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

Similar Actions and Cooperation in the Centipede Played by Automata

Listed author(s):
  • Agostino Manduchi

This paper analyzes the evolutionary dynamics of a modified version of Rosenthal's ``centipede,'' whereby the players' strategies are represented by finite-state automata. In the framework considered, the automata required to implement different strategies may differ among them both with respect to their complexity, and with respect to their cost. This is due to the possibility that the players have to identify similar situations, and similar actions, across different information sets. This modification of the original game introduces an unstable equilibrium at which all strategies are represented in the populations of the players. With the unperturbed replicator dynamics, the system eventually converges to some point belonging to a continuum of rest-points that the present model shares with the evolutionary version of Rosenthal's original game. The transient phase--- characterized by fluctuations in the fractions of the two populations adopting different automata---can however be relatively long. Furthermore, numerical results point to the fact that small perturbations can turn the fluctuations characterizing the convergent paths of the unperturbed system into persistent phenomena. In this case, the players' payoffs can be significantly higher than those achievable at the Nash-equilibria.

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 Santa Fe Institute in its series Working Papers with number 98-06-053.

in new window

Date of creation: Jun 1998
Handle: RePEc:wop:safiwp:98-06-053
Contact details of provider: Postal:
1399 Hyde Park Road, Santa Fe, New Mexico 87501

Web page:

More information through EDIRC

References listed on IDEAS
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.:

in new window

  1. Cressman, R. & Schlag, K. H., 1998. "The Dynamic (In)Stability of Backwards Induction," Journal of Economic Theory, Elsevier, vol. 83(2), pages 260-285, December.
  2. Binmore, K. & Samuelson, L., 1995. "Evolutionary Drift and Equilibrium Selection," Working papers 9529, Wisconsin Madison - Social Systems.
Full references (including those not matched with items on IDEAS)

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:wop:safiwp:98-06-053. 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: (Thomas Krichel)

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.