Selling substitute goods to loss‐averse consumers: limited availability,bargains, and rip‐offs

This article derives the optimal pricing and product‐availability strategies for a retailer selling two substitute goods to loss‐averse consumers and shows that limited‐availability sales manipulate consumers into an ex ante unfavorable purchase. The seller maximizes profits by raising the consumers' reference point through a tempting discount on a good available only in limited supply (the bargain), and cashing in with a high price on the other (the rip‐off), which consumers buy if the bargain is not available to reduce their disappointment. The seller might prefer to offer a deal on the more valuable product, using it as a bait.     

Auctions with heterogeneous entry costs

If bidders have independent private values and homogeneous entry costs, a first‐ or second‐price auction with a reserve price equal to the seller’s value maximizes social surplus and seller revenue. We show that if entry costs are heterogeneous and private information, then the revenue‐maximizing reserve price is above the seller’s value, a positive admission fee (and a reserve price equal to the seller’s value) generates more revenue, and an entry cap combined with an admission fee generates even more revenue. Social surplus and seller revenue may either increase or decrease in the number of bidders, but they coincide asymptotically.     

Bidding into the Red: A Model of Post-Auction Bankruptcy

This paper investigates auctions where bidders have limited liability. First, we analyze bidding behavior under different auction formats, showing that the second‐price auction induces higher prices, higher bankruptcy rates, and lower utilities than the first‐price auction. Second, we show that the cost of bankruptcy critically affects the seller's preference over the choice of auction. If bankruptcy is very costly, the seller prefers the first‐price auction over the second‐price auction. Alternatively, if the bankrupt assets are resold among the losers of the initial auction, the seller prefers the second‐price auction.     

On the asymptotic distribution of the transaction price in a clock model of a multi‐unit,oral, ascending‐price auction within the common‐value paradigm

Using a clock model of a multi‐unit, oral, ascending‐price auction, within the common‐value paradigm, we analyze the behavior of the transaction price as the numbers of bidders and units gets large in a particular way. We find that even though the transaction price is determined by a fraction of losing drop‐out bids, that price converges in probability to the true, but ex ante unknown, value. Subsequently, we demonstrate that the asymptotic distribution of the transaction price is Gaussian. Finally, we apply our methods to data from an auction of taxi license plates held in Shenzhen, China.     

“Upping the ante”: how to design efficient auctions with entry?

Of primary importance in auction design is the set of strategies available to the seller at the auction stage. We first formalize hold‐up regarding entry costs that preys on second‐price auctions when the seller may engage in a costly shill‐bidding activity. We derive the optimal reserve and show how shill bidding can make posted prices outperforming auctions. Second, we advocate for a new regulation where shills would be banned but with the possibility of canceling sales ex post, which offers some valuable flexibility: the English auction with jump bids implements, then, the first best in general environments.     

Efficient partnership dissolution under buy‐sell clauses

Buy‐sell clauses are commonly used contractual provisions to determine the terms of dissolution of partnerships. Under them, one party offers a price for the partnership and the other party chooses whether to sell her share or buy her partner's share at this price. We point out that the selection of the proposing partner is essential for the performance of the clause. Moreover, if partners negotiate for the advantage of being the chooser, then buy‐sell clauses result in an ex post efficient outcome. Such endogenous selection is consistent with how buy‐sell clauses are drafted in practice.     

Best foot forward or best for last in a sequential auction?

Should a seller with private information sell the best or worst goods first? Considering the sequential auction of two stochastically equivalent goods, we find that the seller has an incentive to impress buyers by selling the better good first because the seller's sequencing strategy endogenously generates correlation in the values of the goods across periods. When this impression effect is strong enough, selling the better good first is the unique pure‐strategy equilibrium. By credibly revealing to all buyers the seller's ranking of the goods, an equilibrium strategy of sequencing the goods reduces buyer information rents and increases expected revenues in accordance with the linkage principle.     

Trigger happy or gun shy? Dissolving common‐value partnerships with Texas shootouts

The operating agreements of many business ventures include clauses to facilitate the exit of joint owners. In so‐called Texas Shootouts, one owner names a single buy‐sell price and the other owner is compelled to either buy or sell shares at that named price. Despite their prevalence in real‐world contracts, Texas Shootouts are rarely triggered. In our theoretical framework, sole ownership is more efficient than joint ownership. Negotiations are frustrated, however, by the presence of asymmetric information. In equilibrium, owners eschew buy‐sell offers in favor of simple offers to buy or to sell shares and bargaining failures arise. Experimental data support these findings.     

An empirical study of auction revenue rankings: the case of municipal bonds

Using a novel dataset of 386 first‐price municipal bond auctions held in California, I perform counterfactual revenue comparisons, based on the theoretical result of Milgrom and Weber (1982). I show that the revenue in the second‐price auction is nonparametrically identified, and the counterfactual revenue in the English auction can be bounded in an informative way. These results form a basis for nonparametric estimation of counterfactual revenue differences. I find that the revenue gain from using the English auction would be in the range of 11%—19% of the gross underwriting spread, and that most of it would already be captured by using the second‐price auction. The recent explosive growth of Internet English auctions, administered by Grant Street Group, provides external support to the claim that auction design matters in this market.     

First‐price auctions with resale and with outcomes robust to bid disclosure

Although there exists a pure separating equilibrium of the two‐bidder first‐price auction with resale when the bids are kept secret, the ratchet effect prevents the existence of such an equilibrium if the bidders are heterogeneous and the bids are fully disclosed. Nevertheless, we construct a behavioral equilibrium under full disclosure that is equivalent to the pure separating equilibrium under no disclosure. Thus, if the bidders follow this equilibrium, the choice of the disclosure regime does not affect the final allocation of the item nor the expected payoffs.     

Exits,Performance, and Late Stage Private Equity: the Case of UK Management Buy‐outs

Using a hand‐collected dataset of 1,225 buy‐outs, we examine post buy‐out and post exit long term abnormal operating performance of UK management buy‐outs, during the period 1980–2009. Our univariate and panel data analysis of post buy‐out performance conclusively show positive changes in output. We also find strong evidence for improvements in employment and output and a lack of significant changes in efficiency and profitability following initial public offerings (IPO) exits. IPOs from the main London Stock Exchange (LSE) market outperform their counterparts from the Alternative Investment Market (AIM) only in terms of changes in output. For secondary management buy outs (SMBOs), performance declines during the first buy‐out but in the second buy‐out performance stabilises until year three, after which profitability and efficiency fall while employment increases. Although private equity (PE) backed buy‐outs do not exhibit either post buy‐out or post exit underperformance, they fail to over‐perform their non‐PE backed counterparts. In the subsample of buy‐outs exiting via IPOs on the AIM, PE firms do not outperform non‐PE buy‐outs. Our findings highlight the importance of tracing the overall performance of buy‐outs over a longer period and controlling for sample selection bias related to the provision of PE backing.     

Naked exclusion with minimum‐share requirements

We consider a class of contracts in which buyers commit to giving a seller some minimum share of their total purchases. We show that such contracts can be used by an incumbent seller to reduce the probability of entry by a rival seller when the incumbent can commit to its selling price as part of the contract. We further show that such contracts can be profitable for the incumbent even when exclusive dealing would not be, and even when buyers can coordinate their accept‐or‐reject decisions. The average price paid by the buyers will be higher and welfare will be lower whether or not the incumbent's exclusionary conduct turns out to be successful in preventing entry.     

Price Discovery in the Treasury‐Bill When‐Issued Market

When‐issued (i.e., forward) trading in T‐bills yet to be auctioned provides a unique environment for examining price discovery. Because T‐bills are auctioned in a sealed‐bid process, when‐issued traders cannot observe the spot market price. Yet the forward price must ultimately converge on the auction outcome price. Our results indicate that traders in the when‐issued market “discover” the ultimate auction price. Little evidence is found that standard order flow variables contribute to price discovery. Instead, the ability to observe a few trades with relatively small volume in the when‐issued market is sufficient to discover the auction price resulting from the sealed‐bid process.     

Bounds on revenue distributions in counterfactual auctions with reserve prices

Measuring auction revenues under counterfactual reserve prices or formats requires knowledge of distributions of bidders' values and private signals. This poses a challenge when bids are observed from first‐price, common‐value auctions. I bound counterfactual revenue distributions without imposing parametric restrictions on the model structure. Using data from U.S. municipal bond auctions, I find first‐price and second‐price auctions under optimal reserve prices lead to little improvement in revenues over existing first‐price formats. The number of bidders has a more significant impact on revenues in optimal auctions. I also find invoking an incorrect assumption of private values in counterfactual analyses results in small errors in predicting revenues from optimal second‐price auctions.     

An optimal auction with identity‐dependent externalities

We analyze the problem of a seller of multiple identical units of a good who faces a set of buyers with unit demands, private information, and identity‐dependent externalities. We derive the seller's optimal mechanism and characterize its main properties. We show that the probability that a buyer obtains a unit is an increasing function of the externalities he generates and enjoys. Also, the seller's allocation of the units of the good need not be ex post efficient. As an illustration, we apply the model to the problem faced by a developer of a shopping mall who wants to allocate and price its retail space among anchor and non‐anchor stores. We show that a commonly used sequential mechanism is not optimal unless externalities are large enough.     

Pricing and commitment by two‐sided platforms

I study pricing and commitment by platforms in two‐sided markets with the following characteristics: (i) platforms are essential bottleneck inputs for buyers and sellers transacting with each other; (ii) sellers arrive before buyers; and (iii) platforms can charge both fixed fees and variable fees (royalties). I show that a monopoly platform may prefer not to commit to the price it will charge buyers at the same time it announces its seller price if it faces unfavorable seller expectations. With competing platforms, commitment makes the existence of an exclusive equilibrium (in which sellers register with only one platform) less likely, but it has no impact on multi‐homing equilibria (in which sellers support both platforms) whenever these exist.     

Multiple equilibria in a monopoly market with heterogeneous agents and externalities

We explore the effects of social influence in a simple market model in which a large number of agents face a binary choice: to buy/not to buy a single unit of a product at a price posted by a single seller (monopoly market). We consider the case of positive externalities: an agent is more willing to buy if other agents make the same decision. We consider two special cases of heterogeneity in the individuals' decision rules, corresponding in the literature to the Random Utility Models of Thurstone, and of McFadden and Manski. In the first one the heterogeneity fluctuates with time, leading to a standard model in Physics: the Ising model at finite temperature (known as annealed disorder) in a uniform external field. In the second approach the heterogeneity among agents is fixed; in Physics this is a particular case of the quenched disorder model known as a random field Ising model, at zero temperature. We study analytically the equilibrium properties of the market in the limiting case where each agent is influenced by all the others (the mean field limit), and we illustrate some dynamic properties of these models making use of numerical simulations in an Agent based Computational Economics approach. Considering the optimization of the profit by the seller within the case of fixed heterogeneity with global externality, we exhibit a new regime where, if the mean willingness to pay increases and/or the production costs decrease, the seller's optimal strategy jumps from a solution with a high price and a small number of buyers, to another one with a low price and a large number of buyers. This regime, usually modelled with ad hoc bimodal distributions of the idiosyncratic heterogeneity, arises here for general monomodal distributions if the social influence is strong enough.     

Integrating auction and search markets: The slow Dutch auction

The issue of choosing to sell property by auction or by traditional negotiated search markets is addressed in this article. A general selling institution called the slow Dutch auction is introduced. This general selling mechanism reduces to either a conventional auction, a posted offer, or some time dependent mix of these selling institutions depending on the pricing rule chosen by the seller. We model search by having potential buyers whose private valuation for the property is unknown to the seller arrive randomly over time. With this general framework the seller's problem is to choose a selling mechanism that maximizes expected wealth. Surprisingly, we find that the optimal selling institution is always a posted offer market. The seller chooses an optimal posted price and waits until a buyer arrives who is willing to pay this price. Auctions are never optimal.     

Learning by bidding

We analyze a dynamic second‐price auction with an informed bidder and an uninformed bidder who, upon seeing a posted price, learns whether his valuation is above that price. In the essentially unique equilibrium, an informed bidder bids in the first period if her valuation is below some cutoff and bids only in the last period otherwise. An uninformed bidder bids in every period to optimally change the price unless the price is above his valuation or he is the high bidder. This model also provides a rationale behind the use of a secret reserve price in private‐value settings.     

Price Performance Following Share‐Repurchase Announcements by Closed‐End Funds

We investigate the price performance of closed‐end funds that announce share‐repurchase programs. Closed‐end funds experience positive average stock‐price reactions to the announcements. The long‐run buy‐and‐hold abnormal returns of repurchasing funds over the subsequent three years are significantly higher than a nonrepurchasing control sample matched by size, type, investment style and geographic diversification. Funds with larger discounts, international funds, equity funds, and funds that announce larger repurchases or frequently announce repurchases, experience more positive stock‐price reactions. Except for larger repurchases, the same characteristics are associated with more positive long‐run buy‐and‐hold returns.