Efficient Liability Rules: Complete Characterization

Received May, 18, 2000; revised version received March, 19, 2001     

Cardinality-based equality of opportunities

We study possible rankings of opportunity profiles. An opportunity profile is a list of opportunity sets, one for each agent in the society. We compare profiles on the basis of the notion of “equality of opportunities”. Our main results show the necessary and sufficient conditions for this comparison to be made using exclusively the information provided by two cardinal measures: the number of common alternatives in all sets of a given profile and the difference between the number of alternatives in the individual sets. We also show that, under additional axioms, we can combine these criteria only in a weighted procedure or in some lexicographic refinements of a weighted procedure.      

Global Integration in Primary Equity Markets: The Role of U.S. Banks and U.S. Investors

We examine the costs and benefits of the global integrationof initial public offering (IPO) markets associated with thediffusion of U.S. underwriting methods in the 1990s. Bookbuildingis becoming increasingly popular outside the United States andtypically costs twice as much as a fixed-price offer. However,on its own, bookbuilding only leads to lower underpricing whenconducted by U.S. banks and/or targeted at U.S. investors. Formost issuers, the gains associated with lower underpricing outweighedthe additional costs associated with hiring U.S. banks or marketingin the United States. This suggests a quality/price trade-offcontrasting with the findings of Chen and Ritter, particularlysince non-U.S. issuers raising US$20 million–US$80 millionalso typically pay a 7% spread when U.S. banks and investorsare involved.     

DS-optimal designs in one way ANOVA

Characterization and construction of optimal designs using the familiar optimality criteria, for example A-, D- and E-optimality are well studied in the literature. However the study of the Distance Optimality (DS-) criterion introduced by Sinha (1970) has very recently drawn attention of researchers. In the present article, we consider the singularly estimable full rank problem of estimating the full set of elementary treatment contrasts using the DS optimality criterion in the set up of a one way ANOVA model. Using a limit argument it turns out that a CRD in which difference between any two allocation numbers is at the most unity is uniquely DS-optimal. Acknowledgement. We are thankful to Prof. B. K. Sinha for suggesting the problem to us and many helpful discussions with him. We are also thankful to the referees for drawing our attention to the reference of Bischoff (1995) and many helpful comments.