Ergodicity and entropy in sequence spaces
- WCU Author/Contributor (non-WCU co-authors, if there are any, appear on document)
- Christopher Miglino (Creator)
- Institution
- Western Carolina University (WCU )
- Web Site: http://library.wcu.edu/
- Advisor
- Julia Barnes
Abstract: The infi nite permutations of possible moves in a game, or positions on a game
board, form a one-sided sequence space. We are working with a probability
measure on the space of measurable subsets of the sequence space. We are
studying a shift transformation on this space, which is measure preserving.
We explore conditions under which the shift transformation is ergodic and
calculate the entropy of the shift that is associated with the steady state of the
game where applicable. These concepts are exemplifi ed by the games Rock,
Paper, Scissors and Monopoly. We then create new games and study how the
properties of ergodicity and entropy change with respect to diff erent aspects of
the games.
Ergodicity and entropy in sequence spaces
PDF (Portable Document Format)
735 KB
Created on 4/1/2013
Views: 1918
Additional Information
- Publication
- Thesis
- Language: English
- Date: 2013
- Keywords
- Ergodic Theory, Games, Markov, Probability
- Subjects
- Measure-preserving transformations
- Sequence spaces
- Ergodic theory
- Entropy (Information theory)