Journal article 389 views 49 downloads
Extending finite-memory determinacy to multi-player games / Stéphane Le Roux; Arno Pauly
Information and Computation, Volume: 261, Pages: 676 - 694
Swansea University Author: Arno, Pauly
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DOI (Published version): 10.1016/j.ic.2018.02.024
Abstract
We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding class of multi-player multi-outcome games. This generalizes a...
| Published in: | Information and Computation |
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| ISSN: | 0890-5401 |
| Published: |
Elsevier BV
2018
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa37648 |
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| Abstract: |
We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding class of multi-player multi-outcome games. This generalizes a previous result by Brihaye, De Pril and Schewe. We provide a number of example that separate the various criteria we explore.Our proofs are generally constructive, that is, provide upper bounds for the memory required, as well as algorithms to compute the relevant Nash equilibria. |
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| Keywords: |
Finite memory; Games played on finite graphs; Finite-memory determinacy; Nash equilibrium; Equilibrium transfer; Energy parity games |
| Start Page: |
676 |
| End Page: |
694 |