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...

We extend the notion of an ordinally symmetric game of Osborne and Rubinstein (1994) from two to n players. We prove that each ordinally symmetric game with two strategies is an ordinal potential game and thus possesses a pure strategy Nash equilibrium, generalizing a result of Hofbauer and...

Shapley (1955) introduced the model of an abstract market game as a generalization of the assignment game model, among several other models. He conjectured that abstract market games possess non-empty cores. We analyze properties of abstract market games and provide a proof of this conjecture...

Games with strategic substitutes (GSS) are generally less tractable than games with strategic complements (GSC). This paper revisits the GSC versus GSS comparison by establishing a novel connection between them. We show through a network perspective that, when the strategy set of each player is...