We consider a model of network formation as a stochastic game with random duration proposed initially in Sun and Parilina(Autom Remote control 82(6):1065–1082,2021).In the model,the leader first suggests a joint proj...
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We consider a model of network formation as a stochastic game with random duration proposed initially in Sun and Parilina(Autom Remote control 82(6):1065–1082,2021).In the model,the leader first suggests a joint project to other players,i.e.,the network connecting ***,the players are allowed to form fresh links with each other updating the initially proposed *** stage payoff of any player is defined depending on the network *** are two types of randomness in the network formation process:(i)links may fail to be formed with different probabilities although players intend to establish them,(ii)the game process may terminate at any stage or transit to the next stage with a certain probability ***,a network is formed as a result of players’decisions and realization of random *** cooperative version of the stochastic game is *** particular,we examine the properties of subgame consistency as well as strong subgame consistency of the *** provide a payment mechanism or regularization of the core elements to sustain its subgame consistency and avoid the player’s deviations from the cooperative *** addition,the distribution procedure of the core elements is regularized in case there are negative payments to achieve only nonnegative payments to the players at any *** sufficient condition of a strongly subgame consistent core is also *** illustrate our theoretical results with a numerical example.
A discrete-time multiagent system on a line is studied. The case is considered where each agent receives information from some of its neighbors, and there are switching of network topology and communication delays. It...
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Abstract: To explain the predominance of asymptomatic SARS-CoV-2 infection forms, a single virus mutation was hypothesized to change the virus population by affecting its two important parameters, virus infectiousness...
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This paper is devoted to a new class of differential games with continuous and dynamic *** direct application of resource extraction in a case of dynamic and continuous updating is *** is proved that the optimal contr...
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This paper is devoted to a new class of differential games with continuous and dynamic *** direct application of resource extraction in a case of dynamic and continuous updating is *** is proved that the optimal control(cooperative strategies)and feedback Nash equilibrium strategies uniformly converge to the corresponding strategies in the game model with continuous updating as the number of updating instants converges to *** results are presented for an optimal trajectory(cooperative trajectory),equilibrium trajectory and corresponding payoffs.
The optimal control problem with the minimization of a quadratic functional is solved for the process of heat transfer in rarefied media with heat-conduction viscosity. The process is described by the third order part...
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Optimal feedback control problems based on continuous and/or discrete feedback on the object's state are studied in the paper for dynamic, in the general case, nonlinear systems with lumped parameters. We assume t...
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We consider the problem of finding a trajectory of the road which is optimal in the sense of construction cost. Variational ideas lead us to the integral cost functional which should be minimized. The necessary optima...
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This paper is devoted to the generalization of the construction of a Jordan algebra of a Lie algebra and the known theorems on the local finite-dimensionality of Lie PI-algebras with an algebraic adjoint representatio...
A technology is proposed for estimating the probability that a share price will fall below the minimum level. The exact expression is obtained for the required probability under the assumption that the behavior of the...
Based on the SEIRD model, we consider that when multiple viruses of different virulence coexist, the more virulent virus will reinfect nodes already infected by the less virulent virus, which we call here Superexposed...
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