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Essay / Numerical investigation method: game theory
Table of contentsIntroductionHistoryTypes of gamesGeneral and applied usesWhat game theory still has to doIntroductionIt is characterized as a method of numerical investigation of irreconcilable situations to obtain the basic leadership alternatives the most ideal ones in light of the given current situation to achieve the ideal results. Its applications in many areas of sociology, as well as in logic and software engineering. Say no to plagiarism. Get a tailor-made essay on “Why Violent Video Games Should Not Be Banned”? Get an Original EssayInitially, these were zero-sum games, in which one person's winnings lead to losses for the other participant. Today, game theory applies to a broad domain of behavioral relationships and is not a path forward for the science of logical decision-making in humans and computers. John von Neumann and John Nash, along with economist Oskar Morgenstern, are the pioneers of game theory.HistoryThe beginning (game theory) is said to have begun in the hands of the Jews in the Babylonian Talmud (0 - 500 AD). ). And also, some writings by some like James Waldegrave (1713 AD) in his letter to Pierre-Remond de Montmort, which he sent to Nicolas Bernoulli accompanied by a discussion of what James Waldegrave wrote. Augustin Cournot (Research on the mathematical principles of the Theory of Wealth) (1838 AD) which is a limited version of the Nash equilibrium. And also, the book by Francis Yessidro Edgorth (1881 AD), an article on the application of mathematics to the moral sciences. Zermelo's theory (1913 AD) is the first theory of game theory published by E. Zermelo in his article (Uber eine Anwendung der Mengenlehre auf die Theorie des Schachspiels) which talked about strategies for chess. Game theory was no longer an independent scientific field until John von Neumann (1944) and Oskar Morgenstern published their Theory of Games and Economic Behavior, which helped make gaming more interesting. theory is an independent field of study. John Nash makes an important contribution to us in four articles between (1950-53). In the first two papers, he establishes equilibrium points for N-person games and non-cooperative games, and these two papers are known to us as Nash equilibrium. proposed the Nash equilibrium in the study of cooperative games via their reduction to a non-cooperative form. he founded the axiomatic theory of negotiation in his other two articles, Bargaining Problem and Two-Person Cooperative Games. proved the existence of the Nash trading solution and provided the first execution of the Nash equilibrium. Towards the end of this decade (late 1950s), the first studies on repeated games were carried out. The main result to be shown at that time was the popular theorem. This states that the equilibrium outcomes in an infinitely reiterated game agree with the practical and highly individually rational outcomes of the one-shot game on which it is based. the synthesis of the theorem is obscure. (1988) A Theory of Learning, Experimentation, and Equilibria by Drew Fudenberg and David Kreps, which attacks the learning problem (how agents learn to balance) of the Nash equilibrium. Types of games Game theory distinguishes several forms of games, depending on the number of players and the conditions of the game itself. Cooperative / Non-cooperativeSolitaire is an individual game, where there is no real conflict of interest because the only interest here is that of the individual. In this game, luck or chance is the basic structure of the game, depending on the shuffle of the cardsand that the player has good papers distributed at random. Although probability theory is concerned with individual games, it is not a favorite subject of game theory because no opponent takes an independent approach that competes with the other player's options. Symmetric /AsymmetricIn game theory, we tell a game what a symmetric game is when it comes to playing a particular strategy. It depends only on the other strategies used, not on who is playing. If it is possible to change the identity of the players without changing the exit strategies, the game is symmetrical. Parity can be achieved in different ways. Zero Sum/Non-Zero Sum If the total profit at the end of the game is zero, the game is zero sum, and in these games the amount or probability of profit is exactly equal to the amount or probability of loss, which is equivalent to the term economic parity analysis which expresses access to the point of loss and no loss or no production and no depreciation. In 1944, Von Neumann and Oskar Morgensten showed that a total zero-sum person could be extended to an N+1 person in a zero-sum game, so that N+1 games could be generalized from the special case zero-sum binary. games. One of the most important questions raised in this field is that the principles of maximization and reduction apply to all zero-sum binary games. This term is known as the reduction-maximization problem. This was proven by Newman in 1928, and others have proven to be multi-layered. Keep in mind: this is just a sample. Get a personalized article from our expert writers now. Get a Custom Essay General and Applied Uses The application of game theory is wide and manifold. The authors of the von Neumann-Morgenstein theory emphasized that the effective tool of game theory must be closely related to economics and consumer behavior. Economic models, especially the market economy model, the perfect competition market are ideal for testing the hypotheses of game theory and the strong use of game theory in the operations research department, which deals with the questions maximizing profits and reducing costs. Game theory is also closely related to sociology and is widely used in politics. According to many scientists, quantum physics and many applications to explain human cognition and thought patterns are illogical. What Game Theory Still Has to Do This is a fantastic method for describing the structure of many multi-individual basic leadership situations, particularly specific types of market rivalry with fixed innovations and businesses, and activity global, and this is only the beginning. This is true if we apply harmonious ideas. (I heard Schelling say that the best thing in game theory was the innovation of the very useful game matrix.) The methodological suspicion that a social wonder can be understood as the equilibrium of a fundamental game takes into consideration various elements of knowledge to be gathered. by constructing what is considered to be the game in progress. This bodes well if the wonder displays some sort of security, but many wonders have such solidity, and the balance review is customized for these cases. There is much written about the game theory of social networks – both the games played on the systems and the cycles of arrangement of the systems. . An interpersonal organization provides a digital method for structuring collaboration in entertainment that integrates.