STRATEGY-PROOF VOTING ON COMPACT RANGES

Strategy-proof social choice functions are characterized for societies where the space of alternatives is any full dimensional compact subse t of a Euclidean space and all voters have generalized single-peaked p references. Our results build upon and extend those obtained for carte sian product ranges by Border and Jordan (1983). By admitting a large set of non-Cartesian ranges, we give a partial answer to the major ope n question left unresolved in this pioneering article. We prove that o ur class is composed by generalized median voter schemes which satisfy an additional condition, called the intersection property [Barbera, M asso, and Neme (1997)]. Journal Of Economic Literature Classification Number: D71. (C) 1998 Academic Press.