Avoiding the braess paradox in non-cooperative networks

Journal of Applied Probability

Volumn 36, Issue 1, 1999, Pages 211-222

  Korilis, Yannis A ^a   Lazar, Aurel A ^b   Orda, Ariel ^c  

^a LUCENT TECHNOLOGIES   (United States)

^b Department of Biomedical Engineering   (United States)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Braess Paradox; Computer communication networks; Non cooperative games; Routeing

Indexed keywords

EID: 85037920921     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1032374242     Document Type: Article

References (19)

1. Altman, E. (1994). Flow control using the theory of Zero-Sum Markov games. IEEE Trans. Automatic Control 39, 814-818.
2. Bean, N. G., Kelly, F. P. and Taylor, P. G. (1997). Braess’ paradox in a loss network. J. Appl. Prob. 34, 155-159.
3. Ben-Israel, A., Ben-Tal, A. and Zlobec, S. (1981). Optimality in Nonlinear Programming: a Feasible Directions Approach. Wiley, New York.
4. Bertsekas, D. and Gallager, R. (1992). Data Networks, 2nd edn. Prentice-Hall, Englewood Cliffs, NJ.
5. Cohen, J. E. and Kelly, F. P. (1990). A paradox of congestion in a queuing network. J. Appl. Prob. 27, 730-734.
6. Cohen, J. E. and Horwitz, P. (1991). Paradoxical behaviour of mechanical and electrical networks. Nature 352, 699-701.
7. Cohen, J. E. and Jeffries, C. (1997). Congestion resulting from increased capacity in single-server queueing networks. IEEE/ACM Trans. Networking 5, 305-310.
8. Dafermos, S. and Nagurney, A. (1984). On some traffic equilibrium theory paradoxes. Transportation Research B 18, 101-110.
9. Dubey, P. (1986). Inefficiency ofNash equilibria. Math. Operat. Res. 11, 1-8.
10. Glance, N. S. and Hogg, T. (1995). Dilemmas in computational societies. In Proc. 1st International Conference on Multiagent Systems, San Francisco, CA, June 1995, pp. 117-124.
11. Irvine, A. D. (1993). How Braess’ paradox solves Newcomb’s problem. Internat. Stud. Philos. Sci. 7, 141-160.
12. Korilis, Y. A., Lazar, A. A. and Orda, A. (1995). Architecting non-cooperative networks. IEEE J. Sei. Areas Commun. 13, 1241-1251.
13. Korilis, Y. a., Lazar, A. A. and Orda, A. (1997). Achieving network optima using Stackelberg routing strategies. IEEE/ACM Trans. Networking 5, 161-173.
14. Korilis, Y. a., Lazar, A. A. and Orda, A. (1997). Capacity allocation under non-cooperative routing. IEEE Trans. Automatic Control 42, 309-325.
15. Luenberger, D. G. (1984). Linear and Nonlinear Programming, 2nd edn. Addison Wesley, Reading, MA.
16. Myerson, R. B. (1991). Game Theory: Analysis of Conflict. Harvard University Press, Cambridge, MA.
17. Nicholson, W. (1994). Intermediate Microeconomics and its Applications, 6th edn. Dryden Press, Fort Worth, TX.
18. Orda, A., Rom, R. and Shimkin, N. (1993). Competitive routing in multiuser communication networks. IEEE/ACM Trans. Networking 1, 510-521.
19. Zhang, Z. and Douligeris, C. (1992). Convergence of synchronous and asynchronous greedy algorithms in a multiclass telecommunications environment. IEEE Trans. Commun. 40, 1277-1281.