Given n agents with von Neumann-Morgenstern utility functions who wish to divide m commodities, consider the n-person noncooperative game with strategies consisting of concave, increasing von Neumann-Morgenstern utility functions, and whose outcomes are the relative utilitarian solution. It is...

I study a two-parameter family of rules governing the process of entry into a club. There are three types of agent: candidates desire to enter the club; judges vote on who should enter; elite are already in the club. Promotion requires that at least n of N judges agree that a candidate is at...