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Computer Aided Synthesis: A Game-Theoretic Approach

  • Véronique BruyèreEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10396)

Abstract

In this invited contribution, we propose a comprehensive introduction to game theory applied in computer aided synthesis. In this context, we give some classical results on two-player zero-sum games and then on multi-player non zero-sum games. The simple case of one-player games is strongly related to automata theory on infinite words. All along the article, we focus on general approaches to solve the studied problems, and we provide several illustrative examples as well as intuitions on the proofs.

Keywords

Games played on graphs Boolean objective Quantitative objective Winning strategy Nash Equilibrium Synthesis 

Notes

Acknowledgments

We would like to thank Patricia Bouyer, Thomas Brihaye, Emmanuel Filiot, Hugo Gimbert, Quentin Hautem, Mickaël Randour, and Jean-François Raskin for their useful discussions and comments that helped us to improve the presentation of this article.

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Authors and Affiliations

  1. 1.Computer Science DepartmentUniversity of MonsMonsBelgium

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