An approach to solution uniqueness in game problems

A new concept of strong conflict equilibrium is proposed that supplements the well-known fundamental system of conflict equilibria and considerably increases the possibility of finding a unique strongest equilibrium (solution) in any game problem. The efficiency of this new equilibrium is illustrated by static and dynamic game problems. This work was carried out under the program “Basic foundations of information technologies and systems” of the Russian Academy of Science (Project No. 1–3). Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 116–127, March–April 2009.