Discrete Mathematics and Mathematical Programming
This course will introduce the students to the basic ideas and techniques of mathematical game theory in an interdisciplinary context. On successful completion of this course, students should be able to: CLO 1. A Demonstrate an excellent understanding of key concepts and ideas of Game Theory by being able to identify the appropriate theorems and their applications through correctly analysing problems, clearly and elegantly presenting correct logical reasoning and being able to carry out computations carefully and correctly, and with some innovative approaches to solving problems.
Demonstrate a good understanding of key concepts and ideas of Game Theory by being able to identify the appropriate theorems and their applications through correctly analysing problems, but with some minor inadequacies in arguments, identifying the appropriate theorems or their applications and presentation or with some minor computational errors.
Demonstrate an acceptable understanding of key concepts and ideas of Game Theory by being able to correctly identify appropriate theorems, but with some inadequacies in applying the theorems through incorrectly analysing problems with poor argument and presentation or a number of minor computational errors. Demonstrate some understanding of key concepts and ideas of Game Theory by being able to correctly identify appropriate theorems, but with substantial inadequacies in applying the theorems through incorrectly analysing problems with poor argument or presentation or with substantial computational errors.
The book generally shows how one can use game theory to prove probabilistic results. Versions of the minimax theorem can be used to prove results in convex analysis. There is even a journal called Minimax Theory and its Applications.
It is probably the most useful mathematical tool that came out of game theory. Konrad Podczeck and I have a purification theorem for measure-valued maps whose proof is at least heavily based on game theoretic intuitions. I would say the most useful applications of game theory to other areas of mathematics are based on zero-sum games, which are of least interest from the perspective of game theory as a tool of social sciences.
Well, here is one. A game-theoretic proof of Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for fair-coin tossing, Tanaka, Kazuyuki , A game-theoretic proof of analytic Ramsey theorem , Z.
Logik Grundlagen Math. And this very nice post by Francois Dorais who used to be an active contributor here on Fraisse's theorem. Marshall, A. This is perhaps explained, in light of the Tarskian recursive definition of truth, by the more general fact that the principle of clopen determinacy is exactly equivalent over GBC to the principle of transfinite recursion over well-founded class relations.
Game theory | mathematics | didrilodidi.cf
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Asked 2 years, 5 months ago. Active 2 years, 1 month ago. Viewed 1k times. I am not Paul Erdos.
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- Game theory?
- Journal of Dynamics & Games.
- Cooperative Game Theory and Its Application in Localization Algorithms.
- The Future of Just War: New Critical Essays;
- The Far Stars War (The War Years, Book 1).
- Introducing Game Theory and its Applications - CRC Press Book.
- American Institute of Mathematical Sciences.
The content is on the set theory side. That is, advanced game-theoretic considerations don't play a real role here.