THINKING POKER THROUGH GAME THEORY

<p>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 presented, and we will show that optimal strategies still exist. Finally, we will close this paper with an original work to an extension that can be used as a medium to creating more extensions and, or, different games to explore.</p>

Name thesis:degree_name

Master of Arts in Mathematics

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2016

Author dc:creator

• Palafox, Damian

Contributors dc:contributor

• Joseph Chavez

• game theory
• probability
• poker
• expected value
• Other Applied Mathematics

Repository record dc:identifier

https://scholarworks.lib.csusb.edu/etd/314

OAI identifier oai:identifier

oai:scholarworks.lib.csusb.edu:etd-1378