This paper provides sufficient conditions to ensure nonemptiness of approximate cores of many-player games and symmetry of approximate core payoffs (the equal treatment property). The conditions are: (a) essential superadditivity -- an option open to a group of players is to partition into...

Suppose that the agents of a matching market contact each other randomly and form new pairs if is in their interest. Does such a process always converge to a stable matching if one exists? If so, how quickly? Are some stable matchings more likely to be obtained by this process than others? In...

We consider an exchange economy in which there are infinitely many consumers and some commodities are bads, that is, cause disutility to consumers. We give an example of such an economy for which there is no competitive equilibrium or its variants (quasi- or psuedo-equilibrium). We also give...

In production economies, the extent to which non-equilibria are blocked depends on specific rules that allocate authority among shareholders, because a blocking coalition's resources are affected by the firms it jointly owns with outsiders. Based on a notion of stochastic blocking, we extend...

We introduce the concept of a parameterized collection of games with limited side payments, ruling out large transfers of utility. Under the assumption that the payoff set of the grand coalition is convex, we show that a game with limited side payments has a nonempty E-core. Our main result is...

A problematic issue in economic theory is the study of price determination. Two distinct approaches to this difficult topic have been taken: (i) in Bertrand competition it is assumed sellers enter the market with a commitment to supply all demand forthcoming from buyers (ii) in Edgeworth...

The equivalence of markets and games concerns the relationship between two sorts of structures that appear fundamentally different -- markets and games. Shapley and Shubik (1969) demonstrates that: (1) games derived from markets with concave utility functions generate totally balanced games...