2019/07/22 by Frank M. V. Feys, Helle Hvid Hansen
Economics, Econometrics and Finance · Computer Science · #econ.TH #cs.LO
paper · pdf · doi:10.4204/eptcs.297.12
published as EPTCS 297, 2019, pp. 175-188 · In Proceedings TARK 2019, arXiv:1907.08335
arxiv created 2019/07/22 · arxiv updated 2019/07/25
We present a proof of Arrow's theorem from social choice theory that uses a fixpoint argument. Specifically, we use Banach's result on the existence of a fixpoint of a contractive map defined on a complete metric space. Conceptually, our approach shows that dictatorships can be seen as fixpoints of a certain process.