Positive Cones and Nash Equilibria
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] Rm 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 pay-off matrix A, for which pi is never zero, or is zero for only one component, given some assumptions about the probability distribution of the elements of A.
Proceedings of the Royal Society of London Series A
- Pub Date:
- March 1994