When to carry eccentric products? Optimal retail assortment under consumer returns

To understand whether retailers should consider consumer returns when merchandising, we study howthe optimal assortment of a price-taking retailer is influenced by its return policy. The retailer selects itsassortment from an exogenous set of horizontally differentiated products. Consumers make purchase andkeep/return decisions in nested multinomial logit fashion. Our main finding is that the optimal assortmenthas a counterintuitive structure for relatively strict return policies: It is optimal to offer a mix of the mostpopular and most eccentric products when the refund amount is sufficiently low, which can be viewed asa form of risk sharing between the retailer and consumers. In contrast, if the refund is sufficiently high, orwhen returns are disallowed, optimal assortment is composed of only the most popular products (a commonfinding in the literature). We provide preliminary empirical evidence for one of the key drivers of our results:more eccentric products have higher probability of return conditional on purchase. In light of our analyticalfindings and managerial insights, we conclude that retailers should take their return policies into accountwhen merchandising.

Variable Kernel estimates: On the impossibility of tuning the parameters

For the standard kernel density estimate, it is known that one can tune the bandwidth such that the expected L1 error is within a constant factor of the optimal L1 error (obtained when one is allowed to choose the bandwidth with knowledge of the density). In this paper, we pose the same problem for variable bandwidth kernel estimates where the bandwidths are allowed to depend upon the location. We show in particular that for positive kernels on the real line, for any data-based bandwidth, there exists a densityfor which the ratio of expected L1 error over optimal L1 error tends to infinity. Thus, the problem of tuning the variable bandwidth in an optimal manner is ``too hard''. Moreover, from the class of counterexamples exhibited in the paper, it appears thatplacing conditions on the densities (monotonicity, convexity, smoothness) does not help.

Do agglomeration economies reduce the sensitivity of firm location to tax differentials?

Low corporate taxes can help attract new firms. This is the main mechanism underpinning the standard 'race-to-the-bottom'view of tax competition. A recent theoretical literature has qualified this view by formalizing the argument that agglomeration forces can reduce firms' sensitivity to tax differentials across locations. We test this proposition using data on firm startups across Swiss municipalities. We find that, on average, high corporate income taxes do deter new firms, but that this relationship is significantly weaker in the most spatially concentrated sectors. Location choices of firms in sectors with an agglomeration intensity at the twentieth percentile of the sample distribution are estimated to be twice as responsive to a given difference in local corporate tax burdens as firms in sectors with an agglomeration intensity at the eightieth percentile. Hence, our analysis confirms the theoretical prediction: agglomeration economies can neutralize the impact of tax differentials on firms' location choices.

Optimal regulation of a fully insured deposit banking system

We analyze risk sensitive incentive compatible deposit insurancein the presence of private information when the market value of depositinsurance can be determined using Merton's (1997) formula. We show that,under the assumption that transferring funds from taxpayers to financialinstitutions has a social cost, the optimal regulation combines differentlevels of capital requirements combined with decreasing premia on depositinsurance. On the other hand, it is never efficient to require the banksto hold riskless assets, so that narrow banking is not efficient. Finally,chartering banks is necessary in order to decrease the cost of asymmetricinformation.