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Equilibrium Networks

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Encyclopedia of Optimization
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A Multimodal Traffic Network Equilibrium Model

A Migration Network Equilibrium Model

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References

  1. Aashtiani HZ, Magnanti TL (1981) Equilibria on a congested transportation network. SIAM J Alg Discrete Meth 2:213–226

    Article  MATH  MathSciNet  Google Scholar 

  2. Beckmann MJ, McGuire CB, Winsten CB (1956) Studies in the economics of transportation. Yale Univ. Press, New Haven, CT

    Google Scholar 

  3. Dafermos S (1980) Traffic equilibrium and variational inequalities. Transport Sci 14:43–54

    MathSciNet  Google Scholar 

  4. Dafermos S (1982) The general multimodal network equilibrium problem with elastic demand. Networks 14:43–54

    MathSciNet  Google Scholar 

  5. Dafermos S (1990) Exchange price equilibria and variational inequalities. Math Program 46:391–402

    Article  MATH  MathSciNet  Google Scholar 

  6. Dafermos S, Nagurney A (1984) Stability and sensitivity analysis for the general network equilibrium-travel choice model. In: Volmuller J, Hamerslag R (eds) Proc. 9th Internat. Symp. Transportation and Traffic Theory, VNU Sci. Press, Utrecht, pp 217–234

    Google Scholar 

  7. Dafermos S, Nagurney A (1987) Oligopolistic and competitive behavior of spatially separated markets. Regional Sci and Urban Economics 17:245–254

    Article  Google Scholar 

  8. Dafermos S, Sparrow FT (1969) The traffic assignment problem for a general network. J Res Nat Bureau Standards 73B:91–118

    MathSciNet  Google Scholar 

  9. Enke S (1951) Equilibrium among spatially separated markets: solution by electronic analogue. Econometrica 10:40–47

    Article  Google Scholar 

  10. Florian M, Hearn D (1995) Network equilibrium models and algorithms. In: Ball MO, Magnanti TL, Monma CL, Nemhauser GL (eds) Network Routing. Handbook Oper Res and Management Sci. Elsevier, Amsterdam, pp 485–550

    Google Scholar 

  11. Florian M, Los M (1982) A new look at static spatial price equilibrium models. Regional Sci and Urban Economics 12:579–597

    Article  Google Scholar 

  12. Gabay D, Moulin H (1980) On the uniqueness and stability of Nash-equilibria in noncooperative games. In: Bensoussan A, Kleindorfer P, Tapiero CS (eds) Applied Stochastic Control in Econometrics and Management Science. North-Holland, Amsterdam, 271–294

    Google Scholar 

  13. Haurie A, Marcotte P (1985) On the relationship between Nash-Cournot and Wardrop equilibria. Networks 15:295–308

    Article  MATH  MathSciNet  Google Scholar 

  14. Kinderleher D, Stampacchia G (1980) An introduction to variational inequalities and their applications. Acad. Press, New York

    Google Scholar 

  15. Nagurney A (1987) Computational comparisons of spatial price equilibrium methods. J Reg Sci 27:55–76

    Article  Google Scholar 

  16. Nagurney A (1989) Migration equilibrium and variational inequalities. Economics Lett 31:109–112

    Article  Google Scholar 

  17. Nagurney A (1999) Network economics: A variational inequality approach, 2nd edn. Kluwer, Dordrecht

    Google Scholar 

  18. Nagurney A, Pan J, Zhao L (1991) Human migration networks. Europ J Oper Res

    Google Scholar 

  19. Patriksson M (1994) The traffic assignment problem. VSP, Utrecht

    Google Scholar 

  20. Samuelson PA (1952) A spatial price equilibrium and linear programming. Amer Economic Rev 42:283–303

    Google Scholar 

  21. Sheffi Y (1985) Urban transportation networks. Prentice-Hall, Englewood Cliffs, NJ

    Google Scholar 

  22. Smith MJ (1979) The existence, uniqueness, and stability of traffic equilibria. Transport Res 13B:259–304

    Google Scholar 

  23. Wardrop JG (1952) Some theoretical aspects of road traffic research. Proc Inst Civil Engineers II:325–378

    Google Scholar 

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© 2008 Springer-Verlag

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Nagurney, A. (2008). Equilibrium Networks . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_163

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