جستجوی مقالات مرتبط با کلیدواژه "nash equilibrium" در نشریات گروه "ریاضی"

Understanding the social interactions between individuals and social groups whose decisions and the way they achieve their goals are interdependent, has been the basis for the formation of game theory. By expanding its scope of application from economics to general sciences, mathematics and then political science, game theory is a suitable platform for determining social balances in such a way that it has created the adoption of optimal strategies in cultural and social interactions. By analyzing comprehensive cognitive, economic and environmental issues in determining the policies of the macro-nations, this theory is of interest to experts and policymakers. Therefore, by localizing this theory, it is possible to take advantage of its capacities in the field of holistic analysis, examining different scenarios, providing possible solutions and forecasts in determining the macro-strategic policies of the country. In this regard, in this article, the necessity of using game theory in solving comprehensive cognitive problems with regard to the ecology of Shirvan city is investigated. For this purpose, the game theory will be investigated with a comprehensive cognitive approach, and then the famous patterns of game theory that are effective in analyzing people’s daily behavior by considering local and regional conditions will be studied and various examples will be presented in this field. Finally, the interaction of passengers and drivers in the intra-city transportation system of Shirvan city as an example of social behavior which has be analyzed according to the game theory is investigated.

Public health and most economic activities have been affected by the coronavirus pandemic. This has caused a lot of difficulties for the public and the governance. A suitable solution that balances public health and economic activities is essential. In this paper, we provide a game-theoretic approach to find this balance, given a desired priority ratio between the two. We propose a Stackelberg game where Corona National Headquarters is the leader, and the people are the followers. We find an optimal solution to the proposed game for different color zones based on the number of patients in a given region. We also find the mixed Nash equilibria of the proposed game and explain the effects of different model parameters on the equilibria. We introduce the optimal mix strategies for each player to control the outbreak. We illustrate the performance of the proposed model for different color zones at different stages of the total deaths curve of the outbreak. Finally, we incorporate the possibility of having inaccurate decisions in the model for real world applications. The proposed strategy could also be used to control other possible respiratory pandemics that spread through close human contacts.

Today, the application of game theory has been proven in many sciences. However, for many years, many sciences such as economics, sociology, and politics have been progressing in a less than favorable way; because according to the personal and social situation of the players, different results can be obtained from the same game. Meanwhile, knowing the behavior of each player and its mathematical inference requires prerequisites, which include knowing the beliefs and culture of the society in which he lives. Meanwhile, the value of the literary treasure of that society cannot be ignored. Therefore, the authors of this article decided to open the way by examining three anecdotes of Saadi’s Golestan in the form of a game.