On Nash stationary points

Gábor Kassay, József Kolumbán, Z. Páles

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

In this paper we introduce the notions of weak and strong Nash stationary points. It is shown that the Nash equilibrium points are always stationary points in both senses. Under convexity assumptions the converse can also be stated. Therefore, in numerical examples, equilibrium points can be determined after computing the stationary points. One of the main results of the paper shows that weak stationary points always exist for a large class of functions.

Original languageEnglish
Pages (from-to)267-279
Number of pages13
JournalPublicationes Mathematicae
Volume54
Issue number3-4
Publication statusPublished - 1999

Fingerprint

Stationary point
Equilibrium Point
Nash Equilibrium
Converse
Convexity
Numerical Examples
Computing

Keywords

  • Generalized directional derivatives
  • Local Ky fan inequality
  • Nash equilibrium and stationary points

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Kassay, G., Kolumbán, J., & Páles, Z. (1999). On Nash stationary points. Publicationes Mathematicae, 54(3-4), 267-279.

On Nash stationary points. / Kassay, Gábor; Kolumbán, József; Páles, Z.

In: Publicationes Mathematicae, Vol. 54, No. 3-4, 1999, p. 267-279.

Research output: Contribution to journalArticle

Kassay, G, Kolumbán, J & Páles, Z 1999, 'On Nash stationary points', Publicationes Mathematicae, vol. 54, no. 3-4, pp. 267-279.
Kassay G, Kolumbán J, Páles Z. On Nash stationary points. Publicationes Mathematicae. 1999;54(3-4):267-279.
Kassay, Gábor ; Kolumbán, József ; Páles, Z. / On Nash stationary points. In: Publicationes Mathematicae. 1999 ; Vol. 54, No. 3-4. pp. 267-279.
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