×

Bargaining in cooperative games. (English) Zbl 0661.90107

This paper introduces a new solution concept for cooperative games without sidepayments, called the aspiration bargaining set, and proves that this set is nonempty for a wide, and economically interesting, class of games.
Reviewer: E.Bennett

MSC:

91A12 Cooperative games
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Albers W (1974) Zwei Lösungskonzepte für kooperative Mehrpersonspiele, die auf Anspruchsniveaus der Spieler basieren. OR-Verfahren (Meth Oper Res) 21:1-13
[2] Asscher N (1976) An ordinal bargaining set for games without sidepayments. Mathematics of Operations Research 1:381-389 · Zbl 0382.90107 · doi:10.1287/moor.1.4.381
[3] Asscher N (1977) A cardinal bargaining set for games without sidepayments. International Journal of Game Theory 6:87-114 · Zbl 0378.90102 · doi:10.1007/BF01763345
[4] Aumann R, Maschler M (1964) The bargaining set for cooperative games. In: Dresher M, Shapley L, Tucker AW (eds) Advances in Game Theory (Annals of Math Studies 52). Princeton University Press, Princeton, pp 443-476 · Zbl 0132.14003
[5] Bennett E (1983) The aspiration approach to predicting coalition formation and payoff distribution in sidepayment games. International Journal of Game Theory 12:1-28 · Zbl 0504.90093 · doi:10.1007/BF01756101
[6] Bennett E (1984) A new approach to predicting coalition formation and payoff distribution in characteristic function games. In: Holler M (ed) Coalitions and collective actions. Physica-Verlag, Würzburg · Zbl 0579.90103
[7] Bennett E (1985) Multilateral bargaining problems. University of Kansas, Department of Economics working paper · Zbl 0882.90138
[8] Bennett E (1986) Endogenous coalition formation. University of Kansas, Department of Economics working paper
[9] Bennett E (1988) Consistent bargaining conjectures in marriage and matching. Journal of Economic Theory 45:392-407 · Zbl 0653.90099 · doi:10.1016/0022-0531(88)90277-3
[10] Harsanyi JC (1963) A simplified bargaining model for then-person cooperative game. International Economic Review 41:194-220 · Zbl 0118.15103 · doi:10.2307/2525487
[11] Harsanyi JC (1977) Rational behavior and bargaining equilibrium in games and social situations. Cambridge University Press, Cambridge · Zbl 0395.90087
[12] Hart S (1985) Non-transferable utility games and markets: some examples and the Harsanyi solution. Econometrica 53:1445-1450 · Zbl 0588.90101 · doi:10.2307/1913218
[13] Roth AE (1980) Values for games without sidepayments: some difficulties with current concepts. Econometrica 48:457-465 · Zbl 0436.90115 · doi:10.2307/1911108
[14] Shafer WJ (1980) On the existence and interpretation of value allocations. Econometrica 48:467-476 · Zbl 0436.90016 · doi:10.2307/1911109
[15] Shapley LS (1969) Utility comparison and the theory of games. In: La decision: aggregation et dynamique des ordres de preference. Edition s du Centre National de la Recherche Scientifique, Paris, pp 251-263
[16] Shapley LS, Shubik M (1972) The assignment game I: the core. International Journal of Game Theory 1:111-130 · Zbl 0236.90078 · doi:10.1007/BF01753437
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.