We consider parametric examples of two-bidder private value auctions in which each bidder observes her own private valuation as well as noisy signals about her opponent’s private valuation. In such multidimensional private value auction environments, we show that the revenue equivalence...

In this paper we consider equilibrium behavior in a Dutch (descending price) auction when the bidders are uninformed of their valuations with probability q and can acquire information about their valuation with a positive cost during the auction. We assume that the information acquisition...

We study mechanism design problems in quasi-linear environments where the envelope theorem and revenue equivalence principle fail due to non-convex and non-differentiable valuations. We obtain a characterization of incentive compatibility based on the Mirrlees representation of the indirect...

Auctioneers who have an indivisible object for sale and believe that bidders are risk neutral can find the recipe for an optimal auction in Myerson (1981); auctioneers who believe that bidders are loss averse can find it here: An optimal auction is an all pay auction with minimum bid, and any...

A necessary and sufficient condition for dominant strategy implementability when preferences are quasilinear is that, for any individual i and any choice of the types of the other individuals, all k-cycles in i's allocation graph have nonnegative length for every integer k � 2. Saks and Yu...

We characterize the boundaries of the set of transfers (extremal transfers) implementing a given allocation rule without imposing any assumptions on the agentʼs type space or utility function besides quasi-linearity. Exploiting the concept of extremal transfers allows us to obtain an exact...

This paper studies the allocation and rent distribution between buyers and the seller in multiple units sealed-bid auctions. We restrict attention to the complete information case. A simple diagrammatic exposition of equilibria in the first-price and uniform-price auctions is provided and their...

We study private-value auctions with a large number of bidders. We calculate approximations of the equilibrium bids and the seller's revenue in first-price auctions regardless of whether the bidders are symmetric or asymmetric, or risk-neutral or risk-averse. Furthermore, we show that...

Abstract: This paper presents the outcome of a dynamic price-descending auction when the distribution of the private values is uncertain and bidders exhibit ambiguity aversion. In contrast to sealed-bid auctions, in open auctions the bidders get information about the other bidders' private...