Optimality in Social Choice

Modularity and Optimality in Social Choice

Marengo and the second author have developed in the last years a geometric model of social choice when this takes place among bundles of interdependent elements, showing that by bundling and unbundling the same set of constituent elements an authority has the power of determining the social outcome. In this paper we will tie the model above to tournament theory, solving some of the mathematical...

Topological Social Choice Topological Social Choice

The topological approach to social choice was developed by Graciela Chichilnisky in the beginning of the eighties. The main result in this area (known as the resolution of the topological social choice paradox) shows that a space of preferences admits of a continuous, anonymous, and unanimous aggregation rule for every number of individuals if and only if the space is contractible. Furthermore,...

Actions in Social Choice

This thesis concerns a specific procedure for social choice of a group action under uncertainty. It consists of three main parts. First we investigate formal desiderata for the single agent case. Next the model’s position relative to varying disciplines is considered. Finally we provide an implementation of the full multiagent model in the programming language Haskell.

Social optimality in quantum Bayesian games

A significant aspect of the study of quantum strategies is the exploration of the gametheoretic solution concept of theNash equilibrium in relation to the quantization of a game. Pareto optimality is a refinement on the set of Nash equilibria. A refinement on the set of Pareto optimal outcomes is known as social optimality in which the sum of players’ payoffs is maximized. This paper analyzes s...

Social Choice