APPLICATION OF THE GAME THEORY AND REFLEXIVITY WHILE DEVELOPING A MATHEMATICAL MODEL FOR CHOOSING A STRATEGY BY THE RUSSIAN BANKING MARKET PLAYERS

2020 ◽  
Vol 10 (10) ◽  
pp. 2364-2373
Author(s):  
E.A. Nechvoloda ◽  
◽  
E.B. Koreeva ◽  
S.A. Gryaznov ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Game Theory ◽  
World Market ◽  
Past Century ◽  
Mathematical Science ◽  
Banking Services ◽  
Market Participants ◽  
Maximum Benefit ◽  
The Game Theory ◽  
Gradual Development

The gradual development of society and innovations in the Russian economy over the past century has led to the emergence of market relations in the country, which, unlike the planned economy that existed before, meant freedom of development and action. However, because such changes, market participants had to pay attention to new factors - risk, competition, etc. To improve the efficiency and results of decisions made in the given conditions, enterprises use game theory, thanks to which each agent can predict the actions of other agents and develop a strategy for his own game that would bring maximum benefit. Originally, game theory was a formal branch of mathematical science, although it was used to study primary economic models of the mid-20th century. However, after the Second World War, scientists acquired a more serious interest in this area, and they began to apply it in various spheres of human activity. Nowadays, game theory is actively developing, and it is used to create and analyze mathematical theoretical and applied models. This paper considers the basic concepts applicable in the analysis and optimization of the banking services market, namely, game theory, game, uncertainty, Herfindahl- Hirschman index, Nash equation, etc. Within the framework of this theory, the banking services market of the Russian segment of the world market as of 2015-2019 is considered; and an assessment of possible market situations, the agents’ moves and their effectiveness is given. A mathematical model of the strategy choice by the players in the Russian segment of the banking services market is presented, which implies reflection and interaction between players.

scholarly journals Research on Electric-Vehicle Switching Scheduling and Charging Strategy of Charging Stations

2021 ◽  
Vol 292 ◽  
pp. 01031
Author(s):  
Yuxing Li ◽  
Hao Wu ◽  
Yu Shi ◽  
Hao Li ◽  
Xuefeng Gao ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Game Theory ◽  
Decision Making ◽  
Electric Vehicle ◽  
Spatial Characteristics ◽  
Power Exchange ◽  
The Game Theory ◽  
Charging Stations ◽  
Charging Strategy

In order to effectively alleviate the congestion of power exchange stations, the game theory was used to discuss the spatial characteristics of electric vehicle power exchange demand, analyze the decision making and game process of electric vehicle users specifically. Moreover, on the basis of the research, the specific way of setting the price of the exchange station was proposed and the game mathematical model was constructed.

scholarly journals Using the mathematical apparatus of game theory in strategic marketing

1970 ◽  
pp. 116-123
Author(s):  
Є.А. Івченко ◽  
M.M. Бучнєв
Keyword(s):  
Mathematical Model ◽  
Game Theory ◽  
Marketing Strategy ◽  
Optimal Strategies ◽  
Marketing Strategies ◽  
Strategic Marketing ◽  
Mathematical Apparatus ◽  
The Game Theory ◽  
Marketing Activities ◽  
The Cost

The article discusses the use of the mathematical apparatus of game theory in strategic marketing. The use of the game theory toolkit in the formation of the marketing strategies of an enterprise has been investigated. According to the results of the study, it has been established that the introduction of game theory methods into marketing activities will make it possible to analyze complex socio-economic systems for solving strategic problems. Game theory models can be thought of as games of strategies or actions, such as setting prices, setting the size of output, determining the cost of advertising, or determining the cost of promoting products to the market. It is noted that game theory can predict the results of competitive situations and help choose optimal strategies. For practical work in strategic marketing, it is of particular importance that game theory allows you to choose optimal strategies that can improve the structure and outcome of the game. The use of the conceptual apparatus of the theory in economic theory is analyzed using the example of quantitative models of duopoly and the concept of equilibrium. The description of the mathematical model of strategic interaction is formalized, which reflects the inherent features of the conflict. The procedure for applying game theory in the formation of marketing strategies of enterprises is analyzed and the main stages of the procedure for choosing an optimal marketing strategy using game theory are highlighted. An algorithm for applying the mathematical apparatus of game theory in marketing activities is proposed. When developing a marketing strategy for an enterprise, general marketing goals are considered, depending on the level of strategic management and goals concerning individual elements of the marketing mix. A "tree of goals" of an enterprise for a marketing complex is proposed when forming a marketing strategy of an enterprise using the mathematical apparatus of game theory. A payment matrix has been formed, which makes it possible to determine possible optimal strategies and options for the game. The problems of using the mathematical apparatus in the formation of the marketing strategies of the enterprise are highlighted. The conceptual apparatus has been determined and basic tasks have been formulated, with the help of which the game theory toolkit allows making decisions in the marketing activities of an enterprise. Keywords: game theory, strategy, strategic marketing, marketing strategy, strategic decisions, mathematical model, decision making.

scholarly journals Mathematical Modeling of the Strategy of the Early Islamic Wars

2020 ◽  
Vol 3 (1) ◽  
pp. 1-14
Author(s):  
Fouad Abiad
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Game Theory ◽  
Simulation Analysis ◽  
Earth Science ◽  
Mathematical Concepts ◽  
The Game Theory ◽  
Battle Of Siffin ◽  
Theory Of War ◽  
And Mathematics

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in the social sciences (such as economics, psychology, sociology, political science).The main activities involved in this procedure are observation followed by mathematical modeling; simulation, analysis, optimization and back to observation, Mathematics has been applied to all sciences; and religious and military sciences are no exception, and mathematics can be used highly to design different war operations and solve battlefield equations to gain relative or absolute superiority over the enemy. We can also see clearly the application of mathematics in the Game Theory of war in abundance. In this applied research, conducted in a library method, the challenges between the army of Amir al-Mu’minin, ʿAlī ibn Abī Ṭālib (as), and the army of Muʿāwiya ibn Abī Sufyān in the Battle of Siffin have been modeled using Game Theory and the strategies of each of these two fronts are compared.

Reputation and Gossip in Game Theory

2019 ◽  
pp. 213-229
Author(s):  
Charles Roddie
Keyword(s):  
Game Theory ◽  
Strategic Behavior ◽  
Third Party ◽  
The Past ◽  
Past Behavior ◽  
Future Behavior ◽  
The Game Theory ◽  
Shed Light

When interacting with others, it is often important for you to know what they have done in similar situations in the past: to know their reputation. One reason is that their past behavior may be a guide to their future behavior. A second reason is that their past behavior may have qualified them for reward and cooperation, or for punishment and revenge. The fact that you respond positively or negatively to the reputation of others then generates incentives for them to maintain good reputations. This article surveys the game theory literature which analyses the mechanisms and incentives involved in reputation. It also discusses how experiments have shed light on strategic behavior involved in maintaining reputations, and the adequacy of unreliable and third party information (gossip) for maintaining incentives for cooperation.

scholarly journals The Superiority of Quantum Strategy in 3-Player Prisoner’s Dilemma

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1443
Author(s):  
Zhiyuan Dong ◽  
Ai-Guo Wu
Keyword(s):  
Game Theory ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Quantum Game ◽  
Final State ◽  
The Game Theory ◽  
Initial States ◽  
Quantum Strategy ◽  
Selection Of

In this paper, we extend the quantum game theory of Prisoner’s Dilemma to the N-player case. The final state of quantum game theory of N-player Prisoner’s Dilemma is derived, which can be used to investigate the payoff of each player. As demonstration, two cases (2-player and 3-player) are studied to illustrate the superiority of quantum strategy in the game theory. Specifically, the non-unique entanglement parameter is found to maximize the total payoff, which oscillates periodically. Finally, the optimal strategic set is proved to depend on the selection of initial states.

scholarly journals Multi-Robot Searching using Game-Theory Based Approach

10.5772/6232 ◽  
2008 ◽  
Vol 5 (4) ◽  
pp. 44 ◽  
Author(s):  
Yan Meng
Keyword(s):  
Game Theory ◽  
Dynamic Programming ◽  
Utility Function ◽  
Real Time ◽  
Dynamic Environment ◽  
Equilibrium Solutions ◽  
Strategy Equilibrium ◽  
The Game Theory ◽  
Target Searching ◽  
Multi Robot

This paper proposes a game-theory based approach in a multi–target searching using a multi-robot system in a dynamic environment. It is assumed that a rough priori probability map of the targets' distribution within the environment is given. To consider the interaction between the robots, a dynamic-programming equation is proposed to estimate the utility function for each robot. Based on this utility function, a cooperative nonzero-sum game is generated, where both pure Nash Equilibrium and mixed-strategy Equilibrium solutions are presented to achieve an optimal overall robot behaviors. A special consideration has been taken to improve the real-time performance of the game-theory based approach. Several mechanisms, such as event-driven discretization, one-step dynamic programming, and decision buffer, have been proposed to reduce the computational complexity. The main advantage of the algorithm lies in its real-time capabilities whilst being efficient and robust to dynamic environments.

scholarly journals Cooperative n-person Prisoner's Dilemma on a Network

2021 ◽  
Vol 14 ◽  
pp. 122-126
Author(s):  
Aleksandra L. Grinikh ◽  
◽  
Leon A. Petrosyan ◽  
Keyword(s):  
Game Theory ◽  
Cooperative Game ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Pairwise Interaction ◽  
Network Interaction ◽  
The Game Theory

In the paper n-person prisoner's dilemma on the network is investigated. A cooperative game with the pairwise interaction of players is constructed. The model is a modification of the classic 2-person prisoner's dilemma problem in the game theory. Network interaction provide an ability to take into account the in uence only to the adjacent players from the whole set of players. The feature of the game is found that allows to make a decision about necessity of playing dominated strategy by a few players. This solution is based on the number of the adjacent players. The work is a continuation of the paper published earlier by Grinikh A.L. and Petrosyan L.A. in 2021.

scholarly journals Effective decisions for individualized assessment and minimization of the risk of unfriendly takeover of enterprises: the features of the game theory application

2019 ◽  
Vol 17 (1) ◽  
pp. 370-379
Author(s):  
Oksana Korolovych ◽  
Olha Chabaniuk ◽  
Natalia Ostapiuk ◽  
Yurii Kotviakovskyi ◽  
Nelia Gut
Keyword(s):  
Game Theory ◽  
External Environment ◽  
Point Of View ◽  
Control Moment ◽  
The Game Theory ◽  
Antagonistic Game ◽  
Target Company ◽  
Legislative Framework ◽  
Theory Application ◽  
Detailed Assessment

The conditions for doing business at this stage are often similar in a game in which you need to calculate your actions a few steps ahead. At the same time, it is important to highlight several possible current options and make the necessary decision at the control moment. Moreover, each of the options formed should be justified, understandable and take into account the risk factors and available resources.Today, the main problem of assessing and minimizing the risk of “unfriendly takeover” is due to the fact that in most cases the raider is a player who acts quite legitimately and relies on the loopholes of the current legislative framework. Therefore, it is easier to identify possible actions of the raider and to avoid them within the limits of the reverse game than to deal with the consequences.The purpose of the research is to study the specificity of the individualized assessment and minimization of the risk of “unfriendly takeover” by using elements of game theory.It has been taken into account that the effect of individualization in assessing the risk of unfriendly takeover of enterprises can possibly be achieved on the basis of the application of game theory, the elements of which provide simulation of the unfriendly takeover process within the mathematical description of the inherent combinations of attack/defence as if they actually occurred in time both within one state of the external environment and for their given set.The results allowed forming mathematical decision-making models based on the elements of the antagonistic game “raider-target enterprise” and “raider games with the external environment”, which proved the possibility to: 1) identify possible functions of wins/losses; 2) combinations of attacks that can be neglected (that is, from the point of view of the rationality of decisions, will be rejected by the raider); 3) the ranking of the raider’s “attack combinations” for the reliability of their use during “unfriendly takeover”. Under such conditions, the target company can provide not only a detailed assessment, but also an effective minimization of the risk of “unfriendly takeover” and allocate the best combination of protection.

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