibrium, exhibits a second mover advantage. In particular, as the smallest share of the pie approaches zero, the horizon approaches in…nity, and commitment costs approach zero, the unique bargaining outcome corresponds to the reversed Rubinstein outcome (d/(1 + d); 1/(1 + d)).

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  • Miettinen, Topi & Perea, Andrés, 2009. "Commitment in Alternating Offers Bargaining," SITE Working Paper Series 8, Stockholm School of Economics, Stockholm Institute of Transition Economics.
    • Handle: RePEc:hhs:hasite:0008
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    Cited by:

    1. Britz, Volker, 2018. "Rent-seeking and surplus destruction in unanimity bargaining," Games and Economic Behavior, Elsevier, vol. 109(C), pages 1-20.
    2. 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.
    3. Miettinen, Topi & Vanberg, Christoph, 2020. "Commitment and Conflict in Multilateral Bargaining," Working Papers 0679, University of Heidelberg, Department of Economics.
    4. Miettinen, Topi & Perea, Andrés, 2015. "Commitment in alternating offers bargaining," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 12-18.
    5. Chung, Bobby W. & Wood, Daniel H., 2019. "Threats and promises in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 165(C), pages 37-50.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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