Manipulation of Preferences and Relative Utilitarianism

Given n agents with who wish to divide m commodities, consider the n-person noncooperative game with strategies consisting of concave increasing utility functions, and whose outcomes are the relative utilitarian solution. Any 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. Journal of Economic Literature Classification Numbers: C72, C78, D71.  2001 Academic Press