We consider two-round elimination tournaments where players have fixed resources instead of cost functions. Two approaches are suggested. If the players have the same resources and a success function is stochastic, then players always spend more resources in the first than in the second round in...

Abstract: In a society where individuals differ in their valuation of different social policies, when might one consider a given individual as having references that are extreme relative to the others? And how important are such preferences in determining eventual policy? In this paper, we...