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Nash equilibrium design and price-based coordination in hierarchical systems Cover

Nash equilibrium design and price-based coordination in hierarchical systems

Open Access
|Dec 2012

References

  1. Alpcan, T. and Pavel, L. (2009). Nash equilibrium design and optimization,,, pp. 164-170.
  2. Alpcan, T., Pavel, L. and Stefanovic, N. (2010). An optimization and control theoretic approach to noncooperative game design,.
  3. Arrow, K.J. and Hurwicz, L. (1977)., Cambridge University Press, New York, NY.
  4. Basar, T. and Olsder, G. J. (1999)., SIAM Classics in Applied Mathematics, SIAM, Philadelphia, PA.
  5. Bertsekas, D. and Ozdaglar, A. (2002). Pseudonormality and a Lagrange multiplier theory for constrained optimization,(2): 287-343.
  6. Chao, H. and Guo, X. (2002)., John Wiley & Sons, New York, NY.
  7. Clempner, J.B. and Poznyak, A.S. (2011). Convergence method, properties and computational complexity for Lyapunov games,(2): 349-361, DOI: 10.2478/v10006-011-0026-x.
  8. Cramton, P. (1997). The FCC spectrum auctions: An early assessment,(3): 431-495.
  9. Fiacco, A.V. and McCormick, G.P. (1990)., SIAM Classics in Applied Mathematics, SIAM, Philadelphia, PA.
  10. Findeisen, W. (1968). Parametric optimization by primal method in multilevel systems,(2): 155-164.
  11. Findeisen, W., Bailey, F.N., Brdys´, M., Malinowski, K., Tatjewski, P. and Woz´niak, A. (1980)., John Wiley & Sons, New York, NY.
  12. Findeisen, W., Brdys´, M., Malinowski, K., Tatjewski, P. and Wo z´ niak, A. (1978). On-line hierarchical control for steady-state systems,(2): 189-209.
  13. Fudenberg, D. and Tirole, J. (1991)., The MIT Press, Cambridge, MA.
  14. Green, J.R. and Laffont, J.-J. (1979)., North-Holland Publishing Company, Amsterdam.
  15. Grossman, S.J. and Stiglitz, J. (1980). On the impossibility of informationally efficient markets,(3): 393-408.
  16. Groves, T., Radner, R. and Reiter, S. (Eds.) (1987)., University of Minnesota Press, Mineapolis, MN.
  17. Hurwicz, L. (1977)., Studies in Resource Allocation Processes, Cambridge University Press, New York, NY, Chapter 4, pp. 425-459.
  18. Hurwicz, L. (1979). On allocations attainable through Nash equilibria,(1): 140-165.
  19. Hurwicz, L., Maskin, E. and Postlewaite, A. (1995). Feasible implementation of social choice correspondences by Nash equilibria,J.O. Ledyard (Ed.),, Kluwer Academic Publishers, Norwell, MA, pp. 367-433.
  20. Hurwicz, L. and Walker, M. (1990). On the generic nonoptimality of dominant-strategy allocation mechanisms: A general theorem that includes pure exchange economies,(3): 683-704.
  21. Jin, C., Wei, D., Low, S., Bunn, J., Choe, H., Doylle, J., Newman, H., Ravot, S., Singh, S. and Paganini, F. (2005). FAST TCP: From theory to experiments,(1): 4-11.
  22. Jofré, A., Rockafellar, R. and Wets, R. (2007). Variational inequalities and economic equilibrium,(1): 32.
  23. Johari, R. (2004)., Ph.D. thesis, MIT, Cambridge, MA.
  24. Johari, R., Mannor, S. and Tsitsiklis, J.N. (2005). Efficiency loss in a network resource allocation game: The case of elastic supply,(11): 1712-1724.
  25. Johari, R. and Tsitsiklis, J.N. (2004). Efficiency loss in a network resource allocation game,(3): 407-435.
  26. Johari, R. and Tsitsiklis, J.N. (2009). Efficiency of scalar-parameterized mechanisms,(4): 823-839.
  27. Kakutani, S. (1941). A generalization of Brouwer’s fixed point theorem,(3): 457-459.
  28. Karpowicz, M. (2010)., Ph.D. thesis, Warsaw University of Technology, Warsaw.
  29. Karpowicz, M. (2011). Designing auctions: A historical perspective,: 114-122.
  30. Kelly, F.P. (1997). Charging and rate control for elastic traffic,(1): 33-37.
  31. Kelly, F.P., Maulloo, A.K. and Tan, D.K. (1998). Rate control for communication networks: Shadow prices, proportional fairness, and stability,(3): 237-252.
  32. Kołodziej, J. and Xhafa, F. (2011). Modern approaches to modeling user requirements on resource and task allocation in hierarchical computational grids,(2): 243-257, DOI: 10.2478/v10006-011-0018-x.
  33. Krishna, V. (2002)., Academic Press, San Diego, CA.
  34. La, R.J. and Anantharam, V. (2000). Charge-sensitive TCP and rate control in the Internet,, pp. 1166-1175.
  35. Laffont, J.-J. and Martimort, D. (2002)., Princeton University Press, Princeton, NJ.
  36. Low, S.H. (2003). A duality model of TCP and queue management algorithms,(4): 525-536.
  37. Low, S.H. and Lapsley, D.E. (1999). Optimization flow control, I: Basic algorithm and convergence,(6): 861-874.
  38. Low, S., Paganini, F., Wang, J. and Doyle, J. (2003). Linear stability of TCP/RED and a scalable control,(5): 633-647.
  39. Low, S., Peterson, L. and Wang, L. (2002). Understanding TCP Vegas: A duality model,(2): 207-235.
  40. Lubacz, J. (Ed.) (2011)., WKŁ, Warsaw, (in Polish).
  41. Maheswaran, R. and Basar, T. (2004). Social welfare of selfish agents: Motivating efficiency for divisible resources,.
  42. Malinowski, K. (2002). Optimization network flow control and price coordination with feedback: Proposal of a new distributed algorithm,(11-12): 1028-1036.
  43. Mas-Colell, A., Whinston, M.D. and Green, J.R. (1995)., Oxford University Press, New York, NY.
  44. Maskin, E. (1999). Nash equilibrium and welfare optimality,(1): 23-38.
  45. Milgrom, P. (2004)., Cambridge University Press, New York, NY.
  46. Milgrom, P. and Weber, R. (1982). A theory of auctions and competitive bidding,(5): 1089-1122.
  47. Mo, J. and Walrand, J. (2000). Fair end-to-end window-based congestion control,(5): 556-567.
  48. Myerson, R.B. (1981). Optimal auction design,(1): 58-73.
  49. Myerson, R.B. (1991)., Harvard University Press, Cambridge, MA.
  50. Nash, J. (1950). Equilibrium points in n-person games,(1): 48-49.
  51. Nash, J. (1951). Non-cooperative games,(2): 289-295.
  52. Negishi, T. (1960). Welfare economics and existence of an equilibrium for a competitive economy,(2-3): 92-97.
  53. Ogryczak, W., Pióro, M. and Tomaszewski, A. (2005). Telecommunications network design and max-min optimization problem,: 43-56.
  54. Ogryczak, W., Wierzbicki, A. and Milewski, M. (2008). A multi-criteria approach to fair and efficient bandwidth allocation,(3): 451-463.
  55. Pióro, M. and Medhi, D. (2004)., Morgan Kaufmann, San Francisco, CA.
  56. Rockafellar, R.T. and Wets, R.J.-B. (2004)., A Series of Comprehensive Studies in Mathematics, Vol. 317, Springer-Verlag, Berlin/Heidelberg.
  57. Rosen, J.B. (1965). Existence and uniqueness of equilibrium points for concave n-person games,(3): 520-534.
  58. Rotschild, M. and Stiglitz, J. (1976). Equilibrium in competitive insurance markets: An essay on the economics of imperfect information,(4): 630-649.
  59. Sen, A. (1969). Quasi-transitivity, rational choice and collective decisions,(107): 381-93.
  60. Sen, A. (1970). Interpersonal aggregation and partial comparability,(3): 393-409.
  61. Sen, A. (1977). On weights and measures: Informational constraints in social welfare,(7): 1539-1572.
  62. Srikant, R. (2003)., Birkhäuser, Boston, MA.
  63. Stallings, W. (1998)., Prentice Hall, Upper Saddle River, NJ.
  64. Stiglitz, J. (2000). The contributions of the economics of information to twentieth century economics,(4): 1441-1478.
  65. Uzawa, H. (1960). Market mechanisms and mathematical programming,(4): 872-881.
  66. Vickrey, W. (1961). Counterspeculation, auctions and competitive sealed tenders,(1): 8-37.
  67. Wei, D.X., Jin, C., Low, S.H. and Hegde, S. (2006). FAST TCP: Motivation, architecture, algorithms, performance,(6): 1246-1259.
  68. Wierzbicki, A. P., Makowski, M. and Wessels, J. (2001)., Kluwer Academic Publishers, Dordrecht.
  69. Yang, S. and Hajek, B. (2005). Revenue and stability of a mechanism for efficient allocation of a divisible good, Mimeo, University of Illinois, Urbana-Champaign, IL.
  70. Yang, S. and Hajek, B. (2007). VCG-Kelly mechanisms for allocation of divisible goods: Adapting VCG mechanisms to one-dimensional signals,(6): 1237-1243.
DOI: https://doi.org/10.2478/v10006-012-0071-0 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 951 - 969
Published on: Dec 28, 2012
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2012 Michał P. Karpowicz, published by University of Zielona Góra
This work is licensed under the Creative Commons License.