In the uniform-price auction with adjustable supply, the seller decides how much to sell after receiving the bids so as to maximize its ex post profit. Given N bidders and adjustable supply, all equilibria of the uniform-price auction lead to price on order 1/N3 below the Walrasian price. By...

In many negotiations, rules are soft in the sense that the seller and/or buyers may break them at some cost. When buyers have private values, we show that the cost of such 'rule bending' is borne entirely by the seller in equilibrium. Consequently, the seller is willing to pay an intermediary to...

In this paper, we consider a seller who faces several buyers and lacks access to an institution to credibly close a sale. If buyers anticipate that the seller may negotiate further, they will prefer to wait before making their best and final offers. This in turn induces the seller to bargain at...