Axiomatic and Algorithmic Study on Different Areas of Collective Decision Making

Abstract

Our research investigates axiomatic and algorithmic properties in various areas of collective decision making. Studied areas include participatory budgeting, multiwinner voting and opinion diffusion. The goals of our research are to define or adapt appropriate frameworks in order to represent reality in the best possible way. Further, we want to adapt axioms or define new desirable properties and study, which procedures, rules or methods satisfy them in a given framework. In particular, we study budgeting methods from an irresolute point of view, strategic campaigns in apportionment elections and the impacts of social networks underlying collective decision processes.