Abstract
Aumann and Maschler [3] originally introduced the concept of the bargaining set. The bargaining set differs from the core in that it takes account of the reaction of others when a coalition engages on an improving move as an objection to a proposed allocation. Mas-Colell [9] proposed a redefinition of the original concept so that it does not depend upon distinguished individual agents and becomes well defined in continuum economies.
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References
R.M. Anderson and Trockel W., Convergence of the Bargaining Set, Working Paper, Department of Economics and Department of Mathematics, University of California, Berkeley, 1993.
R. Aumann, Markets with a continuum of traders, Econometrics 32 (1964), 39–50.
R. Aumann and Maschler M., The bargaining set for cooperative games, in Advances in Game Theory, (M. Dresher, L.S. Shapley and A.W. Tucker, Eds.), 443–447, Princeton Univ. Press, Princeton, 1964.
B. Dutta, Ray D., Sengupta K. and Vohra R., Aconsistent bargaining set, J. Econ. Theory 49 (1989), 93–112.
J. Geanakoplos, The Bargaining Set and Nonstandard Analysis, Chapter 3 of Ph.D. Dissertation, Harvard Univ., Cambridge, 1978.
B. Grodal, Bargaining Sets and Walrasian Allocations for Atomless Economies with Incomplete Preferences MSRI, Berkeley, 1986.
W. Hildenbrand Core and Equilibria of a Large Economy Princeton Univ. Press, Princeton, 1974.
M.A. Khan and Yamazaki A., On the cores of economies with indivisible commodities and a continuum of traders, J. Econ. Theory 24 (1981), 218–225.
A. Mas-Colell,An equivalence theorem for a bargaining set, J. Math. Econ. 18 (1989), 129–139.
Y. Nomura,Elementary Equivalence Theorems for Bargaining Sets with Infinitely Many Commodities, Working Paper, Chiba University, Chiba, 1993.
B. Shitovitz,The bargaining set and the core in mixed markets with atoms and an atomless sector, J. Math. Econ. 18 (1989), 377–383.
K. Vind,Two characterizations of bargaining sets, J. Math. Econ. 21 (1992), 89–97.
R. Vohra, An existence theorem for a bargaining set, J. Math. Econ 20 (1991), 19–34.
A. Yamazaki, Diversified consumption characteristics and conditionally dispersed endowment distribution: Regularizaing effect and existence of equilibria, Econometrica 49 (1981), 639–654.
A. Yamazaki, Bargaining Sets and Equilibria without Perfect Divisibility of Commodities,RUEE Working Paper, Department of Economics, Hitotsubashi University, Kunitachi, Tokyo,1993.
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Yamazaki, A. (1995). Bargaining Sets in Continuum Economies. In: Maruyama, T., Takahashi, W. (eds) Nonlinear and Convex Analysis in Economic Theory. Lecture Notes in Economics and Mathematical Systems, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48719-4_24
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DOI: https://doi.org/10.1007/978-3-642-48719-4_24
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