Manipulation of preferences and relative utilitarianism

Given n agents with who wish to divide in commodities, consider the n-perso n noncooperative game with strategies consisting of concave increasing util ity functions, and whose outcomes are the relative utilitarian solution. An y constrained equal-income competitive equilibrium allocation for the true utilities is shown to ba a Nash equilibrium outcome for the noncooperative game. Conditions are presented under which these are the only pure strategy equilibrium outcomes, (C) 2001 Academic Press.