McAfee and Reny (1992) have given a necessary and sufficient condition for full surplus extraction in naive type spaces with a continuum of payoff types. We generalize their characterization to arbitrary abstract type spaces and to the universal type space and show that in each setting, full...

McAfee and Reny (1992) have given a necessary and sufficient condition for full surplus extraction in models with a continuum of types. We interpret their condition as significantly stronger version of the requirement of injectiveness of the function mapping abstract types into beliefs and prove...

McAfee and Reny (1992) have given a necessary and sufficient condition for full surplus extraction in naive type spaces with a continuum of payoff types. We generalize their characterization to arbitrary abstract type spaces and to the universal type space and show that in each setting, full...

Suppose that in a second-price auction, a seller wishes to set an optimal reserve price, but the information about the distribution of bidders' iid valuations is scarce: the seller knows only an upper bound for valuations, the distribution's mean, and, possibly, variance. I find reserve prices...

We analyze a divisible good uniform-price auction that features two groups each with a finite number of identical bidders. Equilibrium is unique, and the relative market power of a group increases with the precision of its private information but declines with its transaction costs. In line with...

We consider a class of incomplete-information Colonel Blotto games in which N ≥ 2 agents are engaged in (N + 1) battlefields. An agent's vector of battlefield valuations is drawn from a generalized sphere in Lp-space. We identify a Bayes-Nash equilibrium in which any agent's resource...

In this paper, we study N-player Colonel Blotto games with incomplete information about battlefield valuations. Such games arise in job markets, research and development, electoral competition, security analysis, and conflict resolution. For M ≥ N + 1 battlefields, we identify a Bayes-Nash...

We analyze a divisible good uniform‐price auction that features two groups, each with a finite number of identical bidders, who compete in demand schedules. In the linear‐quadratic‐normal framework, this paper presents conditions under which the unique equilibrium in linear demands exists...