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Axioms and Counterexamples Expected Utility Theory

  • Kazuhisa Takemura
Chapter

Abstract

Chapter 5 explained the relevance between the initial idea of expected utility theory and psychology and introduced some studies of utility measurement based on expected utility theory. This chapter will first explain the axiomatic system of expected utility theory, then how to approach the axiomatic system, with introduction of some counterexamples.

Keywords

Preference Relation Utility Theory Axiomatic System Expected Utility Theory Ambiguity Aversion 
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.

References

  1. Allais, M. (1953). Le comportement de l’homme rationnel devant le risque: Critique des postulates et axiomes de l’ ecole Americaine. Econometrica, 21, 503–546.CrossRefGoogle Scholar
  2. Barberà, S., Hammond, P. J., & Seidl, C. (Eds.). (1998). Handbook of utility theory, vol. 1: Principles. Dordrecht: Kluwer Academic Publishers.Google Scholar
  3. Bell, D. E., Raiffa, H., & Tversky, A. (1988). Descriptive, normative, and prescriptive interactions in decision making. In D. E. Bell, H. Raiffa, & A. Tversky (Eds.), Decision making: Descriptive, normative, and prescriptive interactions (pp. 9–30). New York: Cambridge University Press.CrossRefGoogle Scholar
  4. Edwards, W. (Ed.). (1992). Utility theories: Measurement and applications. Boston: Kluwer Academic Publishers.Google Scholar
  5. Ellsberg, D. (1961). Risk, ambiguity, and the Savage axiom. Quarterly Journal of Economics, 75, 643–669.CrossRefGoogle Scholar
  6. Fishburn, P. C. (1988). Nonlinear preference and utility theory. Sussex: Wheatsheaf Books.Google Scholar
  7. Ichikawa, A. (1983). Ishiketteiron: Enjiniaringu saiensu kouza33 [Decision-making theory: Engineering science course 33]. Tokyo: Kyoritsu Publishing.Google Scholar
  8. Iverson, G., & Luce, R. D. (1998). The representational measurement approach to problems. In M. H. Birnbaum (Ed.), Measurement, judgment, and decision making (pp. 1–79). San Diego: Academic.CrossRefGoogle Scholar
  9. Jensen, N. E. (1967). An introduction to Bernoullian utility theory. I. Utility functions. Swedish Journal of Economics, 69, 163–183.CrossRefGoogle Scholar
  10. Savage, I. R. (1954). The foundations of statistics. New York: Wiley.Google Scholar
  11. Schultz, D. (1981). A history of modern psychology (3rd ed.). New York: Academic [Murata, K. (Trans.). (1986). Gendai shinrigaku no rekishi. Tokyo: Baifukan].Google Scholar
  12. Slovic, P., & Tversky, A. (1974). Who accepts savage’s axiom? Behavioral Science, 19, 368–373.CrossRefGoogle Scholar
  13. Takemura, K. (1996). Ishikettei to sono shien [Decision-making and support for decision-making]. In S. Ichikawa (Ed.), Ninchi shinrigaku 4kan shikou [Cognitive psychology vol. 4 thoughts] (pp. 81–105). Tokyo: University of Tokyo Press.Google Scholar
  14. Tamura, H., Nakamura, Y., & Fujita, S. (1997). Koyo bunseki no suri to oyo [Mathematical principles and application of utility analysis]. Tokyo: Corona Publishing.Google Scholar
  15. Tversky, A., & Kahneman, D. (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty, 5, 297–323.CrossRefGoogle Scholar
  16. von Neumann, J., & Morgenstern, O. (1944/1947). Theory and games and economic behavior. Princeton: Princeton University Press.Google Scholar

Copyright information

© Springer Japan 2014

Authors and Affiliations

  • Kazuhisa Takemura
    • 1
  1. 1.Department of PsychologyWaseda UniversityTokyoJapan

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