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Saddle point equilibrium under uncertain environment
Author(s) -
Sun Yun,
Ding Chunxiao,
Zhu Yuanguo
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4733
Subject(s) - saddle point , equilibrium point , saddle , mathematics , mathematical economics , quadratic equation , point (geometry) , differential game , value (mathematics) , mathematical optimization , differential equation , mathematical analysis , geometry , statistics
The saddle point equilibrium problem is of great importance in differential game theory. In this paper, an optimistic value model for the saddle point equilibrium problem under uncertain environment is investigated. The equilibrium equation for the proposed model is presented. Then a linear quadratic model is discussed. Finally, a counter terror problem is analyzed by the results obtained in the paper.