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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- 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.
- W. Pesendorfer & F. Gul, 1999.
"Temptation and Self-Control,"
Princeton Economic Theory Papers
99f1, Economics Department, Princeton University.
- Rubinstein, Ariel, 1982.
"Perfect Equilibrium in a Bargaining Model,"
Econometric Society, vol. 50(1), pages 97-109, January.
- Stinchcombe, Maxwell B., 1992. "Maximal strategy sets for continuous-time game theory," Journal of Economic Theory, Elsevier, vol. 56(2), pages 235-265, April.
- 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.
- 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.
- 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.
- 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.
- Alós-Ferrer, Carlos & Ritzberger, Klaus, 2003.
"Trees and Decisions,"
129, Institute for Advanced Studies.
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