On a dynamic fractional game ✩

Consider a two-person zero-sum game constructed by a dynamic fractional form.We establish the upper value as well as the lower value of a dynamic fractional game, and prove that the dual gap is equal to zero under certain conditions. It is also established that the saddle point function exists in the fractional game system under certain conditions so that the equilibrium point exists in this game system.  2004 Elsevier Inc. All rights reserved