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Trees and Extensive Forms

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This 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.

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File URL: http://homepage.univie.ac.at/Papers.Econ/RePEc/vie/viennp/vie0506.pdf
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Paper provided by University of Vienna, Department of Economics in its series Vienna Economics Papers with number 0506.

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Date of creation: May 2005
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Handle: RePEc:vie:viennp:0506

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Web page: http://www.univie.ac.at/vwl

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  1. Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Center for the Study of Rationality, Hebrew University, Jerusalem, revised Nov 2002.
  2. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  3. W. Pesendorfer & F. Gul, 1999. "Temptation and Self-Control," Princeton Economic Theory Papers 99f1, Economics Department, Princeton University.
  4. Rubinstein, Ariel, 1995. "On the Interpretation of Decision Problems with Imperfect Recall," Mathematical Social Sciences, Elsevier, vol. 30(3), pages 324-324, December.
  5. Eddie Dekel, 1997. "A Unique Subjective State Space for Unforeseen Contingencies," Discussion Papers 1202, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. 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.
  7. Carlos Alós Ferrer & Klaus Ritzberger, 2002. "Trees and Decisions," Vienna Economics Papers 0304, University of Vienna, Department of Economics.
  8. Stinchcombe, Maxwell B., 1992. "Maximal strategy sets for continuous-time game theory," Journal of Economic Theory, Elsevier, vol. 56(2), pages 235-265, April.
  9. 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.
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Cited by:
  1. Julien Prat & Carlos Alos-Ferrer, 2007. "Job Market Signaling and Employer Learning," 2007 Meeting Papers 648, Society for Economic Dynamics.
  2. Carlos Alós-Ferrer & Klaus Ritzberger, 2013. "Large extensive form games," Economic Theory, Springer, vol. 52(1), pages 75-102, January.
  3. Julio González-Díaz & Miguel Meléndez-Jiménez, 2014. "On the notion of perfect Bayesian equilibrium," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 22(1), pages 128-143, April.

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