Trees and Extensive Forms
AbstractThis paper addresses the question of what it takes to obtain a well-de?ned extensive form game. Without relying on simplifying ?niteness or discreteness assumptions, we characterize the class of game trees for which (a) extensive forms can be de?ned and (b) all pure strategy combinations induce unique outcomes. The generality of the set-up covers “exotic” cases, like stochastic games or decision problems in continuous time (di?erential games). We ?nd that the latter class ful?lls the ?rst, but not the second requirement.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University of Vienna, Department of Economics in its series Vienna Economics Papers with number 0506.
Date of creation: May 2005
Date of revision:
Contact details of provider:
Web page: http://www.univie.ac.at/vwl
Other versions of this item:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-11-05 (All new papers)
- NEP-GTH-2005-11-05 (Game Theory)
- NEP-RES-2005-11-05 (Resource Economics)
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.:
- Eddie Dekel, 1997.
"A Unique Subjective State Space for Unforeseen Contingencies,"
1202, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
- W. Pesendorfer & F. Gul, 1999.
"Temptation and Self-Control,"
Princeton Economic Theory Papers
99f1, Economics Department, Princeton University.
- Piccione, Michele & Rubinstein, Ariel, 1997.
"On the Interpretation of Decision Problems with Imperfect Recall,"
Games and Economic Behavior,
Elsevier, vol. 20(1), pages 3-24, July.
- Rubinstein, Ariel, 1995. "On the Interpretation of Decision Problems with Imperfect Recall," Mathematical Social Sciences, Elsevier, vol. 30(3), pages 324-324, December.
- Carlos Alós-Ferrer & Klaus Ritzberger, 2005.
"Trees and decisions,"
Springer, vol. 25(4), pages 763-798, 06.
- Robert J. Aumann & Sergiu Hart, 2003.
"Long Cheap Talk,"
Econometric Society, vol. 71(6), pages 1619-1660, November.
- Rubinstein, Ariel, 1982.
"Perfect Equilibrium in a Bargaining Model,"
Econometric Society, vol. 50(1), pages 97-109, January.
- Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
- Stinchcombe, Maxwell B., 1992. "Maximal strategy sets for continuous-time game theory," Journal of Economic Theory, Elsevier, vol. 56(2), pages 235-265, April.
- Friedman, Avner, 1994. "Differential games," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 22, pages 781-799 Elsevier.
- Alós-Ferrer, Carlos & Prat, Julien, 2012.
"Job market signaling and employer learning,"
Journal of Economic Theory,
Elsevier, vol. 147(5), pages 1787-1817.
- Carlos Alós-Ferrer & Klaus Ritzberger, 2013. "Large extensive form games," Economic Theory, Springer, vol. 52(1), pages 75-102, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Paper Administrator).
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.