Abstract : It is known that different orders of eliminating dominated strategies in n-person games may yield different reduced games. One gives conditions which guarantee that the reduced game is unique. For finite games, the conditions include the well-known cases of strict dominance, and in a slightly weaker form, of regular dominance for zero sum and similar games
Itzhak Gilboa, E. Kalai, E. Zemel. On the order of eliminating dominated strategies. Operations Research Letters, Elsevier, 1990, Vol.9, n°2, pp. 85-89. ⟨10.1016/0167-6377(90)90046-8⟩. ⟨hal-00481648⟩