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Trees and Extensive Forms

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
Contact details of provider: Web page: http://www.univie.ac.at/vwl

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  1. 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.
  2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
  3. 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.
  4. W. Pesendorfer & F. Gul, 1999. "Temptation and Self-Control," Princeton Economic Theory Papers 99f1, Economics Department, Princeton University.
  5. 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.
  6. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
    • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
  7. Carlos Alós Ferrer & Klaus Ritzberger, 2002. "Trees and Decisions," Vienna Economics Papers 0304, University of Vienna, Department of Economics.
  8. 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.
  9. Stinchcombe, Maxwell B., 1992. "Maximal strategy sets for continuous-time game theory," Journal of Economic Theory, Elsevier, vol. 56(2), pages 235-265, April.
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