Сборник задач по теории игр
On the basis of A. Przeworski’s game-theoretic approach the qualitative transformation of “National Movement” – an authoritarian-dominant party in Franco’s Spain – during the global economic crisis period (1957-1958) is analyzed. The strategies of political factions (the coalition of technocrats-monarchists and postfalangists) were identified as the basic elements of the analysis.
This volume comprises the proceedings of the IX Moscow International Conference on Operations Research (ORМ 2018 – Germeyer100) in the scope of fundamental research and applications of decision-making theory under uncertainty, operations research in multiple areas as well as numerical methods of operations research. The conference is devoted to the centenary of the outstanding Soviet scientist, professor Yuri Germeyer who contributed greatly to the development of mathematical foundations of the decision making theory and played a key role in the formation of the domestic school of operations research and the game theory. The reports demonstrate a further and profound development of the Germeyer scientific school.
The law of accelerating returns can be viewed as a concept that describes acceleration of technological progress. The idea is that tools are used for developing more advanced tools that are applied for creating even more advanced tools etc. A similar idea has been implemented in algorithms for advancing artificial intelligence. In this paper, the results of applying these algorithms in games are discussed. Nevertheless, real life tasks seem more complicated. The game theoretic approach can be applied for transition from theoretical and unrealistic games to more complex and practical tasks. Applications of the game theoretic approach to advance artificial intelligence in solving tasks in the credit industry are proposed.
Background Replicator systems often arise when evolution is concerned. Mathematical models of population dynamics, game theory, economics and biological and molecular evolution lead to the systems of partial differential equations. Due to the absence of analytical solutions for the vast majority of such problems, approximate solutions obtained via numerical simulation are required. Hence, construction of efficient algorithms for the solution of spatial and time-dependent replicator systems is crucial for understanding the dynamics and properties of evolution. Results We give an overview of existing approaches to numerical simulation of replicator systems arising in various fields. We describe a mathematical model of population dynamics with explicit space in game theory setting with asymmetric conflict and a model of biological evolution in presence of a mutator-gene. Both models lead to nonlinear systems of partial differential equations that we cast to the same general form. Then we describe the numerical method based on finite volume framework to solve the system, and provide some numerical examples that demonstrate the method’s validity. Conclusions We conclude that constructed numerical method is suitable for simulation of replicator systems of general form.
Cooperative game theory instruments application to the corporate finance M&A research issues provide an ability to extend the field considered and conclusions obtained. The paper presents the M&A cooperative games modeling and its empirical implementation to analyze the airline strategic alliance as M&A deal.
Reaction–diffusion type replicator systems are investigated for the case of a bimatrix. An approach proposed earlier for formalizing and analyzing distributed replicator systems with one matrix is applied to asymmetric conflicts. A game theory interpretation of the problem is described and the relation between dynamic properties of systems and their game characteristics is determined. The stability of a spatially homogeneous solution for a distributed system is considered and a theorem on maintaining stability is proved. The results are illustrated with two-dimensional examples in the case of distribution.