Hybrid allocation mechanisms for publicly provided goods

Motivated by efficiency and equity concerns, public resource managers have increasingly utilized hybrid allocation mechanisms that combine features of commonly used price (e.g., auction) and non-price (e.g., lottery) mechanisms. This study serves as an initial investigation of these hybrid mechanisms, exploring theoretically and experimentally how the opportunity to obtain a homogeneous good in a subsequent lottery affects Nash equilibrium bids in discriminative and uniform price auctions. The lottery imposes an opportunity cost to winning the auction, systematically reducing equilibrium auction bids. In contrast to the uniform price auction, equilibrium bids in the uniform price hybrid mechanism vary with bidder risk preferences. Experimental evidence suggests that the presence of the lottery and risk attitudes (elicited through a preceding experiment) impact auction bids in the directions predicted by theory. Finally, we find that theoretically and experimentally, the subsequent lottery does not compromise the efficiency of the auction component of the hybrid mechanisms.     

Charitable Lottery Structure and Fund Raising: Theory and Evidence

Do fixed-prize charitable lotteries generate more net revenue than do revenue-dependent lotteries? I present the results of an experiment designed to test a theoretical prediction of the relationship between the prize structure of a lottery funding a public good and individuals' participation in the lottery. I find that a fixed-prize lottery configuration induces significantly greater participation and a significantly higher level of public good funding than does a revenue-dependent lottery.     

Lotteries vs. All‐Pay Auctions in Fair and Biased Contests

The form of contests for a single fixed prize can be determined by a designer who maximizes the contestants' efforts. This article establishes that, under common knowledge of the two asymmetric contestants' prize valuations, a fair Tullock‐type endogenously determined lottery is always superior to an all‐pay‐auction; it yields larger expected efforts (revenues) for the contest designer. If the contest can be unfair (structural discrimination is allowed), then the designer's payoff under the optimal lottery is equal to his expected payoff under the optimal all‐pay auction.     

Explaining Overbidding in First Price Auctions Using Controlled Lotteries

In this paper, we study the behavior of individuals when facing two different, but incentive-wise identical, institutions. We pair the first price auction with an equivalent lottery. Once a subject is assigned a value for the auctioned object, the first price auction can be modeled as a lottery in which the individual faces a given probability of winning a certain payoff. This set up allows us to explore to what extent the misperception of the probability of winning in the auction is responsible for bidders in a first price auction to bidding above the risk neutral Nash equilibrium prediction. The first result we obtain is that individuals, even though facing the same choice over probability/payoff pairs, behave differently depending on the type of choice they are called to make. When facing an auction, subjects with high values tend to bid significantly above the bid they choose in the corresponding lottery environment. We further find that in both the lottery and the auction environments, subjects tend to bid in excess of the bid predicted by the risk neutral model, at least for intermediate range values. Finally, we find that the difference between the lottery behavior and the auction behavior is substantially, but not totally, eliminated by showing the subjects the probability of winning the auction.     

Lottery or waiting-line auction?

This paper studies the efficiencies of the two most widely used non-price allocation mechanisms: lotteries and waiting-line auctions. As our analysis suggests, in addition to the fairness of the mechanism, the use of lotteries in lieu of waiting-line auctions can be also justified from an efficiency point of view. In particular, we show that the less dispersed consumers’ time valuations are, the more efficient is a lottery relative to a waiting-line auction. In addition, we identify four conditions under which a lottery dominates a waiting-line auction in expected social surplus preserving. Furthermore, the numerical simulations we conduct indicate that over a predominantly wide range of circumstances, a lottery is more socially efficient than a waiting-line auction as an allocative mechanism in the absence of a conventional price system.     

Lottery versus all-pay auction contests: A revenue dominance theorem

We allow a contest organizer to bias a contest in a discriminatory way; i.e., she can favor specific contestants by designing the contest rule in order to maximize total equilibrium effort (resp. revenue). The two predominant contest regimes are considered, all-pay auctions and lottery contests. For all-pay auctions the optimal bias is derived in closed form: It implies extreme competitive pressure among active contestants and low endogenous participation rates. Moreover, the exclusion principle advanced by Baye et al. (1993) becomes obsolete in this case. In contrast, the optimally biased lottery induces a higher number of actively participating contestants due to softer competition. Our main result regarding total revenue comparison under the optimal biases reveals that the all-pay auction revenue-dominates the lottery contest for all levels of heterogeneity among contestants. The incentive effect due to a strongly discriminating contest rule (all-pay auction) dominates the participation effect due to a weakly discriminating contest rule (lottery).     

Extraction rights allocation with liquidity constraints

We study the optimal allocation of a resource in a second-best world in which parties may be liquidity-constrained due to credit frictions and capital market imperfections. In this setting, common to various natural resource industries, agents are unable to bid more than their budget regardless of their valuation. While auction markets are widely used mechanisms for allocating natural resource extraction rights and conservation contracts, we show that in these circumstances the competitive market –which allocates items based on rank order of bids– fails to achieve the first-best allocation. The market outcome is welfare-dominated by a hybrid mechanism consisting of random assignment followed by resale in a secondary market. Via the initial lottery, the hybrid-mechanism allocates the items with positive probability to high-valuation low-wealth individuals who would not have been able to afford them in a competitive market. High-valuation high-wealth agents, on the other hand, acquire the items in the secondary market if they do not receive them in the initial lottery. Therefore, equity in the allocation of access to the resource may be justified not only by distributional concerns but also by economic efficiency. We illustrate our model using data from buybacks of harvesting rights in the seafood industry.     

Difference-Form Contests and the Robustness of All-Pay Auctions

In much of the existing literature on rent-seeking games, the outcome of the contest is either infinitely sensitive or relatively insensitive to contestants' efforts. The current paper presents a family of contest games that permit characterization of equilibrium for all levels of sensitivity of the outcome to contestants' efforts. Specifically, the outcome of the contest depends on the difference between efforts, which encompass the lottery and the all-pay auction as polar cases. The equilibrium converges to that of the all-pay auction as the probability of winning the prize grows infinitely sensitive to one's effort, and the main qualitative features of equilibrium persist over a large parameter region. Journal of Economic Literature Classification Numbers: D44, D72.     

Auctions for social lending: A theoretical analysis

Prosper, today the second largest social lending marketplace with nearly 1.5 million members and $380 million in funded loans, employed an auction mechanism amongst lenders to finance each borrower's loan until 2010. Given that a basic premise of social lending is cheap loans for borrowers, how does the Prosper auction do in terms of the borrower's payment, when lenders are strategic agents with private true interest rates? We first analyze the Prosper auction as a game of complete information and fully characterize its Nash equilibria, and show that the uniform-price Prosper mechanism, while simple, can lead to much larger payments for the borrower than the VCG mechanism. We next compare the Prosper mechanism against the borrower-optimal auction in an incomplete information setting, and conclude by examining the Prosper mechanism when modeled as a dynamic auction, and provide tight bounds on the price for a general class of bidding strategies.     

An Optimal Ad Valorem Tax/Subsidy with an Output-Based Refunded Emission Payment for Permits Auction in an Oligopoly Market

In this paper, we explores a hybrid mechanism of output-based refunded emission payment and an ad valorem tax/subsidy to remove the distortions emerging in the permit auction market and the product market. We find that first best outcomes can be achieved under such a hybrid mechanism. A clearing price equal to a Pigouvian tax will endogenously result in the permit auction market. Moreover, we extend the analysis to take into consideration the investment in abatement technology.     

Asymmetric Nash equilibrium in emission rights auctions

This paper studies the problems of emission rights auctions, and presents a uniform price auction mechanism based on three assumptions, i.e., all buyers are asymmetric, every buyer submits a nonincreasing continuous demand function, and every buyer's valuation to per unit of the emission rights is common value information. It focuses on solving the asymmetric Nash equilibrium for this auction mechanism. It concludes that there exist multiple Nash equilibria in our auction mechanism, but the arbitrary low equilibrium prices cannot emerge. We also give several suggestions on how to induce the auction to a desired ideal equilibrium state in mechanism design of emission rights auctions.     

Mecro‐Economic Voting: Local Information and Micro‐Perceptions of the Macro‐Economy

We develop an incomplete information theory of economic voting, where voters' information about macro‐economic performance is determined by the economic conditions of people similar to themselves. We test our theory using both cross‐sectional and time‐series survey data. A novel survey instrument that asks respondents their numerical assessment of the unemployment rate confirms that individuals' economic information responds to the economic conditions of people similar to themselves. Furthermore, these assessments are correlated with individuals' vote choices. We also show in time‐series data that state unemployment robustly correlates with evaluations of national economic conditions, and presidential support.     

The nested collective lottery that maximizes welfare under consumption interdependence

We develop a generalized lottery mechanism in this article that allows people to choose to succeed separately while retaining both merits (fairness and options to succeed jointly) of the collective lottery developed by Chen et al. (2010). We use the rationing of hunting permits in the US and Canada as examples to show the applicability of this generalized lottery mechanism.     

Consuming your way to efficiency: Public goods provision through non-distortionary tax lotteries

We revisit the classical result that taxation of private consumption is distortionary and therefore precludes the efficient provision of public goods. We introduce a nonlinear consumption tax which we call a ‘tax lottery’. Under this scheme, an ad-valorem consumption tax is supplemented with a lottery in which consumers can win cash prizes. The winning probabilities in this lottery depend on all consumers' private good consumption decisions. We show that for a given ad-valorem tax, an appropriately designed lottery can implement an efficient allocation in pure-strategy Nash equilibrium. The lottery component corrects the distortion in private consumption due to the ad-valorem tax, while the resulting tax revenue is sufficient to efficiently provide the public good and pay out the lottery prize.     

A college athletics recruiting game to teach the economics of rent-seeking

The authors of this article describe an adaptation of the rent-seeking game by Goeree and Holt (1999) to the recruiting of athletes by NCAA Division I football and basketball teams. Students engage in an effort-based lottery, i.e., recruiting to sign a blue-chip prospect. The winner gets the prize—the player's marginal revenue product in excess of his grant in aid. Students recruit in three scenarios: by recruiting legally, by recruiting legally or with illegal bribes, and by offering wages to athletes in an auction. The authors demonstrate the game's use in a principles course, but it is easily adaptable to other courses. To aid instructors unfamiliar with sports and NCAA recruiting, they include a comprehensive lesson plan with suggested readings and multimedia.     

Selection effects in auctions for monopoly rights

We demonstrate that auctioning market licenses may result in higher market prices than assigning them via more random allocation mechanisms. When future market profit is uncertain, winning an auction is like winning a lottery ticket. If firms differ in risk attitudes, auctions select the least risk-averse firm, which, in turn, set a higher price (or a higher quantity, in case quantity is the decision variable) in the marketplace than an average firm.     

Using experimental economics to measure the effects of a natural educational experiment on altruism

Economic research examining how educational intervention programs affect primary and secondary schooling focuses largely on test scores although the interventions can affect many other outcomes. This paper examines how an educational intervention, a voucher program, affected students' altruism. The voucher program used a lottery to allocate scholarships among low-income applicant families with children in K-8th grade. By exploiting the lottery to identify the voucher effects, and using experimental economic methods, we measure the effects of the intervention on children's altruism. We also measure the voucher program's effects on parents' altruism and several academic outcomes including test scores. We find that the educational intervention positively affects students' altruism towards charitable organizations but not towards their peers. We fail to find statistically significant effects of the vouchers on parents' altruism or test scores.     

Optimal sale across venues and auctions with a buy-now option

We characterize the optimal selling mechanism for a seller who faces demand demarcated by a high and a low end and who can access an (online) auction site (by paying an access cost) in addition to using his own store that can be used as a posted price selling venue. We first solve for the optimal mechanism of a direct revelation game in which there is no venue-restriction constraint. We find that the direct optimal mechanism must necessarily incorporate a certain kind of pooling. We then show that even with the venue constraint, the seller can use a two stage indirect mechanism that implements the allocation rule from the optimal direct mechanism, and uses the venues in an optimal fashion. The first stage of the indirect mechanism is a posted price at the store. If the object is not sold, we move to stage two, which involves an auction at the auction site. A feature of this auction is a buy-now option which is essential for implementing the pooling feature of the optimal direct mechanism. We also show that the buy-now option in the optimal mechanism is of a “temporary” variety, and that a “permanent” buy-now option, in contrast, cannot implement the optimal mechanism. Auctions with a temporary buy-now option are in widespread use on eBay. We thank the Associate Editor, George Deltas, for his insightful comments. We also thank seminar participants at the University of Basel and the SAET conference 2007.     

The effectiveness of English auctions

We study the performance of the English auction under different assumptions about the seller's degree of “Bayesian sophistication.” We define the effectiveness of an auction as the ratio between the expected revenue it generates for the seller and the expected valuation of the object to the bidder with the highest valuation (total surplus). We identify tight lower bounds on the effectiveness of the English auction for general private-values environments, and for private-values environments where bidders' valuations are non-negatively correlated. For example, when the seller faces 12 bidders who the seller believes have non-negatively correlated valuations whose expectations are at least as high as 60% of the maximal possible valuation, an English auction with no reserve price generates an expected price that is more than 80% of the value of the object to the bidder with the highest valuation.     

THE DETERMINANTS OF PRICE IN ONLINE AUCTIONS: MORE EVIDENCE FROM QUANTILE REGRESSION

This study explores how seller reputations affect auction prices and concludes that earlier findings may be biased due to the misspecification of seller reputation. This paper contributes to the literature by offering significant empirical evidence using Taiwanese internet auction data. Our study reveals that the influence of seller reputations on auction prices is significant, irrespective of the assumptions of linear or non‐linear relationships with price. However, failure to consider the non‐linear setting of seller reputation leads us to underestimate the impact of reputation when the seller's reputation score is low, but overestimates it when the seller's reputation becomes high. Using quantile regression, this study finds evidence of considerable differences in their impact on auction prices that are dependent on the distribution of price levels.