POSITIVE CONES AND NASH EQUILIBRIA

Authors
CANNINGS C PIFF MJ VICKERS GT
Citation
C. Cannings et al., POSITIVE CONES AND NASH EQUILIBRIA, Proceedings - Royal Society. Mathematical and physical sciences, 444(1922), 1994, pp. 583-589
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences",Physics
Journal title
Proceedings - Royal Society. Mathematical and physical sciences → ACNP
ISSN journal
09628444
Volume
444
Issue
1922
Year of publication
1994
Pages
583 - 589
Database
ISI
SICI code
0962-8444(1994)444:1922<583:PCANE>2.0.ZU;2-I
Abstract
The probability that a line through the origin pierces the cone genera ted by n vectors in R(m) chosen with a centrally symmetric distributio n is calculated. This is used to derive the probability of the existen ce of a Nash equilibrium for a random pay-off matrix A, for which p(i) is never zero, or is zero for only one component, given some assumpti ons about the probability distribution of the elements of A.