Reasoning About Social Choice Functions

Nicolas Troquard, Wiebe van der Hoek, Michael Wooldridge
2011 Journal of Philosophical Logic  
We introduce a logic specifically designed to support reasoning about social choice functions. The logic includes operators to capture strategic ability, and operators to capture agent preferences. We establish a correspondence between formulae in the logic and properties of social choice functions, and show that the logic is expressively complete with respect to social choice functions, i.e., that every social choice function can be characterised as a formula of the logic. We prove that the
more » ... ic is decidable, and give a complete axiomatization. To demonstrate the value of the logic, we show in particular how it can be applied to the problem of determining whether a social choice function is strategy-proof.
doi:10.1007/s10992-011-9189-z fatcat:mcone5exszfbrjd6bgd3nmvlny