A New Game Value Approach for Infinite Interval Matrix Games

The purpose of this paper is to determine when and under which conditions the solution game value infinite interval matrix games will exist. Firstly, concept a reasonable defined in was extended games. Then, were characterized by using sequences numbers (defined Chiao, 2002) their convergence numbers. Considering that each row or column payoff sequence numbers, we assume converges same number α ̃=[α_l,α_r] β ̃=[β_l,β_r]. In conclusion, existence G ̃ shown.