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Dynamics in Network Interaction Games

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Distributed Computing (DISC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5805))

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Abstract

We study the convergence times of dynamics in games involving graphical relationships of players. Our model of local interaction games generalizes a variety of recently studied games in game theory and distributed computing. In a local interaction game each agent is a node embedded in a graph and plays the same 2-player game with each neighbor. He can choose his strategy only once and must apply his choice in each game he is involved in. This represents a fundamental model of decision making with local interaction and distributed control. Furthermore, we introduce a generalization called 2-type interaction games, in which one 2-player game is played on edges and possibly another game is played on non-edges. For the popular case with symmetric 2 ×2 games, we show that several dynamics converge in polynomial time. This includes arbitrary sequential better response dynamics, as well as concurrent dynamics resulting from a distributed protocol that does not rely on global knowledge. We supplement these results with an experimental comparison of sequential and concurrent dynamics.

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Author information

Authors and Affiliations

  1. Department of Computer Science, RWTH Aachen University, Germany

    Martin Hoefer

  2. Yahoo! Research, New York, USA

    Siddharth Suri

Authors
  1. Martin Hoefer
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  2. Siddharth Suri
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, The Technion – Israel Institute of Technology, 32000, Haifa, Israel

    Idit Keidar

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© 2009 Springer-Verlag Berlin Heidelberg

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Hoefer, M., Suri, S. (2009). Dynamics in Network Interaction Games. In: Keidar, I. (eds) Distributed Computing. DISC 2009. Lecture Notes in Computer Science, vol 5805. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04355-0_31

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  • DOI: https://doi.org/10.1007/978-3-642-04355-0_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04354-3

  • Online ISBN: 978-3-642-04355-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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