Social Choice Theory

Some classical results in Social Choice Theory. Drawing on Sen’s landmark work ”Collective Choice and Social Welfare” (1970), this development proves Arrow’s General Possibility Theorem, Sen’s Liberal Paradox and May’s Theorem in a general setting. The goal was to make precise the classical statements and proofs of these results, and to provide a foundation for more recent results such as the Gibbard-Satterthwaite and Duggan-Schwartz theorems.

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  1. Nipkow, Tobias: Social choice theory in HOL. Arrow and Gibbard-Satterthwaite (2009)