Positive Cones and Nash Equilibria
Abstract
The probability that a line through the origin pierces the cone generated by n vectors in [Note: See the image of page 583 for this formatted text] R^{m} chosen with a centrally symmetric distribution is calculated. This is used to derive the probability of the existence of a Nash equilibrium for a random payoff matrix A, for which p_{i} is never zero, or is zero for only one component, given some assumptions about the probability distribution of the elements of A.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 March 1994
 DOI:
 10.1098/rspa.1994.0040
 Bibcode:
 1994RSPSA.444..583C