This note characterizes the ‘inverse plurality rule’, where voters specify only their least preferred alternative. This rule is characterized by a new minimal veto condition (MV) and the four well known conditions that characterize scoring rules; namely, Anonymity (A), Neutrality (N), Reinforcement (RE) and Continuity (C). Our new characterization result is related to the characterizations of a...

This note provides an alternative proof of a known result on the existence of collections of orderings generating intersection quasi-orderings. Instead of proving the result from first principles, it is illustrated how it can be obtained by making use of an analogous relationship between partial orders and linear orders. Journal of Economic Literature Classification Nos.: C60, D11, D71. ∗ I tha...

Given n agents with who wish to divide m commodities, consider the n-person noncooperative game with strategies consisting of concave increasing utility functions, and whose outcomes are the relative utilitarian solution. Any constrained equal-income competitive equilibrium allocation for the true utilities is shown to ba a Nash equilibrium outcome for the noncooperative game. Conditions are pr...

We prove that there exist social choice correspondences that can be implemented in undominated strategies, using finite mechanisms, but can require arbitrarily many strategies to do so, even when there are only two agents and two types of each agent. This is in sharp contrast with dominant-strategy implementation, where the revelation principle implies that only one strategy for each type of ag...

This paper studies the advantages that a coalition of agents in a larger electorate can obtain by forming a voting bloc to pool their votes and cast them all in one direction. We show under which conditions an agent will benefit from the formation of the voting bloc, whether being part of it or stepping out is most advantageous for an individual agent and what are the different optimal internal...

The main goal of this paper is to show that if a finite connected CW complex admits a continuous, symmetric, and unanimous choice function for some number n41 of agents, then the choice space is contractible. On the other hand, if one removes the finiteness, we give a complete characterization of the possible spaces; in particular, noncontractible spaces are indeed possible. These results exten...

It is known that on some social choice and economic domains, a social choice function is coalition strategy-proof if and only if it is Maskin monotonic (e.g. Muller and Satterthwaite, 1977). This paper studies the foundation of those results. I provide a set of conditions which is sufficient for the equivalence between coalition strategy-proofness and Maskin monotonicity. This generalizes some ...

The insulin signalling system is one of the most conserved endocrine systems of Animalia from mollusc to man. In decapod Crustacea, such as the Eastern spiny lobster, Sagmariasus verreauxi (Sv) and the red-claw crayfish, Cherax quadricarinatus (Cq), insulin endocrinology governs male sexual differentiation through the action of a male-specific, insulin-like androgenic gland peptide (IAG). To un...