RT Journal Article
T1 The core of a class of non-atomic games which arise in economic applications
A1 Einy, Ezra
A1 Moreno, Diego
A1 Shitovitz, Benyamin
AB 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 on the space B 1 of ideal sets. We show that if the extension is concave then the core of the game v is non-empty iff is homogeneous of degree one along the diagonal of B 1. We use this result to obtain representation theorems for the core of a non-atomic game of the form v=f 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.
PB Springer
SN 1432-1270 (Online)
YR 1999
FD 1999-02
LK https://hdl.handle.net/10016/4221
UL https://hdl.handle.net/10016/4221
LA eng
DS e-Archivo
RD 19 may. 2024