Existence and efficiency of equilibrium in infinite economies with finite aggregate wealth

Summary. We prove the existence and efficiency of equilibrium in economies with infinitely many consumers in which there are finitely many agents who own a positive portion of the aggregate endowment. We prove existence for commodity spaces which are employed in the general equilibrium asset pricing models and use incomplete and intransitive preferences. We discuss the importance of existence of finitely many agents who own a positive portion of the aggregate endowment in obtaining efficient equilibrium. For general equilibrium asset pricing applications we require forward properness only at individually rational Pareto optimal allocations. We provide an Arrow-Debreu model for these economies. We also give an application of our approach and results by employing Stochastic Differential Utility as the utility of each consumer in an infinite horizon model.     

A Comparison of Multiple‐Unit All‐Pay and Winner‐Pay Auctions Under Incomplete Information*

This article examines the properties of independent‐private‐value all‐pay and winner‐pay auctions when there are multiple units sold. We study bidding behavior, efficiency, and revenue in a set of 23 experimental sessions. Our data show that the all‐pay auction and the winner‐pay auction are empirically revenue equivalent, though both yield higher revenue than the risk neutral Bayesian equilibrium. Our evidence also suggests that the winner‐pay auction is more likely to lead to a Pareto‐efficient allocation than the all‐pay auction.     

The symmetric multiple prize all-pay auction with complete information

This paper extends the analysis of the n-player all-pay auction with complete information to cover the case of m≤n prizes, valued in weakly decreasing order, but symmetrically across players. We provide a complete characterization of the Nash equilibrium distributions for this class of auctions and provide an exact expression for the expected revenue generated.