We first show through a counter-example that the existence result of Maskin: Bargaining, coalitions and externalities, Presidential address of the Econometric Society, 2003] does not extend beyond three players.Intuitively, the bargaining may not be able to continue because there may be no...

There are two recognized classes of strategic-form symmetric games, both of which can be conveniently defined through the corresponding player symmetry groups. We investigate the basic properties of these groups and several related concepts. We generalize the notion of coveringness of...

It is impossible, in general, to extend an asymmetric two-player game to networks, because there must be two populations, the row one and the column one, but we do not know how to define inner-population interactions. This is not the case for Matching Pennies, as we can interpret the row player...

The Colonel Blotto Game is one of the most classical zero-sum games, with diverse applications in wars, auctions, political elections and anti-terrorists etc. We consider the discrete two-battlefield Colonel Blotto Game, a basic case that has not been completely characterized yet. We study three...