IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

On the Dynamics of Finite Memory Distributed Systems

Listed author(s):
  • Jamsheed Shorish
  • Victor Dorofeenko

We consider a kinetic equation approach to dynamical systems with finite memory, based upon a probabilistic approach given in Dorofeenko and Shorish (2004). This approach uses a master equation methodology to analytically model the dynamics of distributed systems with many heterogeneous agents, each agent possessing a fixed (zero-memory) strategy for pairwise interaction. The methodology allows one to consider spatially distributed populations of agents in a continuous space–continuous time model. We extend the techniques of this approach to models where agents may possess a finite memory of their encounters with other agents. This allows the analytical modeling of, for example, the 'tit-for-tat' strategy in a repeated Prinsoner’s Dilemma game, where agents remember their most recent encounter. We demonstrate that models of finite agent memory, where the outcome is determined by pairwise interactions between agents, lead to the emergence of collective (probabilistic) structures in both time and space. We also show that this extension requires a suitable redefinition of the 'characteristic time' of the system, in order to arrive at an analogue of the master equation in the fixed strategy environment.

To 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.

Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2004 with number 298.

in new window

Date of creation: 11 Aug 2004
Handle: RePEc:sce:scecf4:298
Contact details of provider: Web page:

More information through EDIRC

No references listed on IDEAS
You can help add them by filling out this form.

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:sce:scecf4:298. 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 you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.