A new method is proposed for the analysis of first price and all pay auctions, where bidding functions are written not as functions of values but as functions of the rank or quantile of the bidder’s value in the distribution from which it was drawn. This method gives new results in both...

We extend Milgrom and Weber’s affiliated valuations model to the multi-unit case with constant marginal valuations where 2 bidders compete for k identical objects. We show that the discriminatory auction has a unique equilibrium, that corresponds to Milgrom and Weber’s firstprice...

This paper analyses comparative statics for two classes of n-player games of incomplete information with continuous action spaces. The two classes are defined by differences in the payoff and behaviour of the weakest type: the lowest value bidder or highest cost firm. We show that in ``weakly...

Monotone ratio orderings are refinements of first order stochastic dominance that allow monotone comparative statics results in games of incomplete information. We develop analogous refinements for second order stochastic dominance based on the monotonicity of the cumulative probability ratio...

In a market in which sellers compete by posting mechanisms, we study how the properties of the meeting technology affect the mechanism that sellers select. In general, sellers have incentive to use mechanisms that are socially efficient. In our environment, sellers achieve this by posting an...

In many markets, sellers advertise their good with an asking price. This is a price at which the seller will take his good off the market and trade immediately, though it is understood that a buyer can submit an offer below the asking price and that this offer may be accepted if the seller...

We present a multi-unit common value auction model with capacity constraints which ensure the participants face a residual market. We show that a discriminatory auction performs better than a uniform one when such constraints are present. We then look at a more explicit model of electricity...

This paper investigates fund-raising mechanisms based on a prize as a way to overcome free riding in the private provision of public goods, under the assumptions of income heterogeneity and incomplete information about income levels. We compare experimentally the performance of a lottery, an...

We present a 2 bidder multi-unit, common cost auction model with uncertain demand and capacity constraints which ensure that the participants sometimes face a residual market share. The model is motivated by electricity pools. We show that a single-price auction where the bidders can submit only...

This paper investigates social infuences on attitudes to risk and offers an evolutionary explanation of risk-taking by young low-ranked males. Becker, Murphy and Werning (2005) found that individuals about to participate in a status tournament may take fair gambles even though they are risk...