“King Solomon's Dilemma” is based on a biblical story and this can be considered as an allocation problem for an indivisible object among two players. An allocation is first-best if a social planner wants to assign the object without payment to the player whose valuation is the highest. We...

We investigate the social choice problem in which the range of a rule consists of only two alternatives. While Barbera et al. (International Journal of Game Theory, 41: 791-808, 2012) capture the feature of “strategy-proof” rules based on the monotonicity condition of winning coalitions, we...

We consider the allocation problem of infinitely divisible resources with at least three agents. For this problem, Thomson (Games and Economic Behavior, 52: 186-200, 2005) and Dogan (Games and Economic Behavior, 98: 165-171, 2016) propose "simple" but not "procedurally fair" game forms which...