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On the Computation of Nash Equilibria in Games on Graphs (Invited Talk)

Author Patricia Bouyer

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Author Details

Patricia Bouyer
  • LSV, CNRS, ENS Paris-Saclay, Université Paris-Saclay, France

Funding

Work supported by ERC project EQualIS between 2013 and 2019.

Acknowledgements

I would like to thank all my co-authors since I started working on multiplayer games played on graphs, that is, Nicolas Markey, Romain Brenguier [Romain Brenguier, 2012], Daniel Stan [Stan, 2017], Michael Ummels and Nathan Thomasset.

Cite AsGet BibTex

Patricia Bouyer. On the Computation of Nash Equilibria in Games on Graphs (Invited Talk). In 26th International Symposium on Temporal Representation and Reasoning (TIME 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 147, pp. 3:1-3:3, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
https://doi.org/10.4230/LIPIcs.TIME.2019.3

Abstract

In this talk, I will show how one can characterize and compute Nash equilibria in multiplayer games played on graphs. I will present in particular a construction, called the suspect game construction, which allows to reduce the computation of Nash equilibria to the computation of winning strategies in a two-player zero-sum game.

Subject Classification

ACM Subject Classification
  • Theory of computation
  • Theory of computation → Solution concepts in game theory
  • Theory of computation → Verification by model checking
Keywords
  • Multiplayer games
  • Nash equilibria

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References

  1. Patricia Bouyer. A Note on Game Theory and Verification. In Proc. 17th International Symposium on Automated Technology for Verification and Analysis (ATVA'19), Lecture Notes in Computer Science. Springer, 2019. To appear. Google Scholar
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