Dynamics on Games: Simulation-Based Techniques and Applications to Routing

Authors Thomas Brihaye, Gilles Geeraerts, Marion Hallet, Benjamin Monmege , Bruno Quoitin

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Author Details

Thomas Brihaye
  • Université de Mons, Mons, Belgium
Gilles Geeraerts
  • Université libre Bruxelles, Brussels, Belgium
Marion Hallet
  • Université de Mons, Mons, Belgium, Université libre Bruxelles, Brussels, Belgium
Benjamin Monmege
  • Aix Marseille Univ, CNRS, LIS, Université de Toulon, France
Bruno Quoitin
  • Université de Mons, Mons, Belgium


We thank Timothy Griffin and Marco Chiesa for fruitful discussions.

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Thomas Brihaye, Gilles Geeraerts, Marion Hallet, Benjamin Monmege, and Bruno Quoitin. Dynamics on Games: Simulation-Based Techniques and Applications to Routing. In 39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 150, pp. 35:1-35:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


We consider multi-player games played on graphs, in which the players aim at fulfilling their own (not necessarily antagonistic) objectives. In the spirit of evolutionary game theory, we suppose that the players have the right to repeatedly update their respective strategies (for instance, to improve the outcome w.r.t. the current strategy profile). This generates a dynamics in the game which may eventually stabilise to an equilibrium. The objective of the present paper is twofold. First, we aim at drawing a general framework to reason about the termination of such dynamics. In particular, we identify preorders on games (inspired from the classical notion of simulation between transitions systems, and from the notion of graph minor) which preserve termination of dynamics. Second, we show the applicability of the previously developed framework to interdomain routing problems.

Subject Classification

ACM Subject Classification
  • Theory of computation → Algorithmic game theory
  • games on graphs
  • dynamics
  • simulation
  • network


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