Mean field game model of corruption

A simple model of corruption that takes into account the effect of the interaction of a large number of agents by both rational decision making and myopic behavior is developed. Its stationary version turns out to be a rare example of an exactly solvable model of mean-field-game type. The results show clearly how the presence of interaction (including social norms) influences the spread of corruption

Multistage Voting Model with Alternative Elimination

The voting process is formalized as a multistage voting model with successive alternative elimination. A finite number of agents vote for one of the alternatives each round subject to their preferences. If the number of votes given to the alternative is less than a threshold, it gets eliminated from the game. A special subclass of repeated games that always stop after a finite number of stages is considered. Threshold updating rule is proposed. A computer simulation is used to illustrate two properties of these voting games

Many agent games in socio-economic systems: corruption, inspection, coalition building, network growth, security

There has been an increase in attention toward systems involving large numbers of small players, giving rise to the theory of mean field games, mean field 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 methodology and a modeling of mean-field interacting systems, the text presents various structural conditions on the chain to yield respective socio-economic models, focusing on migration models via binary interactions. The specific applications are wide-ranging – including inspection and corruption, cyber-security, counterterrorism, coalition building and network growth, minority games, and investment policies and optimal allocation – making this book relevant to a wide audience of applied mathematicians interested in operations research, computer science, national security, economics, and finance

Many Agent Games in Socio-economic Systems: Corruption, Inspection, Coalition Building, Network Growth, Security

There has been an increase in attention toward systems involving large numbers of small players, giving rise to the theory of mean field games, mean field 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 methodology and a modeling of mean-field interacting systems, the text presents various structural conditions on the chain to yield respective socio-economic models, focusing on migration models via binary interactions. The specific applications are wide-ranging - including inspection and corruption, cyber-security, counterterrorism, coalition building and network growth, minority games, and investment policies and optimal allocation - making this book relevant to a wide audience of applied mathematicians interested in operations research, computer science, national security, economics, and finance

UNDERSTANDING GAME THEORY:Introduction to the Analysis of Many Agent Systems with Competition and Cooperation

Steadily growing applications of game theory in modern science (including psychology, biology and economics) require sources to provide rapid access in both classical tools and recent developments to readers with diverse backgrounds. This book on game theory, its applications and mathematical methods, is written with this objective in mind.The book gives a concise but wide-ranging introduction to games including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics. A distinguished feature is the clear separation of the text into two parts: elementary and advanced, which makes the book ideal for study at various levels.Part I displays basic ideas using no more than four arithmetic operations and requiring from the reader only some inclination to logical thinking. It can be used in a university degree course without any (or minimal) prerequisite in mathematics (say, in economics, business, systems biology), as well as for self-study by school teachers, social and natural scientists, businessmen or laymen.Part II is a rapid introduction to the mathematical methods of game theory, suitable for a mathematics degree course of various levels. It includes an advanced material not yet reflected in standard textbooks, providing links with the exciting modern developments in financial mathematics (rainbow option pricing), tropical mathematics, statistical physics (interacting particles) and discusses structural stability, multi-criteria differential games and turnpikes.To stimulate the mathematical and scientific imagination, graphics by a world-renowned mathematician and mathematics imaging artist, A T Fomenko, are used. The carefully selected works of this artist fit remarkably into the many ideas expressed in the book.Game Theory, Mathematical Modeling, Evolutionary Biology, Conflict and Cooperation, Multi-Criteria Optimization, Collective Choice, Replicator Dynamics, Financial Mathematics, Rainbow Options, Structural Stability, Lyapunov Stability, Multi-Criteria Optimization, Turnpikes

Understanding game theory : introduction to the analysis of many agent systems with competition and cooperation

This work offers a concise but wide-ranging introduction to games, including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics

Impact of hydrolysis lignin on phytosanitary condition of soils during potato cultivation

Under conditions of field production experiments, it was shown that the large-tonnage waste of hydrolysis production is the hydrolysis lignin (HL), which can act not only as a source of organic matter in organic or organic-mineral fertilizers, but also serve as a matrix for microorganisms, contributing to improvement of phytosanitary state of soils. It was shown that HL not only contributes to improvement of physicochemical properties of soils and replenishment of humus reserves, but also increases the resistance of plants to diseases, providing a yield increase by 10-20%. In this regard, the integrated use of HL with microbiological compounds is of particular interest. It was revealed that use of HL in combination with bacterial compound – “Mizorin”, provided a statistically significant yield increase (2 t/ha or 6.6%). At the same time, the plants’ damage by common scab decreased from 0.75 to 0.46 points. The observed effect can be caused by the fact that the beneficial microflora, which is part of the “Mizorin” product, is significantly activated due to the branched matrix of lignin