"Monotone Games"
 

Abstract: A monotone game consists of the infinitely repeated play of an n-person stage game, subject to the constraint that players' actions be monotonically non-decreasing over time. These games represent a variety of strategic situations in which players are able to make (partial) commitments. If the stage games have positive spillovers and satisfy certain other conditions, the limit points of the subgame perfect equilibria are precisely the approachable action profiles. This characterization is applied to voluntary contribution games, coordination games, and models of exchange.