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Dynamic Auctions

Review of Economic Studies 1990 57(1), 49
A dynamic trading game is examined in which two uninformed buyers engage in Bertrand-like competition to attempt to purchase a single object of uncertain quality from an informed seller. It is shown that there exists a unique perfect sequential equilibrium. The game is compared to an analogous bargaining game in which a single uninformed buyer makes offers to a single seller. Despite the fact that in the equilibrium of the competitive game, buyers compete away their surplus, it is shown that sellers can often gain a higher ex ante surplus in the bargaining game.

Optimal Procurement Mechanisms

Econometrica 1995 63(3), 591
We analyze optimal mechanisms in environments where sellers are privately informed about quality. A methodology is provided for deriving conditions that are necessary and sufficient to determine when two simple trading environments maximize either social or private surplus. The commonly used auction mechanism is frequently inefficient in procurement environments. Often, the optimal mechanism is simply to order potential suppliers and to tender take-it-or-leave-it offers to each sequentially. We completely characterize the environments in which either mechanism is optimal. In doing so, we develop a general methodology that determines when and if a given trading institution is optimal.

Do board gender quotas affect firm value? Evidence from California Senate Bill No. 826

Journal of Corporate Finance 2020 60, 101526
We examine stock market reactions, direct costs of compliance, and board adjustments to California Senate Bill No. 826 (SB 826), the first mandated board gender diversity quota in the United States. Announcement returns average −1.2% and are robust to the use of multiple methodologies. Returns are more negative when the gap between the mandated number and the pre-SB 826 number of female directors is larger. These negative effects are less severe for firms with a greater supply of female candidates, and for those that can more easily replace male directors or attract female directors. For small firms, the annual direct cost of compliance through board expansion is non-trivial, representing 0.76% of market value. Following SB 826, firms significantly increase female board representation, and the increase is greater for firms in California than control firms in other states.