Optimal Auctions with Information Acquisition

This paper studies optimal auction design in a private value setting with endogenous information acquisition. First, we develop a general framework for modeling information acquisition when a seller wants to sell an object to one of several potential buyers who can each gather information about their valuations prior to participation. We then show that under certain conditions, standard auctions with a reserve price remain optimal, but the optimal reserve price lies between the mean valuation and the standard reserve price in Myerson (1981). We provide sufficient conditions under which the value of information to the seller is positive, and also characterize the necessary and sufficient conditions under which equilibrium information acquisition in private value auctions is socially excessive. The key to the analysis is the insight that buyer incentives to acquire information become stronger as the reserve price moves toward the mean valuation.optimal auctions, information acquisition, rotation order, informational efficiency

Information Externalities and Intermediaries in Frictional Search Markets

In frictional matching markets, buyers incur discrete inspection costs when assessing the suitability of goods on offer, and sellers incur discrete 'show' costs. This paper studies how intermediaries can help reduce these costs. Intermediaries, whose value derives from inventory, learning and memory, are shown to exist if goods are sufficiently heterogeneous. Intermediaries may either be firms that buy goods and hold inventory or brokers who search on behalf of their clients but do not buy or hold inventory. The parameter space, in terms of the ratio of inspection to show costs, naturally separates into two regions where firms exist versus where brokers exist.Information Externalities, Intermediaries, Search, Matching

Search Committees

A committee decides by unanimity whether to accept the current alternative, or to continue costly search. Alternatives are described by several distinct attributes. Each committee member privately assesses the quality of one attribute (her \Committee, Search, Specialization, Interdependent Values, Voting, Partisanship

Market Segmentation: The Role of Opaque Travel Agencies

This paper investigates the role of discount travel agencies such as Priceline and Hotwire in the market segmentation of the hotel and airline industries. These agencies conceal important characteristics of the offered services, such as hotel locations or flight schedules. We explicitly model this opaque feature and show that it enables service providers to price discriminate between those customers who are sensitive to service characteristics and those who are not. Service providers can profit from such discrimination despite the fact that the opaque feature virtually erases product differentiation and thus intensifies competition. The reason is that the intensified competition for less sensitive customers enables service providers to commit to a higher price for more sensitive customers, which leads to higher profits overall. This explains why airlines or hotels are willing to lose the advantage of product differentiation and offer services through discount travel agencies.market segmentation, opaque travel agency, separation equilibrium, price discrimination

Contests for Status

We study the optimal design of organizations under the assumption that agents in a contest care about their relative position. A judicious definition of status categories can be used by a principal in order to influence the agents’ performance. We first consider a pure status case where there are no tangible prizes. Our main results connect the optimal partition in status categories to various properties of the distribution of ability among contestants. The top status category always contains an unique element. For distributions of abilities that have an increasing failure rate, a proliferation of status classes is optimal, while in other cases the optimal partition involves some coarseness. Finally, we modify the model to allow for status categories that are endogenously determined by monetary prizes of different sizes. If status is solely derived from monetary rewards, we show that the optimal partition in status classes contains only two categories

Optimal Voting Rules

We study dominant strategy incentive compatible (DIC) and deterministic mechanisms in a social choice setting with several alternatives. The agents are privately informed about their preferences, and have single-crossing utility functions. Monetary transfers are not feasible. We use an equivalence between deterministic, DIC mechanisms and generalized median voter schemes to construct the constrained-efficient, optimal mechanism for an utilitarian planner. Optimal schemes for other welfare criteria such as, say, a Rawlsian maximin can be analogously obtained

Contests for Status

We study the optimal design of organizations under the assumption that agents in a contest care about their relative position. A judicious definition of status categories can be used by a principal in order to influence the agents’ performance. We first consider a pure status case where there are no tangible prizes. Our main results connect the optimal partition in status categories to various properties of the distribution of ability among contestants. The top status category always contains an unique element. For distributions of abilities that have an increasing failure rate, a proliferation of status classes is optimal, while in other cases the optimal partition involves some coarseness. Finally, we modify the model to allow for status categories that are endogenously determined by monetary prizes of different sizes. If status is solely derived from monetary rewards, we show that the optimal partition in status classes contains only two categories.

Carrots and Sticks: Prizes and Punishments in Contests

We study optimal contest design in situations where the designer can reward high performance agents with positive prizes and punish low performance agents with negative prizes. We link the optimal prize structure to the curvature of distribution of abilities in the population. In particular, we identify conditions under which, even if punishment is costly, punishing the bottom is more effective than rewarding the top in eliciting effort input . If punishment is costless, we study the optimal number of punishments in the contest.Contests, All-pay auctions, Punishments, Order Statistics

Bayesian and Dominant Strategy Implementation Revisited

We consider a standard social choice environment with linear utility and one-dimensional types. We show by counterexample that, when there are at least three physical alternatives, Bayes-Nash Incentive Compatibility (BIC) and Dominant Strategy Incentive Compatibility (DIC) need no longer be equivalent. The example with three alternatives is minimal since we do obtain a general equivalence result for settings with only two social alternatives. Our negative result does not mathematically contradict the Manelli and Vincent (2010) equivalence obtained in a one-object auction setting, but it shows that BIC-DIC equivalence is only valid in restrictive environments. Our insights are based on mathematical results about the existence of monotone measures with given monotone marginals.Bayesian Implementation, Dominant Strategy Implementation, Equivalence

Information Acquisition in Interdependent Value Auctions

We consider an auction environment with interdependent values. Each bidder can learn her payoff type through costly information acquisition. We contrast the socially optimal decision to acquire information with the equilibrium solution in which each agent has to privately bear the cost of information acquisition. In the context of the generalized Vickrey-Clarke-Groves mechanism, we establish that the equilibrium level exceeds the socially optimal level of information with positive interdependence. The individual decisions to acquire information are strategic substitutes. The difference between the equilibrium and the efficient level of information acquisition is increasing in the interdependence of the bidders' valuations and decreasing in the number of informed bidders.Vickrey-Clarke-Groves Mechanism, Information Acquisition, Strategic Substitutes, Informational Efficiency