This paper presents a theoretical design of how a minimax equilibrium of differential game is achieved in stochastic cellular neural networks. In order to realize the equilibrium, two opposing players are selected for the model of stochastic cellular neural networks. One is the vector of external inputs and the other is the vector of internal noises. The design procedure follows the nonlinear H...

in this paper, we study the existence of generalized solutions for the infinite dimensional nonlinear stochastic differential inclusions $dx(t) in f(t,x(t))dt +g(t,x(t))dw_t$ in which the multifunction $f$ is semimonotone and hemicontinuous and the operator-valued multifunction $g$ satisfies a lipschitz condition. we define the it^{o} stochastic integral of operator set-valued stochastic pr...

In this paper, we propose a novel modeling method, Stochastic Game Nets(SGN). SGN is an good method to model and deal with the game issues, which takes advantages of both stochastic game theory and Stochastic Petri Nets. The SGN could inherit the efficient and flexible modeling approach of Stochastic Petri Nets, and also make well use of the game-theoretical framework from game theory. Meanwhil...

This paper develops a model for the discrete stochastic dynamics of economic inequalityinduced outcomes in education and demonstrates, in the context of the Turkish higher education sector, that higher incomes lead to higher performance levels; and hence income inequality matters. The paper formulates a stochastic subsidy policy that could help the sector to escape the low performance equilibri...

The differential game method effectively reflects the multi-agent, long-term, and dynamic characteristics of combating regional desertification. Considering differences in levels economic development level governance technology between adjacent areas, three desertification-combating modes are proposed for exploratory purposes. models two regions desertification areas constructed as per certain ...

in this paper we use a class of stochastic functional kolmogorov-type model with jumps to describe the evolutions of population dynamics. by constructing a special lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...

This paper focuses on developing low-carbon technology (LCT) innovation in traditional enterprises under carbon trading policies. The Hamilton–Jacobi–Berman equation quantitatively investigates the coordination mechanism and optimal strategy of LCT systems conventional industries. A three-way dynamic differential game model is constructed to analyze three cases: Nash disequilibrium game; Stacke...

The paper analyzes “subsidy games” between countries in order to attract foreign direct investment (FDI) from a third country. The winner of this game results from the interaction of two factors, relative country size and employment gains from FDI: a large (or “central”) country is more likely to attract FDI, and so is a country with high unemployment. The subsidy equilibrium is compared with t...