We offer an equilibrium characterization of a general class of global games with strategic complementarities. The analysis highlights a form of acyclicity in the interim belief structure of global games, which allows us to formalize a selection criterion, iterated generalized half-dominance. This criterion is shown to be a unique global game selection when noise distributions satisfy a regulari...

Games with Finite Resources as defined by Gale (1957) are two-person zerosum N -stage games in which each player has N resources and may use each resource once and only once in the N stages. Gale’s theorem on these games is generalized in several directions. First the payoff is allowed to be any symmetric function of the stage payoffs. Second, the players are allowed some latitude in choosing w...

Using coalgebraic methods, we extend Conway’s original theory of games to include infinite games (hypergames). We take the view that a play which goes on forever is a draw, and hence rather than focussing on winning strategies, we focus on non-losing strategies. Infinite games are a fruitful metaphor for non-terminating processes, Conway’s sum of games being similar to shuffling. Hypergames hav...

We study discrete preference games that have been used to model issues such as the formation of opinions or the adoption of innovations in the context of a social network. In these games, the payoff of each agent depends on the agreement of her strategy to her internal belief and on its coordination with the strategies of her neighbors in the social network. Recent papers have obtained bounds o...