Abstract
In Borm, Keiding, McLean, Oortwijn and Tijs (1992) the compromise value is introduced as a solution concept on the class of compromise admissible NTU-games. Two characterizations of the compromise value are provided on subclasses of NTU-games.
This note shows that in one of these characterizations the axioms are dependent. As a result of this observation a new characterization of the compromise value is provided. Moreover, it turns out that with a small weakening of the symmetry property the axioms in the original characterization become independent.
Further, it is shown that these characterizations can be extended to a larger class of NTU-games. Finally, all monotonic, Pareto optimal, and covariant values on this class of NTU-games are described.
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References
Aumann RJ (1985) An axiomatization of the non-transferable utility value. Econometrica 53: 599–612
Borm P, Keiding H, McLean RP, Oortwijn S, Tijs SH (1992) The compromise value for NTU-games. International Journal of Game Theory 21: 175–189
Kalai E, Smorodinsky M (1975) Other solutions to Nash's bargaining problem. Econometrica 43: 513–518
Otten GJM, Borm PEM, Peleg B, Tijs SH (1994) The MC-value for monotonic NTU-games. Discussion Paper 9436, CentER for Economic Research, Tilburg University, Tilburg, The Netherlands
Peters H, Tijs SH (1984) Individually monotonic bargaining solutions forn-person bargaining games. Methods of Operations Reserach 51: 377–384
Raiffa H (1953) Arbitration schemes for generalized two-person games. Annals of Mathematics Studies 28: 361–387
Thomson W (1980) Two characterizations of the Raiffa solution. Economics Letters 6: 225–231
Tijs SH (1981) Bounds for the core and the τ-value. In: Game Theory and Mathematical Economics. Moeschlin O, Pallaschke D (Eds) North-Holland Publishing Company, Amsterdam, The Netherlands 123–132
Tijs SH (1987) An axiomatization of the τ-value. Mathematical Social Sciences 13: 177–181
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Otten, G.J., Borm, P. & Tijs, S. A note on the characterizations of the compromise value. Int J Game Theory 25, 427–435 (1996). https://doi.org/10.1007/BF01803949
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DOI: https://doi.org/10.1007/BF01803949