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On the non-emptiness of the Mas-Colell bargaining set
Authors:Bezalel Peleg  Peter Sudhlter
Institution:aInstitute of Mathematics and Center for the Study of Rationality, The Hebrew University of Jerusalem, Feldman Building, Givat Ram, 91904 Jerusalem, Israel;bDepartment of Economics, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
Abstract:We introduce an extension of the Mas-Colell bargaining set and construct, by an elaboration on a voting paradox, a superadditive four-person non-transferable utility game whose extended bargaining set is empty. It is shown that this extension constitutes an upper hemicontinuous correspondence. We conclude that the Mas-Colell bargaining set of a non-levelled superadditive NTU game may be empty.
Keywords:NTU games  Mas-Colell bargaining set
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