This paper examines the logical relationship among Maskin monotonicity, independent person-by-person monotonicity, independent weak monotonicity, strategy-proofness, and coalitional strategy-proofness in a society with infinite individuals.

This paper investigates how horizontal mergers affect the optimal entry barrier (tax) in the presence of free entry and exit. We show that the government should raise the entry tax when a merger reduces the total number of firms entering.

This paper is concerned with the problem of extending an antisymmetric binary relation on a set to a linear order on the power set. A necessary and sufficient condition is offered.

This paper provides an alternative proof of the Gibbard-Satterthwaite theorem.

This paper introduces a local version of envy-freeness and investigates its implications in a continuum agent economy with connected preferences. We show that the set of locally envy-free and Pareto efficient allocations coincides with the set of equal-income Walrasian allocations.

We characterize a generalization of the linear index of individual deprivation. Our class allows for an income increase of a higher-income individual to have a stronger impact the closer they occur to the income of the person under consideration.