scholarly journals Analysis of Strategic Interactions in the Armenia-Azerbaijan Nagorno-Karabakh Conflict Through the Prism of the Game Theory

Author(s):  
Jel’shan Medzhidov

Introduction. The paper attempts to analyze possible and probable strategic moves of the primary and secondary actors in the Armenia-Azerbaijan Nagorno-Karabakh conflict. Methods. To analyze this conflict the author uses the mathematical theory of games and some mathematical models and methods. The main methods and models include the following: Nash equilibrium, sequential game, Zermelos theorem, Zermelo-Kuno algorithm, and games with commitments. As the publication is an analytical and computational work, it mainly includes literature related to methodology and theory. Analysis. The publication not only contains the analysis of the strategic interactions between Armenia and Azerbaijan as primary actors, but also includes Russia as a secondary participant. Results. As a result, the author has drawn several conclusions. Firstly, the strategic interactions between two actors differ from strategic interactions among three actors in terms of possible payments and preferences. Secondly, in the strategic interactions between Armenia and Azerbaijan, the most likely interaction profile will be “A2 , B1 -C2 ” (not recognizing the independence of Nagorno Karabakh and not declaring war on Armenia) with a payment of “0:0”. The third conclusion is on the qualitative difference between the sequential game and the game with commitments among Armenia, Azerbaijan and Russia. In the second case, the Nash equilibrium consists of not recognizing the separatist regime by Armenia, not supporting Russia’s desire for Armenia to recognize and not declaring war on Armenia: SPNE = {E2, R4, A8}. However, unlike the first option, the equilibrium obtained in the game with commitments takes on a more stable structure in relation to different political processes.

2013 ◽  
Vol 347-350 ◽  
pp. 3971-3974 ◽  
Author(s):  
Heng Xiao ◽  
Cao Fang Long

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.


1968 ◽  
Vol 38 (3) ◽  
pp. 506-527 ◽  
Author(s):  
Arthur Stinchcombe

Political socialization may be thought of as having three aspects: the degree to which people interpret the conditions of their milieu in terms of distant political processes, the ideas of social causation with which they interpret such distant processes, and the interpretation of specific political events and structures of their country. This paper attempts to show that the first is determined mainly by men's educational and migration biography, the second mainly by men's occupational experience, and the third mainly by the history and structure of the political system men live under. The data come from a study of the contrasts between industrial bureaucrats and the traditional middle classes in steel cities in three South American countries, Chile, Argentina, and Venezuela.


1982 ◽  
Vol 23 (1) ◽  
pp. 94-103
Author(s):  
John A Lent

To produce a selected bibliography on Third World mass communications has become rather difficult in recent years, because of an abundance of materials. The controversy that led to and nourished the New World and International Information Order augmented the literature by many fold and in some cases impressively — though not always differently, as catch phrases and arguments on all sides of the debate were repeated almost slavishly in packaged articles and books reminiscent of the works of a public relations practitioner. The growth of journalism training, research and educational institutions — and a corresponding increase in teachers, researchers and writers — in Third World nations also produced a glut of information. Because of these factors and a space limitation, this bibliography is devoted almost entirely to books and monographs published between 1971 and 1981. A list of periodicals which carry Third World mass communications articles is added, with notations on special issues devoted to the topic. To do more than this concerning periodical literature is prohibitive in this article. Categories used are bibliographies; mass communications, broken down into general, advertising and public relations, broadcasting, film and press; communication and development in the Third World (including media's role in social change, national development and integration, rural development and revolutionary movements); communications, politics and governments in the Third World (including law of the press, political processes and ideologies, right to communicate and press freedom); and the New World and International Information Order and the Third World (including media imperialism, flow of news and information and national sovereignty). This listing in no way is meant to be exhaustive; instead, it is designed to serve as a basic bibliography of the most recent books and monographs written by researchers and scholars throughout the world, but mainly from the United States.


1993 ◽  
Vol 26 (1) ◽  
pp. 31-59 ◽  
Author(s):  
Patrick James

AbstractOver a decade ago, the federal Liberal government announced one of the most controversial policy initiatives in Canadian history, the National Energy Program (NEP). The bargaining that followed the NEP's announcement on October 28, 1980 is easily recalled; intense disagreements focussed on economic, partisan and, ultimately, constitutional issues. While these events have stimulated a wide range of investigations, a prominent gap exists in the scholarship: very few studies adopt a game-theoretic perspective. In seeking to explain strategic interaction over energy policy, such an approach might increase understanding of the difficult political processes surrounding the NEP in a wider context.These are five stages to the game-theoretic investigation that follows. First, a brief history of the phase of confrontation is provided. Second, the game-theoretic interpretation is presented in general terms, including participants, strategies and potential outcomes. Relevant measurements are derived in the third phase. In the fourth stage, the process of a sequential game is analyzed, in both abstract and operational terms. Fifth, and finally, policy-related implications of the analysis are discussed, along with possible directions for further research.


2017 ◽  
Vol 19 (04) ◽  
pp. 1750016 ◽  
Author(s):  
Irit Nowik ◽  
Tahl Nowik

We introduce a new sequential game, where each player has a limited resource that he needs to spend on increasing the probability of winning each stage, but also on maintaining the assets that he has won in the previous stages. Thus, the players’ strategies must take into account that winning at any given stage negatively affects the chances of winning in later stages. Whenever the initial resources of the players are not too small, we present explicit strategies for the players, and show that they are a Nash equilibrium, which is unique in an appropriate sense.


Author(s):  
Wataru Inujima ◽  
Kazushi Nakano ◽  
Shu Hosokawa

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.


Author(s):  
Tiancai Liao

In this paper, we establish a new phytoplankton-zooplankton model by considering the effects of plankton body size and stochastic environmental fluctuations. Mathematical theory work mainly gives the existence of boundary and positive equilibria, and shows their local as well as global stability in the deterministic model. Additionally, we explore the dynamics of V-geometric ergodicity, stochastic ultimate boundedness, stochastic permanence, persistence in the mean, stochastic extinction and the existence of a unique ergodic stationary distribution in the corresponding stochastic version. Numerical simulation work mainly reveals that plankton body size can generate great influences on the interactions between phytoplankton and zooplankton, which in turn proves the effectiveness of mathematical theory analysis. It is worth emphasizing that for the small value of phytoplankton cell size, the increase of zooplankton body size can not change the phytoplankton density or zooplankton density; for the middle value of phytoplankton cell size, the increase of zooplankton body size can decrease zooplankton density or phytoplankton density; for the large value of phytoplankton body size, the increase of zooplankton body size can increase zooplankton density but decrease phytoplankton density. Besides, it should be noted that the increase of zooplankton body size can not affect the effect of random environmental disturbance, while the increase of phytoplankton cell size can weaken its effect. There results may enrich the dynamics of phytoplankton-zooplankton models.


2020 ◽  
Author(s):  
Vasil Penchev

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.


Politeja ◽  
2019 ◽  
Vol 16 (5(62)) ◽  
pp. 103-115
Author(s):  
Mykola Polovyi

The paper is an attempt to estimate the influence of synergy in the long-term parameter of order in the nature of political processes in the Russian Federation in the third decade of the 21st century. Two interpretations of this synergetic parameter are proposed – one is based on I. Prigogine’s idea that every dissipative system experiences periods of deterministic and non-deterministic chaos. It incorporates a combination of time and the population of the state. The other is based on the modified ‘structurally-demographic’ approach of A. Korotayev and J. Goldstone. We consider the rate of annual growth in the number of urban young people as such a parameter is proposed. We predict that the Russian Federation will enter into the next period of indeterministic chaos due to the synergetic parameter of order in the next 33-40 years from the last point of bifurcation in 1991. Thus, we forecast the imminent onset of the next period of non-deterministic chaos in the Russian Federation in the second half of the third decade of the 21st century. An influence of several factors on the accuracy of the prognosis of political instability is assessed. It is stated that the probability of political instability in the Russian Federation in the years 2025-2030 caused by synergetic and structuraldemographic parameters of order will decreas under the additional influence of open borders and the high demand for jobs in the military services.


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