# Jean-Pierre Magnot

## On the interplay between gauge theory and decision theory

This talk is centered on a rigorous interplay between topics in decision theory and Yang-Mills theory from the viewpoint of quantum gravity. Addressed to specialists on physics and mathematics, I recall basics on pairwise comparisons, inconistency indicators and priority vectors and develop an almost fully symmetric picture between pairwise comparisons and an Abelian Yang Mills theory in the spirit of quantum gravity. The latest results in this direction are discussed, and open directions, such as pairwise comparisons in a non abelian group, considerations on the meaning of a quantization procedure for pairwise comparisons, as well as questions on the meaning in physics of the transposition of methods from information theory are ending the talk.