Knowledge-Theoretic Properties of Strategic Voting

Abstract. Results in social choice theory such as the Arrow and GibbardSatterthwaite theorems constrain the existence of rational collective decision making procedures in groups of agents. The Gibbard-Satterthwaite theorem says that no voting procedure is strategy-proof. That is, there will always be situations in which it is in a voter’s interest to misrepresent its true preferences i.e., vote strategically. We present some properties of strategic voting and then examine—via a bimodal logic utilizing epistemic and strategizing modalities—the knowledge-theoretic properties of voting situations and note that unless the voter knows that it should vote strategically, and how, i.e., knows what the other voters’ preferences are and that it should vote a certain preference P , the voter will not strategize. Our results suggest that opinion polls in election situations effectively serve as the first n − 1 stages in an n stage election.

• Type: Conference
• Year: 2004
• Where: JELIA
• Authors: Samir Chopra, Eric Pacuit, Rohit Parikh
• Keywords: Artificial Intelligence, JELIA 2004, Rational Collective Decision, Social Choice Theory, Voting Procedure