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Bargaining, Interdependence and the Rationality of Fair Division

  • Giuseppe Lopomo
  • Efe A Ok

We consider two-person bargaining games with interdependent preferences and bilateral incomplete information. We show that in both the ultimatum game and the two-stage alternating-offers game, our equilibrium predictions are consistent with a number of robust experimental regularities that falsify the standard game theoretic model: occurrence of disagreements, disadvantageous counteroffers, and outcomes that come close to the equal split of the pie. In the context of infinite-horizon bargaining, the implications of the model pertaining to fair outcomes is even stronger. In particular, the Coase property in our case generates "almost" 50-50 splits of the pie, almost immediately. The present approach thus provides a positive theory for the frequently encountered phenomenon of the 50-50 division of the gains from trade. Copyright 2001 by the RAND Corporation.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 563824000000000114.

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Date of creation: 20 May 2001
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Handle: RePEc:cla:levarc:563824000000000114
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  1. Bolton Gary E. & Zwick Rami, 1995. "Anonymity versus Punishment in Ultimatum Bargaining," Games and Economic Behavior, Elsevier, vol. 10(1), pages 95-121, July.
  2. Andreoni, J. & Miller, J.H., 1996. "Giving According to GARP: An Experimental Study of Rationality and Altruism," Working papers 9601, Wisconsin Madison - Social Systems.
  3. Cho, In-Koo, 1990. "Uncertainty and Delay in Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 57(4), pages 575-95, October.
  4. Fehr, Ernst & Schmidt, Klaus M., . "A theory of fairness, competition, and cooperation," Chapters in Economics, University of Munich, Department of Economics.
  5. Kennan, J. & Wilson, R., 1991. "Bargaining with Private Information," Working Papers 90-01rev, University of Iowa, Department of Economics.
  6. Ochs, Jack & Roth, Alvin E, 1989. "An Experimental Study of Sequential Bargaining," American Economic Review, American Economic Association, vol. 79(3), pages 355-84, June.
  7. Colin F. Camerer & Richard H. Thaler, 1995. "Anomalies: Ultimatums, Dictators and Manners," Journal of Economic Perspectives, American Economic Association, vol. 9(2), pages 209-219, Spring.
  8. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
  9. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
  10. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
  11. Bolton, Gary E., 1997. "The rationality of splitting equally," Journal of Economic Behavior & Organization, Elsevier, vol. 32(3), pages 365-381, March.
  12. Kockesen, Levent & Ok, Efe A., 1997. "Negatively Interdependent Preferences," Working Papers 97-02, C.V. Starr Center for Applied Economics, New York University.
  13. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
  14. In-Koo Cho & David M. Kreps, 1997. "Signaling Games and Stable Equilibria," Levine's Working Paper Archive 896, David K. Levine.
  15. Ellingsen, Tore, 1997. "The Evolution of Bargaining Behavior," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 581-602, May.
  16. Andrew E. Clark and Andrew J. Oswald, . "Satisfaction and Comparison Income," Economics Discussion Papers 419, University of Essex, Department of Economics.
  17. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  18. Georg Kirchsteiger, 1994. "The role of envy in ultimatum games," ULB Institutional Repository 2013/5925, ULB -- Universite Libre de Bruxelles.
  19. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
  20. Gul, Faruk & Sonnenschein, Hugo, 1988. "On Delay in Bargaining with One-Sided Uncertainty," Econometrica, Econometric Society, vol. 56(3), pages 601-11, May.
  21. Forsythe Robert & Horowitz Joel L. & Savin N. E. & Sefton Martin, 1994. "Fairness in Simple Bargaining Experiments," Games and Economic Behavior, Elsevier, vol. 6(3), pages 347-369, May.
  22. Daughety, A.F., 1993. "Socially-Influenced Choice : Equity Considerations in Models of Consumer Choice and Games," Working Papers 93-01, University of Iowa, Department of Economics.
  23. G. Bolton, 2010. "A comparative model of bargaining: theory and evidence," Levine's Working Paper Archive 263, David K. Levine.
  24. Drew Fudenberg & David K. Levine & Jean Tirole, 1985. "Infinite-Horizon Models of Bargaining with One-Sided Incomplete Information," Levine's Working Paper Archive 1098, David K. Levine.
  25. David K. Levine, 1998. "Modeling Altruism and Spitefulness in Experiment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 593-622, July.
  26. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
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