We study a standard model of exchange economies with individual endowments. It is well known that no rule is individually rational, efficient, and strategy-proof. In order to quantify the extent of this impossibility, we parametrize axioms on allocation rules. Given an axiom A, a parametrization...

We consider the problem of allocating a single infinitely divisible commodity to agents with single-peaked preferences, and establish two properties of the rule that has played the central role in the analysis of this problem, the uniform role. Among the efficient allocations, it selects (1) the...

This is Part II of a study of the axiomatic and its recent applications to game theory and resource allocation. Part I is a user's guide. Part II discusses alternatives to the axiomatic method and answers criticisms often addressed at the axiomatic method.