A Characterization of the Core of Convex Games Through Gateaux Derivatives (2002)
by
Massimo Marinacci
,
Luigi Montrucchio
| Citations: | 4 - 4 self |
BibTeX
@MISC{Marinacci02acharacterization,
author = {Massimo Marinacci and Luigi Montrucchio},
title = {A Characterization of the Core of Convex Games Through Gateaux Derivatives},
year = {2002}
}
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Abstract
We establish a calculus characterization of the core of supermodular games, which reduces the description of the core to the computation of suitable Gateaux derivatives of the Choquet integrals associated with the game. Our result generalizes to infinite games a classic result of Shapley (1971). As a secondary contribution, we provide a fairly complete analysis of the Gateaux and Frechet differentiability of the Choquet integrals of supermodular measure games.
