On a dynamic fractional game

On a dynamic fractional game
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关于动态分数博弈

DOI:
10.1016/j.jmaa.2004.03.001
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发表时间:
2004
期刊:
影响因子:
--
通讯作者:
H. Lai
H. Lai
中科院分区:
--
文献类型:
--
作者:
H. Lai

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考虑一个由动态分式形式构造的二人零和博弈。建立了一个动态分式对策的上、下界,并证明了在一定条件下对偶间隙等于零。在一定条件下,证明了分式对策系统存在鞍点函数,从而使得该对策系统存在平衡点。
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.