Stochastic games with endogenous transitions
We introduce a stochastic game in which transition probabilities depend on the history of the play, i.e., the players’ past action choices. To solve this new type of game under the limiting average reward criterion, we determine the set of jointly-convergent pure-strategy rewards which can be supported by equilibria involving threats. We examine the following setting for motivational and expository purposes. Each period, two agents exploiting a fishery choose between catching with restraint or without. The fish stock is in either of two states, High or Low, and in the latter each action pair yields lower payoffs. Restraint is harmless to the fish, but it is a dominated strategy in each stage game. Absence of restraint damages the resource, i.e., the less restraint the agents show, the higher the probabilities that Low occurs at the next stage of the play. This state may even become ‘absorbing’, i.e., transitions to High become impossible.
|Date of creation:||25 Nov 2010|
|Contact details of provider:|| Postal: Deutschhausstrasse 10, 35032 Marburg|
Web page: http://www.uni-marburg.de/fb19/
More information through EDIRC
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.:
- Reinoud Joosten & Thomas Brenner & Ulrich Witt, 2003. "Games with frequency-dependent stage payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(4), pages 609-620, 09.
- Bulte, Erwin H., 2003.
"Open access harvesting of wildlife: the poaching pit and conservation of endangered species,"
Blackwell, vol. 28(1), pages 27-37, January.
- Bulte, Erwin H., 2003. "Open access harvesting of wildlife: the poaching pit and conservation of endangered species," Agricultural Economics of Agricultural Economists, International Association of Agricultural Economists, vol. 28(1), January.
- Bulte, E.H., 2003. "Open access harvesting of wildlife : The poaching pit and conservation of endangered species," Other publications TiSEM 8c68c5f0-e72a-49bb-a44c-c, Tilburg University, School of Economics and Management.
- repec:cor:louvrp:-636 is not listed on IDEAS
- AMIR, Rabah, "undated". "Stochastic games in economics and related fields: an overview," CORE Discussion Papers RP 1664, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," CORE Discussion Papers 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Joosten Reinoud & Peters Hans & Thuijsman Frank, 1995. "Unlearning by Not Doing: Repeated Games with Vanishing Actions," Games and Economic Behavior, Elsevier, vol. 9(1), pages 1-7, April.
- Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
- FORGES, Françoise, "undated". "An approach to communication equilibria," CORE Discussion Papers RP 721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- F. Forges, 2010. "An Approach to Communication Equilibrium," Levine's Working Paper Archive 516, David K. Levine.
- Forges, F., 1984. "An approach to communication equilibria," CORE Discussion Papers 1984035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
When requesting a correction, please mention this item's handle: RePEc:esi:evopap:2010-24. 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: (Christoph Mengs)
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.