We investigate 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 first refinement, the mixed saddle, is unique and gives us a new solution, generally lying between the GETCHA and GOTCHA sets of...

In this paper we consider a model of the country with heterogeneous population and examine compensation schemes that may prevent a threat of secession by dissatisfied regions. We show that horizontal imbalances are combatable with secession-proof compensation schemes that entail a degree of...