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How sensitive are bargaining outcomes to changes in disagreement payoffs?

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  • Nejat Anbarci
  • Nick Feltovich

Abstract

We use a human-subjects experiment to investigate how bargaining outcomes are affected by changes in bargainers’ disagreement payoffs. Subjects bargain against changing opponents, with randomly drawn asymmetric disagreement outcomes that vary over plays of the game, and with complete information about disagreement payoffs and the cake size. We find that subjects only respond about half as much as theoretically predicted to changes in their own disagreement payoff and to changes in their opponent’s disagreement payoff. This effect is observed in a standard Nash demand game and a related unstructured bargaining game, in both early and late rounds, and is robust to moderate changes in stake sizes. We show theoretically that standard models of expected utility maximisation are unable to account for this under-responsiveness, even when generalised to allow for risk aversion. We also show that quantal-response equilibrium has, at best, mixed success in characterising our results. However, a simple model of other-regarding preferences can explain our main results. Copyright Economic Science Association 2013

Suggested Citation

  • 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.
  • Handle: RePEc:kap:expeco:v:16:y:2013:i:4:p:560-596
    DOI: 10.1007/s10683-013-9352-1
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    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. 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.
    3. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    4. 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.
    5. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    6. 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.
    7. Simon G�chter & Arno Riedl, "undated". "Moral Property Rights in Bargaining," IEW - Working Papers 113, Institute for Empirical Research in Economics - University of Zurich.
    8. Bolton, Gary E, 1991. "A Comparative Model of Bargaining: Theory and Evidence," American Economic Review, American Economic Association, vol. 81(5), pages 1096-1136, December.
    9. 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.
    10. Ochs, Jack & Roth, Alvin E, 1989. "An Experimental Study of Sequential Bargaining," American Economic Review, American Economic Association, vol. 79(3), pages 355-384, June.
    11. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
    12. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    13. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    14. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    15. Perry Motty & Reny Philip J., 1993. "A Non-cooperative Bargaining Model with Strategically Timed Offers," Journal of Economic Theory, Elsevier, vol. 59(1), pages 50-77, February.
    16. Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, vol. 42(1), pages 50-58, June.
    17. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    18. Roth, Alvin E. & Vesna Prasnikar & Masahiro Okuno-Fujiwara & Shmuel Zamir, 1991. "Bargaining and Market Behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An Experimental Study," American Economic Review, American Economic Association, vol. 81(5), pages 1068-1095, December.
    19. Binmore, Ken, et al, 1998. "Hard Bargains and Lost Opportunities," Economic Journal, Royal Economic Society, vol. 108(450), pages 1279-1298, September.
    20. James Andreoni & B. Douglas Bernheim, 2009. "Social Image and the 50-50 Norm: A Theoretical and Experimental Analysis of Audience Effects," Econometrica, Econometric Society, vol. 77(5), pages 1607-1636, September.
    21. Simon, Leo K & Stinchcombe, Maxwell B, 1989. "Extensive Form Games in Continuous Time: Pure Strategies," Econometrica, Econometric Society, vol. 57(5), pages 1171-1214, September.
    22. Fischer, Sven & Guth, Werner & Pull, Kerstin, 2007. "Is there as-if bargaining?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 36(4), pages 546-560, August.
    23. repec:cup:cbooks:9780521555838 is not listed on IDEAS
    24. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    25. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
    26. Binmore, Ken & Morgan, Peter & Snaked, Avner & Sutton, John, 1991. "Do people exploit their bargaining power? An experimental study," Games and Economic Behavior, Elsevier, vol. 3(3), pages 295-322, August.
    27. Harrison, Glenn W., 1987. "Risk aversion and the Nash solution in stochastic bargaining experiments," Economics Letters, Elsevier, vol. 24(4), pages 321-326.
    28. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    29. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    30. Simon Gächter & Arno Riedl, 2005. "Moral Property Rights in Bargaining with Infeasible Claims," Management Science, INFORMS, vol. 51(2), pages 249-263, February.
    31. Hoffman, Elizabeth & Spitzer, Matthew L, 1982. "The Coase Theorem: Some Experimental Tests," Journal of Law and Economics, University of Chicago Press, vol. 25(1), pages 73-98, April.
    32. Robert Slonim & Alvin E. Roth, 1998. "Learning in High Stakes Ultimatum Games: An Experiment in the Slovak Republic," Econometrica, Econometric Society, vol. 66(3), pages 569-596, May.
    33. Bruno S. Frey & Iris Bohnet, 1999. "Social Distance and Other-Regarding Behavior in Dictator Games: Comment," American Economic Review, American Economic Association, vol. 89(1), pages 335-339, March.
    34. Binmore, K & Shaked, A & Sutton, J, 1985. "Testing Noncooperative Bargaining Theory: A Preliminary Study," American Economic Review, American Economic Association, vol. 75(5), pages 1178-1180, December.
    35. Rankin, Frederick W., 2006. "Requests and social distance in dictator games," Journal of Economic Behavior & Organization, Elsevier, vol. 60(1), pages 27-36, May.
    36. Cameron, Lisa A, 1999. "Raising the Stakes in the Ultimatum Game: Experimental Evidence from Indonesia," Economic Inquiry, Western Economic Association International, vol. 37(1), pages 47-59, January.
    37. Binmore, Ken, 2007. "Playing for Real: A Text on Game Theory," OUP Catalogue, Oxford University Press, number 9780195300574.
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    More about this item

    Keywords

    Nash demand game; Unstructured bargaining; Disagreement; Experiment; Risk aversion; Social preference; Other-regarding behaviour; Bargaining power; C78; C72; D81; D74;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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