Saddle point equilibrium under uncertain environment

Saddle point equilibrium under uncertain environment

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 quadrati...

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Veröffentlicht in:Mathematical methods in the applied sciences 2018-03, Vol.41 (5), p.2063-2073
Hauptverfasser: Sun, Yun, Ding, Chunxiao, Zhu, Yuanguo
Format: Artikel
Sprache:eng
Schlagworte:
differential game theory
Equilibrium
equilibrium equation
Equilibrium equations
Game theory
optimistic value
saddle point
Saddle points (game theory)
uncertain optimal control
uncertain process
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4733