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On the geometry of Nash equilibria and correlated equilibria

Publication ,  Journal Article
Nau, R; Canovas, SG; Hansen, P
Published in: International Journal of Game Theory
January 1, 2004

It is well known that the set of correlated equilibrium distributions of an n-player noncooperative game is a convex polytope that includes all the Nash equilibrium distributions. We demonstrate an elementary yet surprising result: the Nash equilibria all lie on the boundary of the polytope.

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Published In

International Journal of Game Theory

DOI

ISSN

0020-7276

Publication Date

January 1, 2004

Volume

32

Issue

4

Start / End Page

443 / 453

Related Subject Headings

  • Economic Theory
  • 1401 Economic Theory
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

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Nau, R., Canovas, S. G., & Hansen, P. (2004). On the geometry of Nash equilibria and correlated equilibria. International Journal of Game Theory, 32(4), 443–453. https://doi.org/10.1007/s001820300162
Nau, R., S. G. Canovas, and P. Hansen. “On the geometry of Nash equilibria and correlated equilibria.” International Journal of Game Theory 32, no. 4 (January 1, 2004): 443–53. https://doi.org/10.1007/s001820300162.
Nau R, Canovas SG, Hansen P. On the geometry of Nash equilibria and correlated equilibria. International Journal of Game Theory. 2004 Jan 1;32(4):443–53.
Nau, R., et al. “On the geometry of Nash equilibria and correlated equilibria.” International Journal of Game Theory, vol. 32, no. 4, Jan. 2004, pp. 443–53. Scopus, doi:10.1007/s001820300162.
Nau R, Canovas SG, Hansen P. On the geometry of Nash equilibria and correlated equilibria. International Journal of Game Theory. 2004 Jan 1;32(4):443–453.
Journal cover image

Published In

International Journal of Game Theory

DOI

ISSN

0020-7276

Publication Date

January 1, 2004

Volume

32

Issue

4

Start / End Page

443 / 453

Related Subject Headings

  • Economic Theory
  • 1401 Economic Theory
  • 0104 Statistics
  • 0102 Applied Mathematics