Applying Weglorz' models of set theory without the axiom of choice, we investigate Arrow-type social welfare functions for infinite societies with restricted coalition algebras. We show that there is a reasonable, nondictatorial social welfare function satisfying "finite discrimination", if and...

Economic theory predicts that in a first-price auction with equal and observable valuations, bidders earn zero profits. Theory also predicts that if valuations are not common knowledge, then since it is weakly dominated to bid your valuation, bidders will bid less and earn positive profits....

This paper studies a model of public policy with heterogenous citizens/voters and two public goods: one (roads) is chosen directly by an elected policymaker, and the other (pollution) depends stochastically on the amount of roads. Both a one-country and a two-country version of the model are...

I study Cournot competition under incomplete information about demand while assuming that market price must be non-negative for all demand realizations. Although this assumption is very natural, it has only rarely been made in the earlier literature. Yet it has important economic consequences:...

In a Bayesian game players play an unknown game. Before the game starts some players may receive a signal regarding the specific game actually played. Typically, information structures that determine different signals, induce different equilibrium payoffs.In zero-sum games the equilibrium payoff...

Upon observing a signal, a Bayesian decision maker updates her probability distribution over the state space, chooses an action, and receives a payoff that depends on the state and the action taken. An information structure determines the set of possible signals and the probability of each...

Two players play an unknown zero-sum repeated game. Before the game starts one player may receive signals, whose nature is specified by an information structure, regarding the game actually played. We characterize when one information structure is better for the maximizer than another. We also...