Voting with preferences over margins of victory

Abstract

This paper analyzes a two-alternative voting model with the distinctive feature that voters have preferences over margins of victory. We study voting contests with a finite as well as an infinite number of voters, and with and without mandatory voting. The main result of the paper is the existence and characterization of a unique equilibrium outcome in all those situations. At equilibrium, voters who prefer a larger support for one of the alternatives vote for such alternative, providing a formal argument for the conditional sincerity voting condition in [Alesina, Alberto, Rosenthal, Howard, 1995. Partisan Politics, Divided Government, and the Economy. Cambridge University Press, Cambridge] and the benefit of voting function in [Llavador, Humberto, 2006. Electoral platforms, implemented policies and abstention. Social Choice and Welfare 27 (1), 55–81]. Finally, we offer new insights on explaining why some citizens may vote strategically for an alternative different from the one declared as the most preferred.