Nash Equilibrium in Concurrent Games with Lexicographic Preferences. Gutierrez, J., Murano, A., Perelli, G., Rubin, S., & Wooldridge, M. In Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, IJCAI 2017, Melbourne, Australia, August 19-25, 2017, pages 1067–1073, 2017. ![Nash Equilibrium in Concurrent Games with Lexicographic Preferences. [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper abstract bibtex We study concurrent games with finite-memory strategies where players are given a Buchi and a mean-payoff objective, which are related by a lexicographic order: a player first prefers to satisfy its Buchi objective, and then prefers to minimise costs, which are given by a mean-payoff function. In particular, we show that deciding the existence of a strict Nash equilibrium in such games is decidable, even if players' deviations are implemented as infinite memory strategies.
@inproceedings
{
C-GMPRW17,
author = {Julian Gutierrez and Aniello Murano and Giuseppe Perelli and Sasha Rubin and Michael Wooldridge},
title = {Nash Equilibrium in Concurrent Games with Lexicographic Preferences.},
abstract = {We study concurrent games with finite-memory strategies where players are given a Buchi and a mean-payoff objective, which are related by a lexicographic order: a player first prefers to satisfy its Buchi objective, and then prefers to minimise costs, which are given by a mean-payoff function. In particular, we show that deciding the existence of a strict Nash equilibrium in such games is decidable, even if players' deviations are implemented as infinite memory strategies.},
booktitle = {Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, {IJCAI} 2017, Melbourne, Australia, August 19-25, 2017},
pages = {1067--1073},
year = {2017},
url_paper = {https://www.ijcai.org/Proceedings/2017/148},
}
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