# On generalized games in $H$-spaces

Commentationes Mathematicae Universitatis Carolinae (1999)

- Volume: 40, Issue: 1, page 175-180
- ISSN: 0010-2628

## Access Full Article

top## Abstract

top## How to cite

topCubiotti, Paolo, and Nordo, Giorgio. "On generalized games in $H$-spaces." Commentationes Mathematicae Universitatis Carolinae 40.1 (1999): 175-180. <http://eudml.org/doc/248435>.

@article{Cubiotti1999,

abstract = {We show that a recent existence result for the Nash equilibria of generalized games with strategy sets in $H$-spaces is false. We prove that it becomes true if we assume, in addition, that the feasible set of the game (the set of all feasible multistrategies) is closed.},

author = {Cubiotti, Paolo, Nordo, Giorgio},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {$H$-spaces; generalized games; Nash equilibria; $H$-convexity; open lower sections; fixed points; Nash equilibria; fixed points},

language = {eng},

number = {1},

pages = {175-180},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {On generalized games in $H$-spaces},

url = {http://eudml.org/doc/248435},

volume = {40},

year = {1999},

}

TY - JOUR

AU - Cubiotti, Paolo

AU - Nordo, Giorgio

TI - On generalized games in $H$-spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1999

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 40

IS - 1

SP - 175

EP - 180

AB - We show that a recent existence result for the Nash equilibria of generalized games with strategy sets in $H$-spaces is false. We prove that it becomes true if we assume, in addition, that the feasible set of the game (the set of all feasible multistrategies) is closed.

LA - eng

KW - $H$-spaces; generalized games; Nash equilibria; $H$-convexity; open lower sections; fixed points; Nash equilibria; fixed points

UR - http://eudml.org/doc/248435

ER -

## References

top- Aubin J.P., Optima and Equilibria, Springer-Verlag, Berlin, 1993. Zbl0930.91001MR1217485
- Aubin J.P., Frankowska H., Set-Valued Analysis, Birkhäuser, Boston, 1990. Zbl1168.49014MR1048347
- Bardaro C., Ceppitelli R., Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities, J. Math. Anal. Appl. 132 (1988), 484-490. (1988) Zbl0667.49016MR0943521
- Bardaro C., Ceppitelli R., Applications of the generalized Knaster-Kuratowski-Mazurkiewicz theorem to variational inequalities, J. Math. Anal. Appl. 137 (1989), 46-58. (1989) MR0981922
- Bardaro C., Ceppitelli R., Fixed point theorems and vector-valued minimax theorems, J. Math. Anal. Appl. 146 (1990), 363-373. (1990) Zbl0698.49011MR1043106
- Cubiotti P., Existence of solutions for lower semicontinuous quasi-equilibrium problems, Comput. Math. Applic. 30 (12) (1995), 11-22. (1995) Zbl0844.90094MR1360323
- Harker P.T., Generalized Nash games and quasi-variational inequalities, European J. Oper. Res. 54 (1991), 81-94. (1991) Zbl0754.90070
- Huang Y., Fixed point theorems with an application in generalized games, J. Math. Anal. Appl. 186 (1994), 634-642. (1994) Zbl0814.54029MR1293845
- Klein E., Thompson A.C., Theory of Correspondences, John Wiley and Sons, New York, 1984. Zbl0556.28012MR0752692
- Tian G., Zhou J., The Maximum theorem and the existence of Nash equilibria of (generalized) games without lower semicontinuities, J. Math. Anal. Appl. 166 (1992), 351-364. (1992) MR1160931

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.