The question addressed in this paper is the order of magnitude of the difference between the Borda rule and any given social choice function. In this paper, a simple measure of the difference between the Borda rule and any given social choice function is proposed. It is given by the ratio of the...

The authors investigates refinements of two solutions, the saddle and the weak saddle, defined by Shapley (1964) for two-player zero-sum games. Applied to weak tournaments, the firsy refinement, the mixed saddle, is unique and gives us a new solution, generally lying between the GETCHA and...

This paper provides a characterization of the consequences of the assumption that a decision maker with a given utility function is Choquet rational: She maximizes expected utility, but possibly with respect to non-additive beliefs, so that her preferences are represented by Choquet expected...