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Network structure and strong equilibrium in route selection games

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  • Holzman, Ron
  • Law-yone (Lev-tov), Nissan

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  • Holzman, Ron & Law-yone (Lev-tov), Nissan, 2003. "Network structure and strong equilibrium in route selection games," Mathematical Social Sciences, Elsevier, vol. 46(2), pages 193-205, October.
    • Handle: RePEc:eee:matsoc:v:46:y:2003:i:2:p:193-205
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    References listed on IDEAS

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    1. Hideo Konishi, 2004. "Uniqueness of User Equilibrium in Transportation Networks with Heterogeneous Commuters," Transportation Science, INFORMS, vol. 38(3), pages 315-330, August.
    2. Hohzaki, Ryusuke & Iida, Koji, 1997. "Optimal strategy of route and look for the path constrained search problem with reward criterion," European Journal of Operational Research, Elsevier, vol. 100(1), pages 236-249, July.
    3. Igal Milchtaich, 2000. "Generic Uniqueness of Equilibrium in Large Crowding Games," Mathematics of Operations Research, INFORMS, vol. 25(3), pages 349-364, August.
    4. Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October.
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    Cited by:

    1. Kuniavsky, Sergey & Smorodinsky, Rann, 2013. "Greediness and equilibrium in congestion games," Economics Letters, Elsevier, vol. 121(3), pages 499-503.
    2. Satoru Fujishige & Michel X. Goemans & Tobias Harks & Britta Peis & Rico Zenklusen, 2017. "Matroids Are Immune to Braess’ Paradox," Mathematics of Operations Research, INFORMS, vol. 42(3), pages 745-761, August.
    3. Xujin Chen & Zhuo Diao & Xiaodong Hu, 2022. "On weak Pareto optimality of nonatomic routing networks," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1705-1723, October.
    4. Marco Scarsini & Tristan Tomala, 2012. "Repeated congestion games with bounded rationality," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 651-669, August.
    5. Macault, Emilien & Scarsini, Marco & Tomala, Tristan, 2022. "Social learning in nonatomic routing games," Games and Economic Behavior, Elsevier, vol. 132(C), pages 221-233.
    6. Igal Milchtaich, 2015. "Network topology and equilibrium existence in weighted network congestion games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 515-541, August.
    7. Kukushkin, Nikolai S., 2017. "Strong Nash equilibrium in games with common and complementary local utilities," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 1-12.
    8. Xujin Chen & Zhuo Diao & Xiaodong Hu, 0. "On weak Pareto optimality of nonatomic routing networks," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-19.
    9. Epstein, Amir & Feldman, Michal & Mansour, Yishay, 2009. "Efficient graph topologies in network routing games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 115-125, May.
    10. T. Werth & H. Sperber & S. Krumke, 2014. "Computation of equilibria and the price of anarchy in bottleneck congestion games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(4), pages 687-712, December.
    11. Igal Milchtaich, 2021. "Internalization of social cost in congestion games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 717-760, March.
    12. Andelman, Nir & Feldman, Michal & Mansour, Yishay, 2009. "Strong price of anarchy," Games and Economic Behavior, Elsevier, vol. 65(2), pages 289-317, March.
    13. Yannai A. Gonczarowski & Moshe Tennenholtz, 2014. "Noncooperative Market Allocation and the Formation of Downtown," Discussion Paper Series dp663, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    14. Epstein, Amir & Feldman, Michal & Mansour, Yishay, 2009. "Strong equilibrium in cost sharing connection games," Games and Economic Behavior, Elsevier, vol. 67(1), pages 51-68, September.
    15. Kazuo Murota, 2016. "Discrete convex analysis: A tool for economics and game theory," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 151-273, December.
    16. Yannai A. Gonczarowski & Moshe Tennenholtz, 2014. "Cascading to Equilibrium: Hydraulic Computation of Equilibria in Resource Selection Games," Discussion Paper Series dp673, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    17. Ron Holzman & Dov Monderer, 2015. "Strong equilibrium in network congestion games: increasing versus decreasing costs," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 647-666, August.
    18. Milchtaich, Igal, 2006. "Network topology and the efficiency of equilibrium," Games and Economic Behavior, Elsevier, vol. 57(2), pages 321-346, November.

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