Voting by Axioms

Marie Christin Schmidtlein, Ulle Endriss

Abstract: We develop an approach for collective decision making from first principles. In this approach, rather than using a---necessarily imperfect---voting rule to map any given scenario where individual agents report their preferences into a collective decision, we identify for every concrete such scenario the most appealing set of normative principles (known as axioms in social choice theory) that would entail a unique decision and then implement that decision. We analyse some of the fundamental properties of this new approach, from both an algorithmic and a normative point of view.