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» The Game of Hex: An Automatic Theorem Proving Approach to Ga...
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AAAI
2000
14 years 10 days ago
The Game of Hex: An Automatic Theorem Proving Approach to Game Programming
The game of Hex is a two-player game with simple rules, a deep underlying mathematical beauty, and a strategic complexity comparable to that of Chess and Go. The massive game-tree...
Vadim V. Anshelevich
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 11 months ago
A new proof of Nash's Theorem via exchangeable equilibria
We give a novel proof of the existence of Nash equilibria in all finite games without using fixed point theorems or path following arguments. Our approach relies on a new notion i...
Noah D. Stein, Pablo A. Parrilo, Asuman E. Ozdagla...
IPL
2006
92views more  IPL 2006»
13 years 11 months ago
A constructive approach to sequential Nash equilibria
We present a Coq-formalised proof that all non-cooperative, sequential games have a Nash equilibrium point. Our proof methodology follows the style advocated by LCFstyle theorem p...
René Vestergaard
ML
2006
ACM
13 years 11 months ago
Universal parameter optimisation in games based on SPSA
Most game programs have a large number of parameters that are crucial for their performance. While tuning these parameters by hand is rather difficult, efficient and easy to use ge...
Levente Kocsis, Csaba Szepesvári
TACAS
2005
Springer
129views Algorithms» more  TACAS 2005»
14 years 4 months ago
A New Algorithm for Strategy Synthesis in LTL Games
Abstract. The automatic synthesis of programs from their specifications has been a dream of many researchers for decades. If we restrict to open finite-state reactive systems, th...
Aidan Harding, Mark Ryan, Pierre-Yves Schobbens