Corruption dynamics model
21 Jul 2017-Vol. 1863, Iss: 1, pp 170013
TL;DR: The corruption dynamics is analyzed by means of the lattice model which is similar to the three-dimensional Ising model and results are obtained which demonstrate asymptotic behaviour of the corruption network under various conditions.
Abstract: The corruption dynamics is analyzed by means of the lattice model which is similar to the three-dimensional Ising model. Agents placed at nodes of the corrupt network periodically choose to perfom or not to perform the act of corruption at gain or loss while making decisions based on the process history. The gain value and its dynamics are defined by means of the Markov stochastic process modelling with parameters established in accordance with the influence of external and individual factors on the agent’s gain. The model is formulated algorithmically and is studied by means of the computer simulation. Numerical results are obtained which demonstrate asymptotic behaviour of the corruption network under various conditions.
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24 Apr 2018
TL;DR: In this paper, the authors presented the mathematic model of regional economy development based on the result of labor resources. But the solution of a region development-planning problem is considered for the period of long-lasting planning taking into account the beginning and the end of the planned period, which will provide simultaneous transaction of all major sectors of the regional economy from the given condition to the predetermined final state.
Abstract: This article presents the mathematic model of regional economy development based on the result of labor resources. The solution of a region development-planning problem is considered for the period of long-lasting planning taking into account the beginning and the end of the planned period. The challenge is to find the distribution of investments in the main and additional branches of the regional economy, which will provide simultaneous transaction of all major sectors of the regional economy from the given condition to the predetermined final state.
37 citations
24 Apr 2018
TL;DR: In this paper, the authors analyze dynamic programming as a novel approach to solve the problem of maximizing the profits of a bank and propose a mathematical model of the problem and the description of bank's work.
Abstract: In this paper, we analyze dynamic programming as a novel approach to solve the problem of maximizing the profits of a bank. The mathematical model of the problem and the description of bank’s work is described in this paper. The problem is then approached using the method of dynamic programming. Dynamic programming makes sure that the solutions obtained are globally optimal and numerically stable. The optimization process is set up as a discrete multi-stage decision process and solved with the help of dynamic programming.
34 citations
24 Jul 2019
TL;DR: In this paper the special case of network formation games is considered, a network model of manufacturing system where players are participants of a production process and their actions are their’s requests for interaction.
Abstract: A network model of manufacturing system is considered. This is a network formation game where players are participants of a production process and their actions are their’s requests for interaction. Production networks are formed as a result of an interaction. Players’ payoff functions are defined on the set of all possible networks. In this paper the special case of network formation games is considered. Payoff functions are supposed to be additive and depend on subsets of arcs. Two cases are considered. First, subsets of arcs are supposed to be not intersected. The necessary and sufficient conditions for equilibrium are given for this case.
10 citations
10 Dec 2019
TL;DR: The information process consisting of the stages of collection, processing, storage and protection of information is considered and formalized in the form of a structurally logical scheme consisting of stages of the information process.
Abstract: The information process consisting of the stages of collection, processing, storage and protection of information is considered in this paper. The process is formalized in the form of a structurally logical scheme consisting of stages of the information process. It is assumed that the process of collecting, processing and storing information is carried out by special equipment. The analysis of the process under investigation is presented. A numerical example is given.The information process consisting of the stages of collection, processing, storage and protection of information is considered in this paper. The process is formalized in the form of a structurally logical scheme consisting of stages of the information process. It is assumed that the process of collecting, processing and storing information is carried out by special equipment. The analysis of the process under investigation is presented. A numerical example is given.
9 citations
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TL;DR: This 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.
Abstract: 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.
8 citations
References
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TL;DR: In this article, a modified Monte Carlo integration over configuration space is used to investigate the properties of a two-dimensional rigid-sphere system with a set of interacting individual molecules, and the results are compared to free volume equations of state and a four-term virial coefficient expansion.
Abstract: A general method, suitable for fast computing machines, for investigating such properties as equations of state for substances consisting of interacting individual molecules is described. The method consists of a modified Monte Carlo integration over configuration space. Results for the two‐dimensional rigid‐sphere system have been obtained on the Los Alamos MANIAC and are presented here. These results are compared to the free volume equation of state and to a four‐term virial coefficient expansion.
35,161 citations
TL;DR: In this paper, the authors discuss some examples of antisymmetric behavior and see whether it can be described quantitatively, similarly to the way we describe magnetism, in animals in groups.
Abstract: Buridan, the French religious philosopher, is credited (probably falsely) with describing an ass standing midway between two identical bales of hay: Being French, and therefore cool and logical, the ass starved to death, because there was no way to decide which bale to eat first. Only philosophical asses behave in that way. Animals, like magnets, break symmetry, especially animals in groups. We shall discuss some examples of such antisymmetric behavior and see whether it can be described quantitatively, similarly to the way we describe magnetism.
130 citations
TL;DR: 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 and turns out to be a rare example of an exactly solvable model of mean-field-game type.
Abstract: 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 by creating certain phase transition from one to three equilibria.
64 citations
Posted Content•
TL;DR: In this paper, 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, and its stationary version turns out to be a rare example of an exactly solvable model of mean-field game type.
Abstract: 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.
59 citations
08 Sep 2014
TL;DR: The model of corruption networks based on electric-network analogues is formalized and studied, and algorithms for finding the equilibrium Cournot-Nash and compromise point are proposed.
Abstract: The model of corruption networks based on electric-network analogues is formalized and studied in this paper. Algorithms for finding the equilibrium Cournot-Nash and compromise point are proposed in this model. One numerical example is solved. The processes of dynamics of corruption services are modeled through the circuits of corrupt officials-agents.
59 citations