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A noncooperative solution to a two-person bargaining game. (English) Zbl 0617.90093
I have argued that sequential bargaining games in which the intervals between offers are allowed to become indefinitely small cannot be used to model unstructured bargaining situations, because the incentives of the players change as the intervals become significant. Thus, contrary to claims by several recent authors, such models cannot be used to justify the Bishop-Foldes bargaining solution. I have shown that this solution can be justified, on the other hand, by a very modest extension of recent work on rational expectations in noncooperative games in extensive form.
91A12 Cooperative games
91A10 Noncooperative games
Full Text: DOI
[1] Aumann, R.: 1976, ?Agreeing to Disagree?, The Annals of Statistics 4, 1236-1239. · Zbl 0379.62003 · doi:10.1214/aos/1176343654
[2] Bernheim, D.: 1984, ?Rationalizable Strategic Behavior?, Econometrica 52, 1007-1028. · Zbl 0552.90098 · doi:10.2307/1911196
[3] Binmore, K. G.: 1982, ?Perfect Equilibria in Bargaining Models?, Theoretical Economics Discussion Paper No. 58, ICERD, London School of Economics.
[4] Bishop, R. L.: 1964, ?A Zeuthen-Hicks Theory of Bargaining?, Econometrica 32, 410-417. · doi:10.2307/1913045
[5] Foldes, L.: 1964, ?A Deterministic Model of Bilateral Monopoly?, Economica 122, 117-131. · doi:10.2307/2551350
[6] Harsanyi, J.C.: 1977, Rational Behavior and Bargaining Equilibrium in Games and Social Situations, Cambridge University Press, Cambridge. · Zbl 0395.90087
[7] Kreps, D. M. and R. Wilson: 1982, ?Sequential Equilibria?, Econometrica 50, 863-894. · Zbl 0483.90092 · doi:10.2307/1912767
[8] Mori, S. and E. Tse: 1983, ?Theory of Bargaining Process: A Game Theoretical Approach?, Stanford University, Mimeo.
[9] Nicholson, M. B.: 1967, ?The Resolution of Conflict?, Journal of the Royal Statistical Society, Series A (General), 130, 529-540.
[10] Pearce, D. G.: 1984, ?Rationalizable Strategic Behavior and the Problem of Perfection?, Econometrica 52, 1029-1050. · Zbl 0552.90097 · doi:10.2307/1911197
[11] Rubinstein, A.: 1982, ?Perfect Equilibrium in a Bargaining Model?, Econometrica 50, 97-109. · Zbl 0474.90092 · doi:10.2307/1912531
[12] Schelling, T. C.: 1960, The Strategy of Conflict, Harvard University Press, Cambridge. · Zbl 0089.37801
[13] Selten, R.: 1975, ?Reexamination of the Perfectness Concept for Equilibrium Points in Extensive Games?, International Journal of Game Theory 4, 25-55. · Zbl 0312.90072 · doi:10.1007/BF01766400
[14] Stahl, I.: 1972, Bargaining Theory, Stockholm School of Economics, Stockholm.
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