Chaos in Learning a Simple Two Person Game
AbstractWe investigate the problem of learning to play a generalized rock-paper-scissors game. Each player attempts to improve her average score by adjusting the frequency of the three possible responses. For the zero-sum case the learning process displays Hamiltonian chaos. The learning trajectory can be simple or complex, depending on initial conditions. For the non-zero-sum case it shows chaotic transients. This is the first demonstration of chaotic behavior for learning in a basic two person game. As we argue here, chaos provides an important self-consistency condition for determining when adaptive players will learn to behave as though they were fully rational.
Download InfoTo our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
Bibliographic InfoPaper provided by Santa Fe Institute in its series Working Papers with number 01-09-049.
Date of creation: Sep 2001
Date of revision:
Contact details of provider:
Postal: 1399 Hyde Park Road, Santa Fe, New Mexico 87501
Web page: http://www.santafe.edu/sfi/publications/working-papers.html
More information through EDIRC
Game theory; learning; Nash equilibrium; chaos; rationality; Hamiltonian dynamics;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2001-10-16 (All new papers)
- NEP-EVO-2001-10-16 (Evolutionary Economics)
- NEP-MIC-2001-10-16 (Microeconomics)
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Dmitriy Cherkashin & J. Doyne Farmer & Seth Lloyd, 2009.
"The Reality Game,"
0902.0100, arXiv.org, revised Feb 2009.
- Manfred Nermuth & Carlos Alos-Ferrer, 2003.
"A comment on "The selection of preferences through imitation","
AccessEcon, vol. 3(7), pages 1-9.
- Carlos Alós-Ferrer & Manfred Nermuth, 2002. "A Comment on "The Selection of Preferences Through Imitation"," Vienna Economics Papers 0207, University of Vienna, Department of Economics.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel).
If references are entirely missing, you can add them using this form.