Equilibrium Points for Open Acyclic Relations
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 366-369

Voir la notice de l'article provenant de la source Cambridge University Press

A formulation of a fixed point theorem, which can be applied conveniently to non-cooperative games and cooperative games, is suggested in this note.Let N 1, ... , Nm be m non-empty, finite disjoint sets. For k = 1, ... , m we denote by Sk the simplex the coordinates of whose points are indexed by the members of Nk ; thus Sk is the collection of all real functions xk defined on Nk which satisfy: 1.1 1.2
Peleg, Bezalel. Equilibrium Points for Open Acyclic Relations. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 366-369. doi: 10.4153/CJM-1967-028-4
@article{10_4153_CJM_1967_028_4,
     author = {Peleg, Bezalel},
     title = {Equilibrium {Points} for {Open} {Acyclic} {Relations}},
     journal = {Canadian journal of mathematics},
     pages = {366--369},
     year = {1967},
     volume = {19},
     number = {1},
     doi = {10.4153/CJM-1967-028-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-028-4/}
}
TY  - JOUR
AU  - Peleg, Bezalel
TI  - Equilibrium Points for Open Acyclic Relations
JO  - Canadian journal of mathematics
PY  - 1967
SP  - 366
EP  - 369
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-028-4/
DO  - 10.4153/CJM-1967-028-4
ID  - 10_4153_CJM_1967_028_4
ER  - 
%0 Journal Article
%A Peleg, Bezalel
%T Equilibrium Points for Open Acyclic Relations
%J Canadian journal of mathematics
%D 1967
%P 366-369
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-028-4/
%R 10.4153/CJM-1967-028-4
%F 10_4153_CJM_1967_028_4

[1] 1. Davis, M. and Maschler, M., The kernel of a cooperative game, Econometric Research Program, Research Memorandum No. 58 (1963), Princeton University, Princeton, N.J. ; to appear in Naval Logistics Quarterly. Google Scholar

[2] 2. Davis, M. and Maschler, M., Existence of stable payoff configurations for cooperative games, Bull. Amer. Math. Soc., 69 (1963), 106–108. Google Scholar

[3] 3. Nash, J. F., Non cooperative games, Ann. Math., 54 (1951), 286–295. Google Scholar

[4] 4. Peleg, B., Existence theorem for the bargaining set M (i)), Bull. Amer. Math. Soc., 69 (1963), 109–110. Google Scholar

Cité par Sources :