journal-of-information-and-optimization-sciences Journal of Information and Optimization Sciences 2169-0103 0252-2667 Taru Publications 10.47974/JIOS-1961 Differential games with fractional payoffs Asada Tomoya Department of Systems Engineering, Graduate School of Information Sciences, Ozuka-higashi, Hiroshima City University 3-4-1, Asaminami-ku, Hiroshima, 731-3194, Japan Tanaka Teruo Department of Systems Engineering, Graduate School of Information Sciences, Ozuka-higashi, Hiroshima City University 3-4-1, Asaminami-ku, Hiroshima, 731-3194, Japan 47 4 1489 1513 26 03 2026

This paper provides a formulation for new differential games with fractional payoffs. By applying the standard argument used in mathematical programming theory, we show that the saddle point function and the equilibrium point exist in these games. 

 Differential game Fractional payoff Parametric method Saddle point Stopping time access open retracted no