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Moreover, the existence of the saddle point for this game problem is verified.
In what follows, we aim to establish the necessary and sufficient condition for the Nash equilibrium point subject to this game problem.
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For the game problem, the objective is to obtain asymptotic Nash equilibria.
Because the initial conditions and disturbances on the host cell are uncertain, to simplify the design problem, a robust synthetic biology design is formulated as a stochastic game problem in this study.
This is the so-called stochastic game problem in the robust synthetic gene network design (Basar and Olsder, 1999).
In this situation, the non-linear stochastic game problem in (10) could be easily solved by the fuzzy dynamic method for the robust design of sub-minimax design problem.
This technique permits to transform the initial game problem, given in Banach space, to a static game given in finite dimensional space.
"Come the morning of the match, Dean was being sick in the toilet and Andy was saying to him: 'Don't worry, we'll win this game, no problem'".
This paper is concerned with a non-zero sum differential game problem of an anticipated forward-backward stochastic differential delayed equation under partial information.
In this case, the lower-level optimization problem is a kind of game problem, and the whole problem becomes an NBMF game problem. Figure 2 The framework of NBMF-PSO algorithm.
This minimax matching problem could herein be transformed to an equivalent dynamic game problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com