Skip to main content

Expected Utility with a Threshold Function

  • Conference paper

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 286))

Abstract

This paper examines an interval ordered structure in risky decision making and proves the existence of expected utility with a threshold function. Our interval ordered structure shows that the threshold function is a nonnegative linear functional. We also explore a special structure which gives a nonnegative constant threshold function.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aumann, R.J.(1962) Utility theory without the completeness axiom. Econometrica, 30, 445–462.

    Article  Google Scholar 

  • Fishburn, P.C.(1968) Semiorders and risky choices, J. Math. Psychol., 5, 358–361.

    Article  Google Scholar 

  • Fishburn, P.C.(1971) One-way expected utility with finite consequence spaces. Annals of Math. Statists., 42, 572–577.

    Article  Google Scholar 

  • Fishburn, P.C.(1982) Foundations of Expected Utility. Reidel.

    Google Scholar 

  • Fishburn, P.C.(1985) Interval Orders and Interval Graphs. Wiley.

    Google Scholar 

  • Luce, R.D.(1956) Semiorders and a theory of utility discrimination. Econometrica, 24, 178–191.

    Article  Google Scholar 

  • Luce, R.D.(1973) Three axiom systems for additive semiordered structures, SIAM J. Appl. Math., 25, 41–53.

    Article  Google Scholar 

  • Vedder, J.N.(1973) Multiattribute decision making under uncertainty using bounded intervals. In J.L. Cochrane and M. Zeleny (eds.), Multiple Criteria Decision Making. University of South Carolina Press, Columbia, South Carolina, 93–107.

    Google Scholar 

  • Vincke, P.(1980) Linear utility functions on semiordered mixture spaces. Econometrica, 48, 771–775.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nakamura, Y. (1987). Expected Utility with a Threshold Function. In: Sawaragi, Y., Inoue, K., Nakayama, H. (eds) Toward Interactive and Intelligent Decision Support Systems. Lecture Notes in Economics and Mathematical Systems, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46609-0_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46609-0_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17719-7

  • Online ISBN: 978-3-642-46609-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics