QUASI-WEIGHTINGS, TRADING, AND DESIRABILITY RELATIONS IN SIMPLE GAMES

We investigate the problem of simultaneously characterizing various cl asses of simple games in three different ways: (i) the existence of '' quasi-weightings'' in which smaller numerical values are assigned to l osing coalitions than are assigned to winning ones, (ii) the robustnes s of ''winningness'' with respect to trades involving groups of player s, and (iii) the acyclicity of certain strict ''orderings'' that intui tively correspond to the idea of one player being more desirable than another. Journal of Economic Literature Classification Number: C71. (C ) 1996 Academic Press, Inc.