Backward Induction Without Tears?

  • Jordan Howard Sobel
Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 2)


Weak Solution Causal Decision Theory Inductive Generalization Robust Knowledge Traditional Idealisation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Aumann R. (1995). “Backward Induction and Common Knowledge of Rationality,” Games and Economic Behavior 8:6–19.Google Scholar
  2. ____ (1996). “Deriving Backward Induction in the Centipede Game without Assuming Rationality at Unreached Vertices,” for presentation at Workshop on Game Theory, August 15, 1996. (Dated July 2, 1996, this paper agrees with “On the Centipede Game,” Games and Economic Behaviour 23:97–105, 1998, received July 10, 1996.)Google Scholar
  3. Basu K. (1990). “On the Non-Existence of a Rationality definition for Extensive Games,” International Journal of Game Theory 19:33–44.Google Scholar
  4. Bicchieri C. (1993). Rationality and Coordination, Cambridge: Cambridge University Press.Google Scholar
  5. Broome J. and Rabinowicz W. (1999). “Backwards Induction in the Centipede Game,” Analysis 59:237–242.MathSciNetGoogle Scholar
  6. Ginet C. (1962). “Can the Will Be Caused?” Philosophical Review 71:49–55.Google Scholar
  7. Jeffrey R. (1990). The Logic of Decision: Second Edition (paperback edition). Chicago: University of Chicago Press.Google Scholar
  8. Lewis D. (1970). Counterfactuals. Cambridge, MA: Harvard University Press.Google Scholar
  9. Rabinowicz W. (1995). “To Have One’s Cake and Eat It, Too: Sequential Choice and Expected-utility Violations,” Journal of Philosophy 92:586–620.Google Scholar
  10. ____ (1996). “Grappling with the Centipede: Defence of Backward Induction for BI-terminating Games,” Lund Philosophy Reports. (Revised August 20, 1997.)Google Scholar
  11. ____ (1999). “Some Remarks on Thorsten Clausing’s The Logical Modelling of Reasoning Processes in Games (manuscript).Google Scholar
  12. Reny P. (1986). Rationality, Common Knowledge and the Theory of Games, Ph.D. Dissertation, Princeton University.Google Scholar
  13. ____ (1993). Journal of Economic Theory 59:257–274.Google Scholar
  14. Rosenthal R. (1981). “Games of Perfect Information, Predatory Pricing and Chain-Store Paradox,” Journal of Economic Theory 25:92–100.Google Scholar
  15. Sobel J.H. (1970). “Utilitarianisms: Simple and General,” in Inquiry 13:394–449.Google Scholar
  16. ____ (1994). Chapter 11 “Maximization, Stability of Decision, and Actions in Accordance with Reason,” Chapter, 14, “Hyperrational Games,” and Chapter 16, “Backward Induction Arguments: A Paradox Regained,” in Taking Chances: Essays on Rational Choice, Cambridge: Cambridge University Press 1994 (Chapter 11 revised from Philosophy of Science 1990, and Chapter 16 revised from Philosophy of Science 1993 — a working revised version of Chapter 14 is linked to my home page, Scholar
  17. ____ (2001). “Money Pumps,” Philosophy of Science, 242–257.Google Scholar
  18. Stalnaker R. (1996). “Knowledge, Belief and Counterfactual Reasoning in Games,” Economics and Philosophy 12, 133–63.Google Scholar
  19. Sugden R. (1991). “Rational Choice: A Survey of Contributions from Economics and Philosophy,” The Economic Journal 101: 751–85.Google Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • Jordan Howard Sobel
    • 1
  1. 1.University of TorontoToronto

Personalised recommendations