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DCG
1999
93views more  DCG 1999»
13 years 4 months ago
New Maximal Numbers of Equilibria in Bimatrix Games
This paper presents a new lower bound of 2:414d= p d on the maximal number of Nash equilibria in d d bimatrix games, a central concept in game theory. The proof uses an equivalent ...
Bernhard von Stengel
DCG
1999
58views more  DCG 1999»
13 years 4 months ago
Nonexistence of Certain Spherical Designs of Odd Strengths and Cardinalities
A spherical -design on Sn-1 is a finite set such that, for all polynomials f of degree at most , the average of f over the set is equal to the average of f over the sphere Sn-1 . ...
Peter Boyvalenkov, Danyo Danev, Svetla Nikova
DCG
1999
81views more  DCG 1999»
13 years 4 months ago
Properties of Random Triangulations and Trees
Let Tn denote the set of triangulations of a convex polygon K with n sides. We study functions that measure very natural "geometric" features of a triangulation Tn, fo...
Luc Devroye, Philippe Flajolet, Ferran Hurtado, Ma...