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...

A principal delegates a decision to an agent, who has the capacity to process the relevant information. The principal can jointly control the actions and the information available to the agent. I provide sufficient conditions under which the optimal mechanism (i) attains a perfect alignment of...

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...

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...

A finite number of sellers (n) compete in schedules to supply an elastic demand. The costs of the sellers have uncertain common and private value components and there is no exogenous noise in the system. A Bayesian supply function equilibrium is characterized; the equilibrium is privately...

We consider a variant of the Tullock rent-seeking contest. Under symmetric information we determine equilibrium strategies and prove their uniqueness. Then, we assume contestants to be privately informed about their costs of effort. We prove existence of a pure-strategy equilibrium and provide a...

This paper analyzes an all-pay auction where the winner is determined according to the sum of the bid and a handicap endowed to all players. The bidding strategy in equilibrium is then explicitly derived as a “piecewise affine transformation” of the equilibrium strategy in an all-pay auction...

A model is presented of a uniform price auction where bidders compete in demand schedules; the model allows for common and private values in the absence of exogenous noise. It is shown how private information yields more market power than the levels seen with full information. Results obtained...