We set out a model of production and appropriation involving many players, who differ with respect to both resource endowments and productivities. We write down the model in a novel way that permits our analysis to avoid the proliferation of dimensions associated with the best response function...

A game is fully aggregative if payoffs and marginal payoffs depend only on a player's own strategy and a function of the strategy profile which is common to all players. We characterize the form which this function must take in such a game and show that the game will be strategically equivalent...