Constitutional implementation of social choice correspondences

Bezalel Peleg, Hans Peters, and Ton Storcken

A game form constitutionally implements a social choice correspondence if it implements it in Nash equilibrium and, moreover, the associated effectivity functions coincide. This paper presents necessary and sufficient conditions for a unanimous social choice correspondence to be constitutionally implementable, and sufficient and almost necessary conditions for an arbitrary (but surjective) social choice correspondence to be constitutionally implementable. It is shown that the results apply to interesting classes of scoring and veto rules.

July, 2003
Published in: 
International Journal of Game Theory 33 (2005), 381-396