The topic of balancing on the brink is extremely relevant under present conditions of the real threat of nuclear war. A game-theoretic model is presented that describes the process of brinkmanship using the Caribbean crisis as an example. The results of research on such models and, accordingly, recommendations for decision makers depend significantly on the specific numerical values of the players' payoffs and the probabilities of certain events. Therefore, it is advisable to develop a software package that allows you to set different values of these parameters and conduct simulations for various control scenarios. The article proposes a program for implementing this approach.
Keywords: brinkmanship, extended form games, simulation
This article suggests a mathematical apparatus for modeling quantitative indicators of social space and stratification. It describes formulas for calculating social status, radius and volume of power as characteristics of a separate social position and the magnitude of interaction between positions. The proposed formalization corresponds to the sociological theories of P.A. Sorokin and P. Bourdieu. It is offered to use simulation modeling to extend this approach to the regional level of analysis
Keywords: analytical and geometric analysis, simulation modeling, social space, social stratification
The paper reports on dynamical model of optimal biological resource exploitation with corruption. Particularly, it is allowed a fish quota increase after paid a bribe. The research has been realized with the sustainable development conception by the Pontryagin's maximum principle. A time moment, where the bribe is profitable, is considered. Fight corruption methods are presented.
Keywords: Mathematical model, optimal exploitation, corruption