We study aggregative games in which players’ strategy sets areconvex intervals of the real line and (not necessarily differentiable)payoffs depend only on a player’s own strategy and the sum of allplayers’ strategies. We give sufficient conditions on each player’s payofffunction to...

Noncooperative games in which each player’s payo¤ function depends on anadditively separable function of every player’s choice variable may be transformedinto an aggregative game, which may be analysed using the conceptof ‘share functions’. The resulting approach avoids the...

In this paper we examine how the addition of imperfect recall as a perturbation to aperfect recall game can be used as an equilibrium refinement. We discuss the propertiesof two such concepts, from the addition of complete confusion between similarhistories to considering small ‘trembles’ in...