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Full-Text Articles in Physical Sciences and Mathematics
Probabilistic Methods In Information Theory, Erik W. Pachas
Probabilistic Methods In Information Theory, Erik W. Pachas
Electronic Theses, Projects, and Dissertations
Given a probability space, we analyze the uncertainty, that is, the amount of information of a finite system, by studying the entropy of the system. We also extend the concept of entropy to a dynamical system by introducing a measure preserving transformation on a probability space. After showing some theorems and applications of entropy theory, we study the concept of ergodicity, which helps us to further analyze the information of the system.
Thinking Poker Through Game Theory, Damian Palafox
Thinking Poker Through Game Theory, Damian Palafox
Electronic Theses, Projects, and Dissertations
Poker is a complex game to analyze. In this project we will use the mathematics of game theory to solve some simplified variations of the game. Probability is the building block behind game theory. We must understand a few concepts from probability such as distributions, expected value, variance, and enumeration methods to aid us in studying game theory. We will solve and analyze games through game theory by using different decision methods, decision trees, and the process of domination and simplification. Poker models, with and without cards, will be provided to illustrate optimal strategies. Extensions to those models will be …