EFFECTIVE PERSUASION

Do elementary statistics or equilibrium theory deliver any insight regarding how we should argue in debates? We provide an answer in a model in which each discussant wants to convince the audience that a specific state holds. If the discussants' payoffs in the audience's posterior are concave above and convex below the prior and exhibit loss aversion, then the leading discussant should give precedence to the weaker argument, and the follower should respond to a weak argument weakly and to a strong argument strongly. Such characterizations are also obtained for the case of choosing between independent and correlated arguments.     

Pure strategy equilibria of single and double auctions with interdependent values

We prove the existence of monotonic pure strategy equilibrium for many kinds of asymmetric auctions with n bidders and unitary demands, interdependent values and independent types. The assumptions require monotonicity only in the own bidder's type. The payments can be a function of all bids. Thus, we provide a new equilibrium existence result for asymmetrical double auctions and a small number of bidders. The generality of our setting requires the use of special tie-breaking rules. We present an example of a double auction with interdependent values where all equilibria are trivial, that is, they have zero probability of trade. This is related to Akerlof's “market for lemmons” example and to the “winner's curse,” establishing a connection between them. However, we are able to provide sufficient conditions for non-trivial equilibrium existence.     

Multidimensional private value auctions

We consider parametric examples of symmetric 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. We show that, in such environments, the revenue equivalence between the first and second price auctions (SPAs) breaks down and there is no definite revenue ranking; while the SPA is always efficient allocatively, the first price auction (FPA) may be inefficient; equilibria may fail to exist for the FPA. We also show that auction mechanisms provide different incentives for bidders to acquire costly information about opponents’ valuation.     

License prices for financially constrained firms

It is often alleged that high auction prices inhibit service deployment. We investigate this claim under the extreme case of financially constrained bidders. If demand is just slightly elastic, auctions maximize consumer surplus if consumer surplus is a convex function of quantity (a common assumption), or if consumer surplus is concave and the proportion of expenditure spent on deployment is greater than one over the elasticity of demand. The latter condition appears to be true for most of the large telecom auctions in the US and Europe. Thus, even if high auction prices inhibit service deployment, auctions appear to be optimal from the consumers’ point of view.      

Equivalence of the weak and strong axioms of revealed preference without demand continuity assumptions: A “regularity condition” approach

The main result of this paper is that, provided the range of the demand function is convex and the whole budget is spent, the strong axiom of revealed preference holds if and only if the weak axiom of revealed preference and a certain “regularity” condition both hold. The regularity condition is a relationship between two definitions of expenditure compensation function that must hold if the strong axiom holds. The paper distinguishes itself from previous work in that no continuity assumptions are made on the demand function. It also discusses the relationship of the regularity condition used in this paper to the one used by Uzawa and van Moeseke.     

Credibility and determinism in a game of persuasion

This paper studies a game of persuasion. A speaker attempts to persuade a listener to take an action by presenting evidence. Glazer and Rubinstein (2006) showed that when the listener's decision is binary, neither randomization nor commitment have any value for the listener, and commented that the binary nature of the decision was important for the commitment result. In this paper, I show that concavity is the critical assumption for both results: no value to commitment and no value to randomization. Specifically, the key assumption is that the listener's utility function is a concave transformation of the speaker's utility function. This assumption holds vacuously in the binary model. The result that concavity implies credibility allows us to dispense with the assumption that the listener's decision is binary and significantly broadens the scope of the model.     

Multiple unit auctions with strategic price-quantity decisions

Summary. I study a multiple unit auction where symmetric risk-neutral bidders choose prices and quantities endogenously. In the model, bidders (a) may place non-linear valuations on the auctioned units, and (b) bid for several units at the same price (“lumpy” bids). I characterize quantity-symmetric and strictly monotone-increasing price equilibria for discriminatory and competitive auctions, and show that (i) if quantity strategy profiles are equal across auctions revenue- equivalence holds, (ii) expected revenue is higher if bidders bid for the entire supply rather than for shares of it, and (iii) equilibrium allocations may fail to be Pareto-optimal. Received: April 14, 1995; revised version: September 3, 1997     

The effect on optimal consumption of increased uncertainty in labor income in the multiperiod case

We consider a multiperiod, additive utility, optimal consumption model with a riskless investment and a stochastic labor income. The main result is that for utility functions belonging to the set F, consumption decreases when we go from any sequence of distribution functions representing labor income to a more risky sequence. A concave utility function belongs to F if its first derivative exists everywhere and is convex.     

Taxation and Tournaments

This paper analyzes the effects of progressive taxes on labor supply and income distribution in the context of the rank‐order tournament model originally developed by Lazear and Rosen (1981). We show conditions under which a more progressive tax schedule will cause so large general equilibrium effects that the inequality in disposable income will actually increase. We also show that a non‐zero redistributive tax is always optimal if society's welfare function displays inequality aversion; this result always holds, regardless of behavioral responses and general equilibrium effects.     

Commitment in sequential auctioning: advance listings and threshold prices

This paper models sequential auctioning of two perfect substitutes by a strategic seller, who learns about demand from the first-auction price. The seller holds the second auction only when the remaining demand is strong enough to cover her opportunity cost. Bidding in anticipation of such a contingent future auction is characterized, including a sufficient condition for existence of an invertible (increasing symmetric pure-strategy) bidding equilibrium that facilitates the seller’s learning. A unique invertible bidding equilibrium exists for the Dutch auction format, but only when the second auction is sufficiently discounted by the bidders. In the equilibrium, high-valuation bidders shade their bids down as if the second auction were guaranteed. To counter such strategic bidding, the seller would value ex-ante commitment to hold the second auction less often. Three forms of such commitment are analyzed: commitment to list future auctions in advance, commitment to not hold the second auction unless the first price exceeds a publicly announced threshold, and commitment to a reserve-price in the second auction. I would like to thank Georgios Katsenos, Thomas Jeitschko, Miguel Villas-Boas, George Deltas, and an anonymous referee for thorough and insightful feedback.     

Conjectural Variations, Market Power, and Optimal Trade Policy in a Vertically Related Industry

The paper introduces the conjectural variations and bargaining approaches into a vertical model wherein a foreign upstream firm supplies one input to two downstream firms that produce differentiated products for the export market. Various downstream firms’ competition modes and upstream's pricing schemes emerge as special cases of this formulation. The authors show that the optimal export policy of a downstream country depends crucially on the downstream firms’ conjectures of rivals’ responses, the upstream firm's pricing schemes, their relative bargaining powers, and the degree of product differentiation. If the upstream's pricing or bargaining power is strong (weak) and if the downstream's degree of competition is high (low), a tax (subsidy) is optimal owing to a strong (weak) vertical profit‐shifting effect and a weak (strong) horizontal effect.     

On bidding with securities: Risk aversion and positive dependence

DeMarzo et al. (2005) consider auctions in which bids are selected from a completely ordered family of securities whose values are tied to the resource being auctioned. The paper defines a notion of relative steepness of families of securities and shows that a steeper family provides greater expected revenue to the seller. Two assumptions are: the buyers are risk neutral; the random variables through which values and signals of the buyers are realized are affiliated. We show that this revenue ranking holds for the second price auction in the case of risk aversion. However, it does not hold if affiliation is relaxed to a less restrictive form of positive dependence, namely first order stochastic dominance (FOSD). We define the relative strong steepness of families of securities and show that it provides a necessary and sufficient condition for comparing two families in the FOSD case. All results extend to the English auction.     

Do preferences for charitable giving help auctioneers?

Preferences for charitable giving in auctions can be modeled by assuming that bidders receive additional utility proportional to the revenue raised by an auctioneer. The theory of bidding in the presence of such preferences results in a very counterintuitive prediction which is that, in many cases, bidders having preferences for charitable giving does not lead to a substantial revenue advantage for an auctioneer. We test this theory and this prediction with a series of experiments. In one experiment we induce charitable preferences exactly as specified in the model to see if bidders respond to them as predicted. We find that they do. We then conduct a second experiment in which the revenue from the auctions is donated to actual charities to verify the robustness of the prediction when charitable preferences are generated by a more natural source and find again that the theoretical prediction holds: even strong charitable preferences do not result in substantial revenue increases to the auctioneer.     

Asymmetric Regulation of Access and Price Discrimination in Telecommunications*

Suppose that a strong and a weak operator compete in a telecommunications market. To terminate a call operators need access to the competitor’s network if the call is off-net. Operators set two-part tariffs and price-discriminate according to termination of a call. Suppose as a benchmark that access prices are regulated at costs. I show that the weak operator’s profit and consumer welfare increase if the regulator sets a higher price to access the weak operator’s network. However, total surplus decreases even locally. *I received helpful comments from Mark Armstrong, Toker Doganoglu, Tommaso Valletti, Julian Wright, and, in particular, two referees and the editor Michael Crew. I gratefully acknowledge financial support from the Deutsche Forschungsgemeinschaft (Heisenberg Fellowship).     

Alternating-Offer Bargaining with Two-Sided Incomplete Information

I study alternating-offer bargaining games with two-sided incomplete information about the players' discount rates. For both perfect Bayesian equilibrium and a rationalizability-style notion, I characterize the set of expected payoffs which may arise in the game. I also construct bounds on agreements that may be made. The set of expected payoffs is easy to compute and incorporate into applied models. My main result is a full characterization of the set of perfect Bayesian equilibrium payoffs for games in which the distribution over the players' discount rates is of wide support, yet is in a weak sense close to a point mass distribution. I prove a lopsided convergence result: each player cannot gain from a slight chance that she is a strong type, but the player can suffer greatly if there is a slight chance that she is a weak type.     

Tax evasion and competition

Using a Cournot oligopoly model with an endogenous number of firms and evasion of indirect taxes, we show that more intense competition may have the negative side effect of increasing tax evasion, thereby, lowering public revenues and welfare. This will be the case if market entry costs decrease. A similar result will hold if marginal production costs fall and demand is either weakly concave, or convex and inelastic. The result of more competition, less evasion and higher public revenues will be obtained if (a) marginal production costs fall and demand is convex and elastic or (b) the demand elasticity increases. As a policy implication, we prove that tax enforcement should be intensified if there is a negative trade‐off between competition and evasion.     

Are bid preferences benign? The effect of small business subsidies in highway procurement auctions

Bid preferences in procurement auctions allow firms from an identifiable group an advantage in bidding against unfavored firms. While economic efficiency is expected to fall as a result of bid preferences, government procurement costs may either increase or decrease depending on the competitive response of favored and unfavored firms. This paper uses data from California auctions for road construction contracts, where small businesses receive a 5-percent bid preference in auctions for projects using only state funds and no preferential treatment on projects using federal aid. I show that while firms' bidding behavior matches theoretical predictions, procurement costs are 3.8 percent higher on auctions using preferences. The higher procurement cost in preference auctions is attributed to reduced participation by lower cost large firms.Structural estimates of latent firm costs are then used to evaluate how efficiency and the division of surplus between firms and the government are impacted by bid preferences. Firm profits are 3.1 percent lower under bid preferences, however this is overwhelmed by the efficiency loss due to reduced large firm participation. The efficiency loss conditional on firm participation is estimated to represent around 0.1 percent of overall procurement costs. Including the adverse effect of preferences on the participation of large firms increases the estimated efficiency loss to 3.6 percent, which represents 27 cents for each additional dollar awarded to small businesses through the program. Counterfactual simulations indicate that if participation were instead inelastic to bid preferences, the 5-percent bid preference would be close to the optimal level.     

On Elimination in Contests: A Perspective on Output Maximization

This paper investigates the desirability of adding a preliminary elimination stage for output maximization in a winner‐take‐all contest framework in which the contestant who achieves the highest (random) output wins. We find that, generally, the desirability of an elimination stage does not monotonically depend on the productivity of the effort; adding a preliminary stage can improve output for both concave and convex production functions. This result contrasts sharply with current insight from effort maximization, which argues that adding a preliminary stage can increase effort supply only if the production function is concave.     

Valuation structure in first-price and least-revenue auctions: an experimental investigation

In many auctions the valuation structure involves both private and common value elements. Existing experimental evidence (e.g. Goeree and Offerman in Am. Econ. Rev. 92(3):625–643, 2002) demonstrates that first-price auctions with this valuation structure tend to be inefficient, and inexperienced subjects tend to bid above the break-even bidding threshold. In this paper, we compare first-price auctions with an alternative auction mechanism: the least-revenue auction. This auction mechanism shifts the risk regarding the common value of the good to the auctioneer. Such a shift is desirable when ex post negative payoffs for the winning bidder results in unfulfilled contracts, as is often the case in infrastructure concessions contracts. We directly compare these two auction formats within two valuation structures: (1) pure common value and (2) common value with a private cost. We find that, relative to first-price auctions, bidding above the break-even bidding threshold is significantly less prevalent in least-revenue auctions regardless of valuation structure. As a result, revenue in first-price auctions is higher than in least-revenue auctions, contrary to theory. Further, when there are private and common value components, least-revenue auctions are significantly more efficient than first-price auctions.     

Bidding behavior in asymmetric auctions: An experimental study

We review an asymmetric auction experiment. Based on Plum (Int. J. Game Theory 20 (1992) 393) private valuations of the two bidders are independently drawn from distinct but commonly known distributions, one of which first-order stochastically dominates the other. We test the qualitative properties of that model of asymmetric auctions, in particular whether the weak bidder behaves more aggressively than the strong, and then test bidders’ preference for first- vs. second-price auctions.