Owners of stochastic assets can pool their endowments to smoothen and insure individual payoffs across outcomes and time. We explore, in such a setting, how contingent shadow prices on aggregate resources can be used for three purposes: first, to design mutual contracts for risk averse agents;...

So-called potential functions are important, prominent, and common to many diverses fields, including optimization, dynamic processes, and physics. Monderer and Shapley have recently added a class of noncooperative games to that list. We extend their notion and consider repeated play of games...