3 papers
math.CO2022
A Measure Theoretic Paradox from a continuous colouring rule
Robert Simon, Grzegorz Tomkowicz
Given a probability space , measure preserving transformations of , and a colour set , a colouring rule is a way to colour the space with…
math.LO2018
Paradoxical decompositions and finitary rules
Robert Samuel Simon, Grzegorz Tomkowicz
We colour every point x of a probability space X according to the colours of a finite list x_1, ...., x_k of points such that each of the x_i, as a function of x, is a measure pres…
cs.GT2017
A Bayesian Game without epsilon equilibria
Robert Samuel Simon, Grzegorz Tomkowicz
We present a three player Bayesian game for which there is no epsilon equilibria in Borel measurable strategies for small enough epsilon, however there are non-measurable equilibri…