Okan Yilankaya

A Model of Evidence Production and Optimal Standard of Proof and Penalty in Criminal Trials

The defendant is either innocent or guilty, which she, not the court or prosecutor, knows. The court convicts the defendant whenever its posterior probability of her guilt - which depends on the evidence presented - is greater than . Evidence production by litigating parties is a costly stochastic process. Subsequently, the optimal choice of standard of proof and penalty is analysed. The optimal standard of proof is increasing in the cost of convicting an innocent defendant and decreasing in the cost of acquitting a guilty defendant. Higher penalties may increase probabilities of false conviction false acquittal.

Optimal Auctions with Simultaneous and Costly Participation

We study the optimal auction problem with participation costs in the symmetric independent private values setting, where bidders know their valuations when they make independent participation decisions. After characterizing the optimal auction in terms of participation cutoffs, we provide an example where it is asymmetric. We then investigate when the optimal auction will be symmetric/asymmetric and the nature of possible asymmetries. We also show that, under some conditions, the seller obtains her maximal profit in an (asymmetric) equilibrium of an anonymous second price auction. In general, the seller can also use non-anonymous auctions that resemble the ones that are actually observed in practice.