The not-quite non-atomic game: Non-emptiness of the core in large production games |
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| Authors: | Sjur Flm Guillermo Owen Martha Saboy |
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| Institution: | aDepartment of Economics, University of Bergen, Norway;bDepartment of Mathematics, Naval Postgraduate School, Monterey, California, United States;cDpto. de Economía Cuantitativa, Facultad de Ciencias Económicas y Empresariales, Universidad Autónoma, Madrid, Spain |
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| Abstract: | We show that, in cooperative production games, when the production functions are not concave, the core may well be empty. However, as the number of players increases (subject to some regularity conditions), the relative deficit obtained by using concavified functions decreases to zero. Furthermore, differentiability of the functions will cause the absolute deficit to go to zero. |
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| Keywords: | Cooperative games Large production games Non-atomic games Core Concavified functions |
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