6 Search Results for "Brenguier, Romain"


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

Authors: Patricia Bouyer

Published in: LIPIcs, Volume 147, 26th International Symposium on Temporal Representation and Reasoning (TIME 2019)


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.

Cite as

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)


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@InProceedings{bouyer:LIPIcs.TIME.2019.3,
  author =	{Bouyer, Patricia},
  title =	{{On the Computation of Nash Equilibria in Games on Graphs}},
  booktitle =	{26th International Symposium on Temporal Representation and Reasoning (TIME 2019)},
  pages =	{3:1--3:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-127-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{147},
  editor =	{Gamper, Johann and Pinchinat, Sophie and Sciavicco, Guido},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2019.3},
  URN =		{urn:nbn:de:0030-drops-113616},
  doi =		{10.4230/LIPIcs.TIME.2019.3},
  annote =	{Keywords: Multiplayer games, Nash equilibria}
}
Document
Invited Talk
Admissibility in Games with Imperfect Information (Invited Talk)

Authors: Romain Brenguier, Arno Pauly, Jean-François Raskin, and Ocan Sankur

Published in: LIPIcs, Volume 85, 28th International Conference on Concurrency Theory (CONCUR 2017)


Abstract
In this invited paper, we study the concept of admissible strategies for two player win/lose infinite sequential games with imperfect information. We show that in stark contrast with the perfect information variant, admissible strategies are only guaranteed to exist when players have objectives that are closed sets. As a consequence, we also study decision problems related to the existence of admissible strategies for regular games as well as finite duration games.

Cite as

Romain Brenguier, Arno Pauly, Jean-François Raskin, and Ocan Sankur. Admissibility in Games with Imperfect Information (Invited Talk). In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 2:1-2:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{brenguier_et_al:LIPIcs.CONCUR.2017.2,
  author =	{Brenguier, Romain and Pauly, Arno and Raskin, Jean-Fran\c{c}ois and Sankur, Ocan},
  title =	{{Admissibility in Games with Imperfect Information}},
  booktitle =	{28th International Conference on Concurrency Theory (CONCUR 2017)},
  pages =	{2:1--2:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-048-4},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{85},
  editor =	{Meyer, Roland and Nestmann, Uwe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2017.2},
  URN =		{urn:nbn:de:0030-drops-78066},
  doi =		{10.4230/LIPIcs.CONCUR.2017.2},
  annote =	{Keywords: Admissibility, non-zero sum games, reactive synthesis, imperfect infor- mation}
}
Document
Admissibility in Quantitative Graph Games

Authors: Romain Brenguier, Guillermo A. Pérez, Jean-Francois Raskin, and Ocan Sankur

Published in: LIPIcs, Volume 65, 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)


Abstract
Admissibility has been studied for games of infinite duration with Boolean objectives. We extend here this study to games of infinite duration with quantitative objectives. First, we show that, under the assumption that optimal worst-case and cooperative strategies exist, admissible strategies are guaranteed to exist. Second, we give a characterization of admissible strategies using the notion of adversarial and cooperative values of a history, and we characterize the set of outcomes that are compatible with admissible strategies. Finally, we show how these characterizations can be used to design algorithms to decide relevant verification and synthesis problems.

Cite as

Romain Brenguier, Guillermo A. Pérez, Jean-Francois Raskin, and Ocan Sankur. Admissibility in Quantitative Graph Games. In 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 65, pp. 42:1-42:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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@InProceedings{brenguier_et_al:LIPIcs.FSTTCS.2016.42,
  author =	{Brenguier, Romain and P\'{e}rez, Guillermo A. and Raskin, Jean-Francois and Sankur, Ocan},
  title =	{{Admissibility in Quantitative Graph Games}},
  booktitle =	{36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)},
  pages =	{42:1--42:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-027-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{65},
  editor =	{Lal, Akash and Akshay, S. and Saurabh, Saket and Sen, Sandeep},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2016.42},
  URN =		{urn:nbn:de:0030-drops-68772},
  doi =		{10.4230/LIPIcs.FSTTCS.2016.42},
  annote =	{Keywords: Quantitative games, Verification, Reactive synthesis, Admissibility}
}
Document
Optimal Assumptions for Synthesis

Authors: Romain Brenguier

Published in: LIPIcs, Volume 59, 27th International Conference on Concurrency Theory (CONCUR 2016)


Abstract
Controller synthesis is the automatic construction a correct system from its specification. This often requires assumptions about the behaviour of the environment. It is difficult for the designer to identify the assumptions that ensures the existence of a correct controller, and doing so manually can lead to assumptions that are stronger than necessary. As a consequence the generated controllers are suboptimal in terms of robustness. In this work, given a specification, we identify the weakest assumptions that ensure the existence of a controller. We also consider two important classes of assumptions: the ones that can be ensured by the environment and assumptions that restricts only inputs of the systems. We show that optimal assumptions correspond to strongly winning strategies, admissible strategies and remorse-free strategies depending on the classes. Using these correspondences, we then propose an algorithm for computing optimal assumptions that can be ensured by the environment.

Cite as

Romain Brenguier. Optimal Assumptions for Synthesis. In 27th International Conference on Concurrency Theory (CONCUR 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 59, pp. 8:1-8:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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@InProceedings{brenguier:LIPIcs.CONCUR.2016.8,
  author =	{Brenguier, Romain},
  title =	{{Optimal Assumptions for Synthesis}},
  booktitle =	{27th International Conference on Concurrency Theory (CONCUR 2016)},
  pages =	{8:1--8:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-017-0},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{59},
  editor =	{Desharnais, Jos\'{e}e and Jagadeesan, Radha},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2016.8},
  URN =		{urn:nbn:de:0030-drops-61742},
  doi =		{10.4230/LIPIcs.CONCUR.2016.8},
  annote =	{Keywords: Controller synthesis, Parity games, Admissible strategies}
}
Document
Assume-Admissible Synthesis

Authors: Romain Brenguier, Jean-François Raskin, and Ocan Sankur

Published in: LIPIcs, Volume 42, 26th International Conference on Concurrency Theory (CONCUR 2015)


Abstract
In this paper, we introduce a novel rule for synthesis of reactive systems, applicable to systems made of n components which have each their own objectives. It is based on the notion of admissible strategies. We compare our novel rule with previous rules defined in the literature, and we show that contrary to the previous proposals, our rule define sets of solutions which are rectangular. This property leads to solutions which are robust and resilient. We provide algorithms with optimal complexity and also an abstraction framework.

Cite as

Romain Brenguier, Jean-François Raskin, and Ocan Sankur. Assume-Admissible Synthesis. In 26th International Conference on Concurrency Theory (CONCUR 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 42, pp. 100-113, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)


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@InProceedings{brenguier_et_al:LIPIcs.CONCUR.2015.100,
  author =	{Brenguier, Romain and Raskin, Jean-Fran\c{c}ois and Sankur, Ocan},
  title =	{{Assume-Admissible Synthesis}},
  booktitle =	{26th International Conference on Concurrency Theory (CONCUR 2015)},
  pages =	{100--113},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-91-0},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{42},
  editor =	{Aceto, Luca and de Frutos Escrig, David},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2015.100},
  URN =		{urn:nbn:de:0030-drops-53711},
  doi =		{10.4230/LIPIcs.CONCUR.2015.100},
  annote =	{Keywords: Multi-player games, controller synthesis, admissibility}
}
Document
Nash Equilibria in Concurrent Games with Büchi Objectives

Authors: Patricia Bouyer, Romain Brenguier, Nicolas Markey, and Michael Ummels

Published in: LIPIcs, Volume 13, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)


Abstract
We study the problem of computing pure-strategy Nash equilibria in multiplayer concurrent games with Büchi-definable objectives. First, when the objectives are Büchi conditions on the game, we prove that the existence problem can be solved in polynomial time. In a second part, we extend our technique to objectives defined by deterministic Büchi automata, and prove that the problem then becomes EXPTIME-complete. We prove PSPACE-completeness for the case where the Büchi automata are 1-weak.

Cite as

Patricia Bouyer, Romain Brenguier, Nicolas Markey, and Michael Ummels. Nash Equilibria in Concurrent Games with Büchi Objectives. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011). Leibniz International Proceedings in Informatics (LIPIcs), Volume 13, pp. 375-386, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


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@InProceedings{bouyer_et_al:LIPIcs.FSTTCS.2011.375,
  author =	{Bouyer, Patricia and Brenguier, Romain and Markey, Nicolas and Ummels, Michael},
  title =	{{Nash Equilibria in Concurrent Games with B\"{u}chi Objectives}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2011)},
  pages =	{375--386},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-34-7},
  ISSN =	{1868-8969},
  year =	{2011},
  volume =	{13},
  editor =	{Chakraborty, Supratik and Kumar, Amit},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2011.375},
  URN =		{urn:nbn:de:0030-drops-33340},
  doi =		{10.4230/LIPIcs.FSTTCS.2011.375},
  annote =	{Keywords: Concurrent games, Nash equilibria, B\"{u}chi Objectives}
}
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