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Competition among Sellers in Securities Auctions

American Economic Review 2011 101(5), 1806-1841 open access
We study simultaneous security-bid second-price auctions with competition among sellers for potential bidders. The sellers compete by designing ordered sets of securities that the bidders can offer as payment for the assets. Upon observing auction designs, potential bidders decide which auctions to enter. We characterize all symmetric equilibria and show that there always exist equilibria in which auctions are in standard securities or their combinations. In large markets the unique equilibrium is auctions in pure cash. We extend the model for competition in reserve prices and show that binding reserve prices never constitute equilibrium as long as equilibrium security designs are not call options. (JEL D44, D82, G10)

The Medium-Term Impact of Medicare Part D on Pharmaceutical Prices

American Economic Review 2011 101(3), 387-392 open access
Medicare Part D began coverage of prescription drugs in 2006. Using data from the first year of the program we found that Part D reduced pharmaceutical prices for Medicare recipients, with these effects driven by enrollees previously without drug coverage. In this paper we extend our analysis through 2009, the fourth year of the program, to investigate whether plans continued to extract price concessions in return for favorable formulary placement, or if consumer inertia or other factors caused prices to bounce back after their initial decline. We find price declines persisted through at least the third year of the program.

On the Optimal Burden of Proof

Journal of Political Economy 2011 119(6), 1104-1140 open access
The burden of proof is a central feature of adjudication, and analogues exist in many other settings. It constitutes an important but largely unappreciated policy instrument that interacts with the level of enforcement effort and magnitude of sanctions in controlling harmful activity. Models are examined in which the prospect of sanctions affects not only harmful acts but also benign ones, on account of the prospect of mistaken application of sanctions. Accordingly, determination of the optimal strength of the burden of proof, as well as optimal enforcement effort and sanctions, involves trading off deterrence and the chilling of desirable behavior, the latter being absent in previous work. The character of the optimum differs markedly from prior results and from conventional understandings of proof burdens, which can be understood as involving Bayesian posterior probabilities. Additionally, there are important divergences across models in which enforcement involves monitoring (posting officials to be on the lookout for harmful acts), investigation (inquiry triggered by the costless observation of particular harmful acts), and auditing (scrutiny of a random selection of acts). A number of extensions are analyzed, in one instance nullifying key results in prior work.

Motivating Innovation

Journal of Finance 2011 66(5), 1823-1860 open access
ABSTRACT Motivating innovation is important in many incentive problems. This paper shows that the optimal innovation‐motivating incentive scheme exhibits substantial tolerance (or even reward) for early failure and reward for long‐term success. Moreover, commitment to a long‐term compensation plan, job security, and timely feedback on performance are essential to motivate innovation. In the context of managerial compensation, the optimal innovation‐motivating incentive scheme can be implemented via a combination of stock options with long vesting periods, option repricing, golden parachutes, and managerial entrenchment.

In Search of Attention

Journal of Finance 2011 66(5), 1461-1499 open access
ABSTRACT We propose a new and direct measure of investor attention using search frequency in Google (Search Volume Index (SVI)). In a sample of Russell 3000 stocks from 2004 to 2008, we find that SVI (1) is correlated with but different from existing proxies of investor attention; (2) captures investor attention in a more timely fashion and (3) likely measures the attention of retail investors. An increase in SVI predicts higher stock prices in the next 2 weeks and an eventual price reversal within the year. It also contributes to the large first‐day return and long‐run underperformance of IPO stocks.