Ky Fan inequalities and nash equilibrium points without semicontinuity and compactness

Journal of Optimization Theory and Applications

Volumn 94, Issue 1, 1997, Pages 137-145

  Lignola, M B ^a  

^a Dipartimento di Matematica e Applicazioni   (Italy)

Author keywords

Existence theorems; Ky Fan inequalities; Nash equilibrium points

Indexed keywords

BANACH SPACES; COMPUTATION THEORY; GAME THEORY;

EXISTENCE RESULTS; EXISTENCE THEOREM; KY FAN INEQUALITY; NASH EQUILIBRIUM POINT; REFLEXIVE BANACH SPACES; SEMI-CONTINUITY; TOPOLOGICAL VECTOR SPACES; TWO PERSON GAME;

VECTOR SPACES;

EID: 0031516476     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022611820107     Document Type: Article

References (7)

1. TAN, K. K., and Yu, J., New Minimax Inequality with Applications to Existence Theorems of Equilibrium Points, Journal of Optimization Theory and Applications, Vol. 82, pp. 105-120, 1994.
2. WILLIAMS, R. J., Sufficient Conditions for Nash Equilibria in N-Person Games over Reflexive Banach Spaces, Journal of Optimization Theory and Applications, Vol. 30, pp. 383-394, 1980.
3. Yu, J., On Nash Equilibria in N-Person Games over Reflexive Banach Spaces, Journal of Optimization Theory and Applications, Vol. 73, pp. 211-214, 1992.
4. CAVAZZUTI, E., An Extension of Nash's Theorem, Preprint, Dipartimento di Matematica Pura e Applicata, Université di Modena, Modena, Italy, 1996.
5. MOREAU, J. J., Inf-Convolutions, Sous-Additive, Convexité des Fonctions Numériques, Journal de Mathématiques Pures et Appliquées, Vol. 49, pp. 109-154, 1970.
6. BORDER, K. C., Fixed-Points Theorems with Applications to Economics and Game Theory, Cambridge University Press, Cambridge, England, 1985.
7. YEN, C. L., A Minimax Inequality and Its Application to Variational Inequalities, Pacific Journal of Mathematics, Vol. 97, pp. 477-481, 1981.