TY - JOUR AU - Casella,Alessandra AU - Gelman,Andrew TI - A Simple Scheme to Improve the Efficiency of Referenda JF - National Bureau of Economic Research Working Paper Series VL - No. 11375 PY - 2005 Y2 - May 2005 UR - http://www.nber.org/papers/w11375 L1 - http://www.nber.org/papers/w11375.pdf N1 - Author contact info: Alessandra Casella Department of Economics Columbia University 420 West 118 Street New York, NY 10027 Tel: 212/854-2459 Fax: 212/854-8059 E-Mail: ac186@columbia.edu Andrew Gelman Department of Statistics and Department of Political Science Columbia University New York, NY 10027 E-Mail: gelman@stat.columbia.edu AB - This paper proposes a simple scheme designed to elicit and reward intensity of preferences in referenda: voters faced with a number of binary proposals are given one regular vote for each proposal plus an additional number of bonus votes to cast as desired. Decisions are taken according to the majority of votes cast. In our base case, where there is no systematic difference between proposals' supporters and opponents, there is always a positive number of bonus votes such that ex ante utility is increased by the scheme, relative to simple majority voting. When the distributions of valuations of supporters and opponents differ, the improvement in efficiency is guaranteed only if the distributions can be ranked according to first order stochastic dominance. If they are, however, the existence of welfare gains is independent of the exact number of bonus votes. ER -