Fixed Agenda Social Choice Theory: Correspondence and Impossibility Theorems for Social Choice Correspondences and Social Decision Functions
Abstract Most impossibility results in the theory of social choice require that the collective choice rule operates on many different subsets of the universal set of alternatives. This paper shows that there is a close correspondence between this framework and a fixed agenda framework, i.e., one where it is only necessary to choose from one particular set of alternatives. It also shows that Arrow′s Impossibility Theorem and Gibbard′s oligarchy result can be translated into a fixed agenda framework. Journal of Economic Literature Classification Number: D70.