Population Monotonicity in Public Good Economies with Single Dipped Preferences

<p>We study public good economies with variable population. We consider the problem of locating a single public good along a segment when agents have single dipped preferences. We analyze population monotonicity along with the standard properties Pareto efficiency, continuity and no-veto power. We show that there is no rule satisfying these properties together.</p>

On Nash Implementability in Allotment Economies under Domain Restrictions with Indifference

In this paper we give a full characterization of Nash implementability of social choice correspondences (SCCs) in allotment economies on preference domains with private values and different types of indifference. We focus on single-peaked/single-plateaued preferences with worst indifferent allocations, single-troughed preferences and single-troughed preferences with best indifferent allocations. We begin by introducing a weak variant of no-veto power, called

On Partially Honest Nash Implementation in Private Good Economies with Restricted Domains: A Sufficient Condition

In this article, we study the problem of Nash implementation in private good economies with single-peaked, single-plateaued, and single-dipped preferences in the presence of at least one minimally honest agent. We prove that all solutions of the problem of fair division satisfying unanimity can be implemented in Nash equilibria as long as there are at least three agents participating in the mechanism (game form). To justify this result, we provide a list of solutions which violate the condition of no-veto power.