On Game Theory Using Stochastic Tail Orders
Probability
2022-04-20 v2
Abstract
We consider a family of distributions on which natural tail orders can be constructed upon a representation of a distribution by a (single) hyper-real number. Past research revealed that the ordering can herein strongly depend on the particular model of the hyperreals, specifically the underlying ultrafilter. Hence, our distribution family is constructed to order invariantly of an ultrafilter. Moreover, we prove that it lies dense in the set of all distributions with the (same) compact support, w.r.t. the supremum norm. Overall, this work resents a correction to [10, 12], in response to recent findings of [2].
Cite
@article{arxiv.2108.00680,
title = {On Game Theory Using Stochastic Tail Orders},
author = {Stefan Rass and Sandra König and Stefan Schauer and Vincent Bürgin and Jeremias Epperlein and Fabian Wirth},
journal= {arXiv preprint arXiv:2108.00680},
year = {2022}
}