Diego Moreno () (Departmento de Economia, Universidad Carlos III de Madrid, E-28903 Getafe, Spain) Benyamin Shitovitz () (Department of Economics, University of Haifa, Mount Carmel, Haifa 31905, Israel) Ezra Einy () (Department of Economics, Ben-Gurion University of the Negev, Beer Sheva 84105, Israel)
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We study the core of a non-atomic game v which is uniformly continuous with respect to the DNA-topology and continuous at the grand coalition. Such a game has a unique DNA-continuous extension ${\overline {v}}$ on the space B1 of ideal sets. We show that if the extension ${\overline {v}}$ is concave then the core of the game v is non-empty iff ${\overline {v}}$ is homogeneous of degree one along the diagonal of B1. We use this result to obtain representation theorems for the core of a non-atomic game of the form v=fˆ µ where µ is a finite dimensional vector of measures and f is a concave function. We also apply our results to some non-atomic games which occur in economic applications.
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Massimiliano Amarante & F. Maccheroni & M. Marinacci & L. Montrucchio, 2005.
"Cores of non-atomic market games,"
Discussion Papers
0506-10, Columbia University, Department of Economics.
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