scholarly journals Equilibrium in Nash’s mind

2020 ◽  
Author(s):  
Vasil Penchev
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
Human Brain ◽  
Set Theory ◽  
Donald Capps ◽  
Emergent Properties ◽  
Normal Brain ◽  
Actual Infinity ◽  
The Game Theory

Donald Capps suggested the hypothesis that “the Nash equilibrium is descriptive of the normal brain, whereas the game theory formulated by John van Neumann, which Nash’s theory challenges, is descriptive of the schizophrenic brain”. The paper offers arguments in its favor. They are from psychiatry, game theory, set theory, philosophy and theology. The Nash equilibrium corresponds to wholeness, stable emergent properties as well as to representing actual infinity on a material, limited and finite organ as a human brain.

scholarly journals Equilibrium in Nash’s mind

2020 ◽  
Author(s):  
Vasil Penchev
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
Human Brain ◽  
Set Theory ◽  
Donald Capps ◽  
Emergent Properties ◽  
Normal Brain ◽  
Actual Infinity ◽  
The Game Theory

Donald Capps suggested the hypothesis that “the Nash equilibrium is descriptive of the normal brain, whereas the game theory formulated by John van Neumann, which Nash’s theory challenges, is descriptive of the schizophrenic brain”. The paper offers arguments in its favor. They are from psychiatry, game theory, set theory, philosophy and theology. The Nash equilibrium corresponds to wholeness, stable emergent properties as well as to representing actual infinity on a material, limited and finite organ as a human brain.

scholarly journals Equilibrium in Nash’s mind

2020 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
Human Brain ◽  
Set Theory ◽  
Donald Capps ◽  
Emergent Properties ◽  
Normal Brain ◽  
Actual Infinity ◽  
The Game Theory

Donald Capps suggested the hypothesis that “the Nash equilibrium is descriptive of the normal brain, whereas the game theory formulated by John van Neumann, which Nash’s theory challenges, is descriptive of the schizophrenic brain”. The paper offers arguments in its favor. They are from psychiatry, game theory, set theory, philosophy and theology. The Nash equilibrium corresponds to wholeness, stable emergent properties as well as to representing actual infinity on a material, limited and finite organ as a human brain.

Model of Intrusion Detection Based on the Game Theory

2013 ◽  
Vol 347-350 ◽  
pp. 3971-3974 ◽  
Author(s):  
Heng Xiao ◽  
Cao Fang Long
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
Network Security ◽  
Intrusion Detection ◽  
Working Group ◽  
Ad Hoc ◽  
Game Model ◽  
The Game Theory ◽  
Network Application ◽  
Stage Game

With the development of network application, network security is facing greater pressure. Based on the characteristics of intrusion detection in the wireless network of the Ad hoc working group, the article introduces the game theory, proposes a game model of network security, concluds the Nash equilibrium in the stage game, repeats game, the pareto Nash equilibrium, more attack both income and payment, so that they get the best choice.

scholarly journals Multi-Robot Coordination Using Switching of Methods for Deriving Equilibrium in Game Theory

1970 ◽  
Vol 8 (2) ◽  
pp. 174-181
Author(s):  
Wataru Inujima ◽  
Kazushi Nakano ◽  
Shu Hosokawa
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
Target Tracking ◽  
Autonomous Robots ◽  
Stackelberg Equilibrium ◽  
Mathematical Tool ◽  
Control Performance ◽  
Game Situation ◽  
The Game Theory ◽  
Action Decision

The study of a Multi-Agent System using multiple autonomous robots has recently attracted much attention. With the problem of target a tracking as a typical case study, multiple autonomous robots decide their own actions to achieve the whole task which is tracking target. Each autonomous robot’s action influences each other. So, an action decision in coordination with other robots and the environment is needed to achieve the whole task effectively. The game theory is a major mathematical tool for realizing a coordinated action decision. The game theory mathematically deals with a multiagent environment influencing each other as a game situation. The conventional methods model one of the target tracking as a n-person general-sum game, and the use of the non-cooperative Nash equilibrium theory in non-cooperative games and the semi-cooperative Stackelberg equilibrium. The semicooperative Stackelberg equilibrium may obtain better control performance than the non-cooperative Nash equilibrium, but requires the communication among robots. In this study, we propose switching of methods in the equilibrium derivation both from the non-cooperative Nash equilibrium and the semicooperative Stackelberg equilibrium in a coordination algorithm for the target tracking. In the simulation, our proposed method achieves coordination with less connections than the method using the semicooperative Stackelberg equilibrium at all times. Furthermore, the proposed method shows better control performance than the non-cooperative Nash equilibrium.

A game theory approach to selecting marketing-mix strategies

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Mansour Abedian ◽  
Atefeh Amindoust ◽  
Reza Maddahi ◽  
Javid Jouzdani
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
Marketing Strategy ◽  
Equilibrium Model ◽  
Marketing Mix ◽  
Marketing Strategies ◽  
Theory Approach ◽  
Market Place ◽  
Content Type ◽  
The Game Theory

PurposeAdopting efficient marketing strategies is a challenging task in a competitive market place involving complex marketing planning, techniques and mechanisms to identify the best course of action under these circumstances and finding optimal solutions or stable outcomes. Decisions and strategies of competitors in the market influence the selection of the appropriate marketing strategy. The main purpose of this paper is to develop a mathematical methodology based on the game theory approach for planning optimal marketing-mix strategies in dynamic competitive markets, taking into account strategic foresight and interaction effects.Design/methodology/approachThe game theory approach, as a decision-making tool in conflict situations, is suggested for planning and adopting optimal marketing strategy. The main intellectual attraction of the game theory is essentially a question of how to act in gaming situations against highly rational opponents A kind of static, finite and non-cooperative game analytics approach has been developed for this issue, and the proposed model has been implemented to design optimal marketing strategies for two top brands of the automotive parts market in Iran.FindingsThe findings of this study show that the optimal marketing-mix strategy for brand A is pricing and for brand B is the product strategy.Practical implicationsGame theory and the Nash equilibrium model can provide a practical approach to find and adopt the right strategy, know competitors' movements and strategies and get more profit.Originality/valueThe integration of the game theory approach into the marketing mix framework has been adopted as a generalized model for marketing strategy planning and analysis as well as to resolve some shortcomings of the marketing mix framework. The Nash equilibrium model has been used to analyze the results. The incorporation of game theory into marketing models has the potential to enrich the scope of marketing modeling.

The Determination of Best Bid Price Quotation Based on Game Theory

2012 ◽  
Vol 155-156 ◽  
pp. 450-454
Author(s):  
Si Dong Xu ◽  
Xiao Li Cai ◽  
Wei Liu
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
Function Model ◽  
Factors Affecting ◽  
Price Function ◽  
Entire Process ◽  
Price Quotation ◽  
Bid Price ◽  
The Game Theory

This article was based on game theory; the author analyzed the various factors affecting the game theory, including player.strategy set. pay off.equilibrium and orders of the game. Besides, the author used Nash equilibrium theory to analyze the determination of one's own bid price and estimate rival bid price function, finally determined the entire process of one's quotation function model. In the end the author used the established function model and analysis an example to verify the feasibility of the model.

Analysis and Research of MAC Fairness in Ad Hoc Network Based on the Game Theory

2013 ◽  
Vol 303-306 ◽  
pp. 2079-2085
Author(s):  
Tang Yong
Keyword(s):  
Game Theory ◽  
Quality Of Service ◽  
Nash Equilibrium ◽  
Ad Hoc Network ◽  
Ad Hoc ◽  
Transmission Probability ◽  
Data Simulation ◽  
The Game Theory ◽  
Global Fairness

In the ad hoc network, the unfairness of the system will affect the quality of service seriously. This paper proposed a new algorithm---FBGT, the algorithm use successfully send rate as measurement parameter, and use the Nash equilibrium of game theory as each flow transmission probability. The algorithm calculate every flow’s successfully send rate, and then exchange with the neighbor nodes, combing with the node's own information and neighbor node information to determine the backoff time to improve the system fairness. Due to FBGT algorithm taking into account the system’s local and global fairness and throughput, experimental analysis and data simulation showed the system's fairness index has been increased by 10% - 15%, the throughput of the system has also been improved to a certain degree.

scholarly journals Comparative Study on Game-Theoretic Optimum Sizing and Economical Analysis of a Networked Microgrid

Energies ◽  
2019 ◽  
Vol 12 (20) ◽  
pp. 4004 ◽  
Author(s):  
Ali ◽  
Muyeen ◽  
Bizhani ◽  
Ghosh
Keyword(s):  
Game Theory ◽  
Nash Equilibrium ◽  
System Optimization ◽  
Electrical Load ◽  
Economical Analysis ◽  
The Game Theory ◽  
Shapley Values ◽  
Game Theoretic ◽  
The Impact ◽  
Theory Technique

In this paper, two techniques of game theory are considered for sizing and comparative analysis of a grid-connected networked microgrid, based on a multi-objective imperialistic competition algorithm (ICA) for system optimization. The selected networked microgrid, which consists of two different grid-connected microgrids with common electrical load and main grid, might have different combinations of generation resources including wind turbine, photovoltaic panels, and batteries. The game theory technique of Nash equilibrium is developed to perform the effective sizing of the networked microgrid in which capacities of the generation resources and batteries are considered as players and annual profit as payoff. In order to meet the equilibrium point and the optimum sizes of generation resources, all possible coalitions between the players are considered; ICA, which is frequently used in optimization applications, is implemented using MATLAB software. Both techniques of game theory, Shapley values and Nash equilibrium, are used to find the annual profit of each microgrid, and results are compared based on optimum sizing, and maximum values of annual profit are identified. Finally, in order to validate the results of the networked microgrid, the sensitivity analysis is studied to examine the impact of electricity price and discount rates on maximum values of profit for both game theory techniques.

Application of Soft Set in Game Theory

2019 ◽  
pp. 421-435 ◽  
Author(s):  
B. K. Tripathy ◽  
Sooraj T. R. ◽  
Radhakrishna N. Mohanty
Keyword(s):  
Game Theory ◽  
Decision Making ◽  
Fuzzy Sets ◽  
Set Theory ◽  
Fuzzy Set Theory ◽  
Choice Function ◽  
Soft Set ◽  
Mathematical Tool ◽  
Soft Sets ◽  
The Game Theory

In recent years, most of the applications in game theory have been developed based on the theory of fuzzy sets. But the inadequacy of the parameterization tool in fuzzy set theory leads to difficulties for decision making in the game theory. Soft sets were introduced by Molodtsov to overcome this problem in fuzzy sets and it was illustrated by him. Choice functions play an important role in game theory. Soft set theory gives an opportunity to construct new mathematical tool which keeps all good sides of choice function and eliminates its drawbacks. Also, decision making is an integral part of games and many researchers have applied soft set theory in decision making. In this chapter, the authors describe all these and propose some important improvements leading to better deals in game environments.

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