Dynamic Atomic Congestion Games with Seasonal Flows

Published Online:https://doi.org/10.1287/opre.2017.1683

References

  • Ahuja RK, Magnanti TL, Orlin JB (1993) Network Flows. Theory, Algorithms, and Applications (Prentice Hall, Inc., Englewood Cliffs, NJ).Google Scholar
  • Akamatsu T (2000) A dynamic traffic equilibrium assignment paradox. Transportation Res. Part B 34(6):515–531.CrossrefGoogle Scholar
  • Akamatsu T (2001) An efficient algorithm for dynamic traffic equilibrium assignment with queues. Transportation Sci. 35(4):389–404.LinkGoogle Scholar
  • Akamatsu T, Heydecker B (2003) Detecting dynamic traffic assignment capacity paradoxes in saturated networks. Transportation Sci. 37(2):123–138.LinkGoogle Scholar
  • Anshelevich E, Ukkusuri S (2009) Equilibria in dynamic selfish routing. Mavronicolas M, Papadopoulou VG, eds. Algorithmic Game Theory, Vol. 5814 (Springer, Berlin), 171–182.CrossrefGoogle Scholar
  • Anshelevich E, Dasgupta A, Kleinberg J, Tardos É, Wexler T, Roughgarden T (2008) The price of stability for network design with fair cost allocation. SIAM J. Comput. 38(4):1602–1623.CrossrefGoogle Scholar
  • Bhaskar U, Fleischer L, Anshelevich E (2015a) A Stackelberg strategy for routing flow over time. Games Econom. Behav. 92:232–247.CrossrefGoogle Scholar
  • Bhaskar U, Fleischer L, Huang CC (2010) The price of collusion in series-parallel networks. Integer Programming and Combinatorial Optimization. Lecture Notes in Computer Science, Vol. 6080 (Springer, Berlin).CrossrefGoogle Scholar
  • Bhaskar U, Fleischer L, Hoy D, Huang CC (2015b) On the uniqueness of equilibrium in atomic splittable routing games. Math. Oper. Res. 40(3):634–654.LinkGoogle Scholar
  • Braess D (1968) Über ein Paradoxon aus der Verkehrsplanung. Unternehmensforschung 12:258–268.Google Scholar
  • Braess D, Nagurney A, Wakolbinger T (2005) On a paradox of traffic planning. Transportation Sci. 39(4):446–450.LinkGoogle Scholar
  • Cao Z, Chen B, Chen X, Wang C (2017) A network game of dynamic traffic. Proc. 2017 ACM Conf. Econom. Computat., EC ’17 (ACM, New York), 695–696.Google Scholar
  • Charnes A, Cooper WW (1961) Multicopy traffic network models. Herman R, ed. Theory of Traffic Flow (Elsevier, Amsterdam),85–96.Google Scholar
  • Cominetti R (2015) Equilibrium routing under uncertainty. Math. Programming 151(1, Ser. B):117–151.CrossrefGoogle Scholar
  • Cominetti R, Correa J, Larré O (2015) Dynamic equilibria in fluid queueing networks. Oper. Res. 63(1):21–34.LinkGoogle Scholar
  • Cominetti R, Correa J, Olver N (2017) Long term behavior of dynamic equilibria in fluid queuing networks. Eisenbrand F, Könemann J, eds. Proc. 19th Internat. Conf. Integer Programming Combinatorial Optimization, IPCO ’17. Lecture Notes in Computer Science, Vol. 10328 (Springer International, Cham, Switzerland), 161–172.Google Scholar
  • Correa JR, Stier-Moses NE (2011) Wardrop equilibria. Cochran JJ, Cox LA, Keskinocak P, Kharoufeh JP, Smith JC, eds. Wiley Encyclopedia of Operations Research and Management Science (John Wiley & Sons, Hoboken, NJ).CrossrefGoogle Scholar
  • Correa JR, Schulz AS, Stier-Moses NE (2004) Selfish routing in capacitated networks. Math. Oper. Res. 29(4):961–976.LinkGoogle Scholar
  • Correa JR, Schulz AS, Stier-Moses NE (2007) Fast, fair, and efficient flows in networks. Oper. Res. 55(2):215–225.LinkGoogle Scholar
  • Correa JR, Schulz AS, Stier-Moses NE (2008) A geometric approach to the price of anarchy in nonatomic congestion games. Games Econom. Behav. 64(2):457–469.CrossrefGoogle Scholar
  • Daganzo CF (1998) Queue spillovers in transportation networks with a route choice. Transportation Sci. 32(1):3–11.LinkGoogle Scholar
  • Farzad B, Olver N, Vetta A (2008) A priority-based model of routing. Chicago J. Theoret. Comput. Sci. Article 1, 29.CrossrefGoogle Scholar
  • Fleischer L, Tardos É (1998) Efficient continuous-time dynamic network flow algorithms. Oper. Res. Lett. 23(3–5):71–80.CrossrefGoogle Scholar
  • Ford LR Jr, Fulkerson DR (1958) Constructing maximal dynamic flows from static flows. Oper. Res. 6(3):419–433.LinkGoogle Scholar
  • Ford LR Jr, Fulkerson DR (1962) Flows in Networks (Princeton University Press, Princeton, NJ).CrossrefGoogle Scholar
  • Gale D (1959) Transient flows in networks. Michigan Math. J. 6(1):59–63.CrossrefGoogle Scholar
  • Harker PT (1988) Multiple equilibrium behaviors on networks. Transportation Sci. 22(1):39–46.LinkGoogle Scholar
  • Harks T, Végh LA (2007) Nonadaptive selfish routing with online demands. Janssen J, Prałat P, eds. Combinatorial and Algorithmic Aspects of Networking. Lecture Notes in Computer Science, Vol. 4852 (Springer, Berlin), 27–45.CrossrefGoogle Scholar
  • Harks T, Heinz S, Pfetsch ME (2009) Competitive online multicommodity routing. Theory Comput. Systems 45(3):533–554.CrossrefGoogle Scholar
  • Haurie A, Marcotte P (1985) On the relationship between Nash-Cournot and Wardrop equilibria. Networks 15(3):295–308.CrossrefGoogle Scholar
  • Hendrickson C, Kocur G (1981) Schedule delay and departure time decisions in a deterministic model. Transportation Sci. 15(1):62–77.LinkGoogle Scholar
  • Hoefer M, Mirrokni VS, Röglin H, Teng SH (2011) Competitive routing over time. Theoret. Comput. Sci. 412(39):5420–5432.CrossrefGoogle Scholar
  • Hoppe B, Tardos É (2000) The quickest transshipment problem. Math. Oper. Res. 25(1):36–62.LinkGoogle Scholar
  • Jarvis JJ, Ratliff HD (1982) Some equivalent objectives for dynamic network flow problems. Management Sci. 28(1):106–109.LinkGoogle Scholar
  • Koch R (2012) Routing games over time. Ph.D. thesis, Technische Universität Berlin.Google Scholar
  • Koch R, Skutella M (2011) Nash equilibria and the price of anarchy for flows over time. Theory Comput. Syst. 49(1):71–97.CrossrefGoogle Scholar
  • Koch R, Nasrabadi E, Skutella M (2011) Continuous and discrete flows over time: A general model based on measure theory. Math. Methods Oper. Res. 73(3):301–337.CrossrefGoogle Scholar
  • Korte B, Vygen J (2012) Combinatorial Optimization, 5th ed. (Springer, Heidelberg).CrossrefGoogle Scholar
  • Koutsoupias E, Papadimitriou C (1999) Worst-case equilibria. STACS 99 (Trier). Lecture Notes in Computer Science, Vol. 1563 (Springer, Berlin), 404–413.CrossrefGoogle Scholar
  • Macko M, Larson K, Steskal L (2013) Braess’s paradox for flows over time. Theory Comput. Systems 53(1):86–106.CrossrefGoogle Scholar
  • Milchtaich I (2006) Network topology and the efficiency of equilibrium. Games Econom. Behav. 57(2):321–346.CrossrefGoogle Scholar
  • Minieka E (1973) Maximal, lexicographic, and dynamic network flows. Oper. Res. 21(2):517–527.LinkGoogle Scholar
  • Monderer D, Shapley LS (1996) Potential games. Games Econom. Behav. 14(1):124–143.CrossrefGoogle Scholar
  • Mounce R (2006) Convergence in a continuous dynamic queueing model for traffic networks. Transportation Res. Part B 40(9):779–791.CrossrefGoogle Scholar
  • Mounce R (2007) Convergence to equilibrium in dynamic traffic networks when route cost is decay monotone. Transportation Sci. 41(3):409–414.LinkGoogle Scholar
  • Papadimitriou C (2001) Algorithms, games, and the Internet. Vitter JS, Spirakis PG, Yannakakis M, eds. Proc. 33rd Annual ACM Sympos. Theory Comput., STOC ’01 (ACM, New York), 749–753.Google Scholar
  • Philpott AB (1990) Continuous-time flows in networks. Math. Oper. Res. 15(4):640–661.LinkGoogle Scholar
  • Rosenthal RW (1973) A class of games possessing pure-strategy Nash equilibria. Internat. J. Game Theory 2:65–67.CrossrefGoogle Scholar
  • Roughgarden T (2005) Selfish Routing and the Price of Anarchy (MIT Press, Cambridge, MA).Google Scholar
  • Roughgarden T (2006) On the severity of Braess’s Paradox: Designing networks for selfish users is hard. J. Comput. System Sci. 72(5):922–953.CrossrefGoogle Scholar
  • Roughgarden T, Tardos É (2002) How bad is selfish routing? J. ACM 49(2):236–259.CrossrefGoogle Scholar
  • Roughgarden T, Tardos É (2004) Bounding the inefficiency of equilibria in nonatomic congestion games. Games Econom. Behav. 47(2):389–403.CrossrefGoogle Scholar
  • Roughgarden T, Tardos É (2007) Introduction to the inefficiency of equilibria. Algorithmic Game Theory (Cambridge University Press, Cambridge, UK), 443–459.CrossrefGoogle Scholar
  • Schrijver A (2003) Combinatorial Optimization. Polyhedra and Efficiency (Springer, Berlin).Google Scholar
  • Schulz AS, Stier Moses N (2003) On the performance of user equilibria in traffic networks. Proc. Fourteenth Annual ACM-SIAM Sympos. Discrete Algorithms, SODA ’03 (ACM, New York), 86–87.Google Scholar
  • Shah D, Shin J (2010) Dynamics in congestion games. Proc. ACM SIGMETRICS Internat. Conf. Measurement and Modeling of Comput. Systems—SIGMETRICS ’10 ( ACM, New York).Google Scholar
  • Skutella M (2009) An introduction to network flows over time. Research Trends in Combinatorial Optimization (Springer, Berlin), 451–482.CrossrefGoogle Scholar
  • Tekin C, Liu M, Southwell R, Huang J, Ahmad SHA (2012) Atomic congestion games on graphs and their applications in networking. IEEE/ACM Trans. Networks 20(5):1541–1552.CrossrefGoogle Scholar
  • Vickrey WS (1969) Congestion theory and transport investment. Amer. Econom. Rev. 59(2):251–260.Google Scholar
  • Wardrop JG (1952) Some theoretical aspects of road traffic research. Proc. Inst. Civil Engineers, 1(3):325–378.Google Scholar
  • Werth TL, Holzhauser M, Krumke SO (2014) Atomic routing in a deterministic queuing model. Oper. Res. Perspect. 1(1):18–41.CrossrefGoogle Scholar
  • Wilkinson WL (1971) An algorithm for universal maximal dynamic flows in a network. Oper. Res. 19(7):1602–1612.LinkGoogle Scholar
  • Xia Y, Hill D (2013) Dynamic Braess’s paradox in complex communication networks. IEEE Trans. Circuits and Systems II: Express Briefs 60(3):172–176.CrossrefGoogle Scholar
  • Yagar S (1971) Dynamic traffic assignment by individual path minimization and queuing. Transportation Res. 5(3):179–196.CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.