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Three Selfish Spanning Tree Games

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Internet and Network Economics (WINE 2008)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 5385))

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Abstract

We study a problem in a network. The input is an edge-weighted graph G = (V,E) such that V contains a specific source node r. Every v ∈ V ∖ {r} is an entity which wants to be connected to r either directly or via other entities. The main question is how do the entities deviate from a socially optimal network if they are not monitored by a central authority. We provide theoretical bounds on the (strong) price of anarchy of this game. In particular, three variants – each of them being motivated by a practical situation – are studied.

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References

  1. Albers, S.: On the value of coordination in network design. In: Proc. of SODA 2008, pp. 294–303 (2008)

    Google Scholar 

  2. Andelman, N., Feldman, M., Mansour, Y.: Strong price of anarchy. In: Proc. of SODA 2007, pp. 189–198 (2007)

    Google Scholar 

  3. Anshelevich, E., Dasgupta, A., Kleinberg, J.M., Tardos, É., Wexler, T., Roughgarden, T.: The Price of Stability for Network Design with Fair Cost Allocation. In: Proc. of FOCS 2004, pp. 295–304 (2004)

    Google Scholar 

  4. Aumann, R.: Acceptable points in general cooperative n-person games. In: Contribution to the Theory of Games. Annals of Mathematics Studies 40, vol. IV, pp. 287–324 (1959)

    Google Scholar 

  5. Bird, C.G.: On cost allocation for a spanning tree: A game theory approach. Networks 6, 335–350 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  6. Claus, A., Kleitman, D.: Cost allocation for a spanning tree. Networks 3, 289–304 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  7. Eidenbenz, S., Kumar, V.S.A., Zust, S.: Equilibria in topology control games for ad hoc networks. In: Proc. of DIALM-POMC, pp. 2–11 (2003)

    Google Scholar 

  8. Fabrikant, A., Luthra, A., Maneva, E.N., Papadimitriou, C.H., Shenker, S.: On a network creation game. In: Proc. of PODC 2003, pp. 347–351 (2003)

    Google Scholar 

  9. Granot, D., Huberman, G.: Minimum cost spanning tree games. Mathematical Programming 21, 1–18 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  10. Granot, D., Huberman, G.: On the core and nucleolus of minimum cost spanning tree games. Mathematical Programming 29, 323–347 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  11. Holzman, R., Law-Yone, N.: Strong Equilibrium in Congestion Games. Games and economic behavior 21, 85–101 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  12. Koutsoupias, E., Papadimitriou, C.H.: Worst Case Equilibria. In: Meinel, C., Tison, S. (eds.) STACS 1999. LNCS, vol. 1563, pp. 404–413. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  13. Rajaraman, R.: Topology control and routing in ad hoc networks: a survey. SIGACT News 33, 60–73 (2002)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. CNRS, UMR 7024, F-75775, Paris, France

    Laurent Gourvès & Jérôme Monnot

  2. Université de Paris-Dauphine, LAMSADE, F-75775, Paris, France

    Laurent Gourvès & Jérôme Monnot

Authors
  1. Laurent Gourvès
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  2. Jérôme Monnot
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Editor information

Editors and Affiliations

  1. Computer Science Division, University of California at Berkeley, Berkeley, CA, USA

    Christos Papadimitriou

  2. Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

    Shuzhong Zhang

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Gourvès, L., Monnot, J. (2008). Three Selfish Spanning Tree Games. In: Papadimitriou, C., Zhang, S. (eds) Internet and Network Economics. WINE 2008. Lecture Notes in Computer Science, vol 5385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92185-1_52

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  • DOI: https://doi.org/10.1007/978-3-540-92185-1_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92184-4

  • Online ISBN: 978-3-540-92185-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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