Finite Memory Distributed Systems
A distributed system model is studied, where individual agents engage in repeated play against each other and can change their strategies based upon previous play. Similar to Dorofeenko and Shorish (2005), it is shown how to model this environment in terms of continuous population densities (probabilities) of agent types. A complication arises because the population densities of different strategies depend upon each other not only through game payoffs, but also through the strategy distributions themselves. In spite of this, it is shown that when an agent imitates the strategy of his previous opponent and the rate of this imitation is high enough, the system of master equations which govern the dynamical evolution of agent populations can be reduced with high precision to one equation for the total population. In a sense, the dynamics of the full system can 'collapse' to the dynamics of the entire system taken as a whole, which describes the behavior of all types of agents. We explore the implications of this model, and present both analytical and simulation results
To our knowledge, this item is not available for
download. To find whether it is available, there are three
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.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Joshua M. Epstein & Robert L. Axtell, 1996. "Growing Artificial Societies: Social Science from the Bottom Up," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262550253.
When requesting a correction, please mention this item's handle: RePEc:sce:scecfa:333. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum)
If references are entirely missing, you can add them using this form.