A generalization of Condorcet’s Jury Theorem to weighted voting games with many small voters

We extend Condorcet’s Jury Theorem (Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix. De l’imprimerie royale, 1785) to weighted voting games with voters of two kinds: a fixed (possibly empty) set of ‘major’ voters with fixed weights, and an ever-increasing number of ‘minor’ voters, whose total weight is also fixed, but where each individual’s weight becomes negligible. As our main result, we obtain the limiting probability that the jury will arrive at the correct decision as a function of the competence of the few major players. As in Condorcet’s result the quota q = 1/2 is found to play a prominent role. I wish to thank Maurice Koster, Moshé Machover, Guillermo Owen and two anonymous referees for helpful comments.     

Background Risk and the Performance of Insurance Markets under Adverse Selection

Background risk can influence the performance of insurance markets that must deal with adverse selection when applicants are risk vulnerable, since they are more averse to bearing the insurable risk as a result of their exposures to background risk. We show that background risk always results in a lower deductible for the incentive constrained contract, and that a broader range of markets attains the stable sequential equilibrium cross-subsidized pair of separating contracts. We conclude that background risk always improves the performance of markets for coverage against (insurable) foreground risks that must deal with adverse selection. We also find, however, that these improvements are never sufficient to offset the cost to insureds of bearing the background risk.     

Ethics,gratuities, and professionalization of the purchasing function

This study investigated (1) whether potential future purchasing agents were predisposed to accept gratuities or whether the practice of gratuity acceptance is a manifestation of the job itself, (2) whether the existence of a code of ethics forbidding gratuity acceptance curtails the occurrence, and (3) whether disparities in ethics policies between the sales and purchasing functions affect gratuity acceptance. Hypotheses based upon the concepts of organizational concern and institutionalized ethics are developed and empirically tested. Results suggest that future purchasing agents are predisposed to accept gratuities and that formal written ethics policies decrease the acceptance of gratuities. Disparities in ethics policies between the sales and purchasing functions concerning gratuities failed to affect gratuity acceptance significantly.Gregory B. Turner is assistant professor of marketing at Livingston University. He has published inThe International Journal of Logistics Management and theTransportation Journal.G. Stephen Taylor is Associate Professor of management at Mississippi State University. His research interests include ethics in computer usage, performance appraisal, and turnover control.Mark F. Hartley is Assistant Professor and National Association of Purchasing Management/Carolinas-Virginia chair of Purchasing at the College of Charleston. His research interests include ethics and professionalization of the purchasing function.