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Coordination Games on Graphs (Extended Abstract)

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Part of the Lecture Notes in Computer Science book series (LNISA,volume 8877)

Abstract

We introduce natural strategic games on graphs, which capture the idea of coordination in a local setting. We show that these games have an exact potential and have strong equilibria when the graph is a pseudoforest. We also exhibit some other classes of graphs for which a strong equilibrium exists. However, in general strong equilibria do not need to exist. Further, we study the (strong) price of stability and anarchy. Finally, we consider the problems of computing strong equilibria and of determining whether a joint strategy is a strong equilibrium.

Keywords

  • Nash Equilibrium
  • Coordination Game
  • Graph Class
  • Congestion Game
  • Strategic Game

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Apt, K.R., Rahn, M., Schäfer, G., Simon, S. (2014). Coordination Games on Graphs (Extended Abstract). In: Liu, TY., Qi, Q., Ye, Y. (eds) Web and Internet Economics. WINE 2014. Lecture Notes in Computer Science, vol 8877. Springer, Cham. https://doi.org/10.1007/978-3-319-13129-0_37

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  • DOI: https://doi.org/10.1007/978-3-319-13129-0_37

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13128-3

  • Online ISBN: 978-3-319-13129-0

  • eBook Packages: Computer ScienceComputer Science (R0)