Rachmilevitch, Shiran Nash bargaining with (almost) no rationality. (English) Zbl 1331.91025 Math. Soc. Sci. 76, 107-109 (2015). Summary: I axiomatize the \(n\)-person asymmetric Nash bargaining solution on the basis of independence of irrelevant alternatives, independence of equivalent utility representations, feasible set continuity, and conflict-freeness – the requirement that the solution selects the ideal point whenever it is feasible to do so. Cited in 2 Documents MSC: 91A12 Cooperative games 91A06 \(n\)-person games, \(n>2\) PDF BibTeX XML Cite \textit{S. Rachmilevitch}, Math. Soc. Sci. 76, 107--109 (2015; Zbl 1331.91025) Full Text: DOI OpenURL References: [1] Anbarci, N.; Sun, C.-J., Weakest collective rationality and the Nash bargaining solution, Soc. Choice Welf., 37, 425-429, (2011) · Zbl 1235.91070 [2] Bertsimas, D.; Vivek, F. F.; Trichakis, N., On the efficiency-fairness trade-off, Manag. Sci., 58, 2234-2250, (2012) [3] de Koster, R.; Peters, H. J.M.; Tijs, H. S.; Wakker, P., Risk sensitivity, independence of irrelevant alternatives and continuity of bargaining solutions, Math. Social Sci., 4, 295-300, (1983) · Zbl 0513.90096 [4] Haake, C.-J., Qin, C.-Z., 2013. A unification of solutions to the bargaining problem, working paper. [5] Kalai, E., Nonsymmetric Nash solutions and replications of 2-person bargaining, Internat. J. Game Theory, 3, 129-133, (1977) · Zbl 0371.90134 [6] Kalai, E.; Smorodinsky, M., Other solutions to nash’s bargaining problem, Econometrica, 43, 513-518, (1975) · Zbl 0308.90053 [7] Lensberg, T., Stability and the Nash solution, J. Econom. Theory, 45, 330-341, (1988) · Zbl 0657.90106 [8] Lensberg, T.; Thomson, W., Characterizing the Nash bargaining solution without Pareto-optimality, Soc. Choice Welf., 5, 247-259, (1988) · Zbl 0666.90096 [9] Nash, J. F., The bargaining problem, Econometrica, 18, 155-162, (1950) · Zbl 1202.91122 [10] Rachmilevitch, S., A characterization of the asymmetric Nash solution, Rev. Econ. Des, (2014), forthcoming [11] Roth, A. E., Individual rationality and nash’s solution to the bargaining problem, Math. Oper. Res., 2, 64-65, (1977) · Zbl 0413.90089 [12] Roth, A. E., (Axiomatic Models of Bargaining, Lecture Notes in Economics and Mathematical Systems, vol. #170, (1979), Springer Verlag) · Zbl 0408.90087 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.