Titlebook: Many Agent Games in Socio-economic Systems: Corruption, Inspection, Coalition Building, Network Grow; Vassili N. Kolokoltsov,Oleg A. Malaf

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Dynamic Control of Major Players the corresponding LLN limit for both discrete and continuous time. For discrete time, the LLN limit turns into a deterministic multistep control problem in the case of one major player, and to a deterministic multistep game between major players in the case of several such players.

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Four-State Model of Cybersecuritysay, switch on or out the defense system) is much faster that the infection rates. In particular, the phase transitions and the bifurcation points changing the number of solutions can be found explicitly.

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Introduction: Main Models and LLN Methodology,lowing one to reduce the analysis of these Markov chains with exponentially large state spaces to a low-dimensional dynamic system expressed in terms of simple ordinary differential equations (ODEs), so called kinetic equations.

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Book 2019field type control and nonlinear Markov games. Exhibiting various real world problems involving major and minor agents, this book presents a systematic continuous-space approximation approach for .mean-field interacting agents. models and .mean-field games .models. After describing Markov-chain meth

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Models of Growth Under PressureIt is based on some elements of infinite-dimensional analysis, the analysis of functions on the Banach space of sequences . and of the ODEs in this space. We begin with brief description of the tools used.

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