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The Extension Of Dutta–Ray'S Solution To Convex Ntu Games

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    (St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, Tchaikovsky St. 1, 191187 St. Petersburg, Russia)

The egalitarian solution for the class of convex TU games was defined by Dutta and Ray [1989] and axiomatized by Dutta 1990. An extension of this solution — the egalitarian split-off set (ESOS) — to the class of non-levelled NTU games is proposed. On the class of TU games it coincides with the egalitarian split-off set [Branzei et al. 2006]. The proposed extension is axiomatized as the maximal (w.r.t. inclusion) solution satisfying consistency à la Hart–Mas-Colell and agreeing with the solution of constrained egalitarianism for arbitrary two-person games. For ordinal convex NTU games the ESOS turns out to be single-valued and contained in the core. The totally cardinal convexity property of NTU games is defined. For the class of ordinal and total cardinal convex NTU games an axiomatic characterization of the Dutta–Ray solution with the help of Peleg consistency is given.

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Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 12 (2010)
Issue (Month): 04 ()
Pages: 339-361

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Handle: RePEc:wsi:igtrxx:v:12:y:2010:i:04:p:339-361
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