Skip to main content
SpringerLink
Log in

Analisi di superfici di utilità mediante funzioni di tipo spine bilineare

  • Published:
CALCOLO Aims and scope Submit manuscript

Abstract

In this paper we consider utility functions which depend on two attributes, and analize their characteristics using a model based on bilinear spline functions.

Subjective utility values are taken into account and fitted by means of a bilinear spline. In this way we may obtain a piecewise bilinear surface representing utility. This representation provides us a simple method to analize risk aversion and allows to derive inference procedures about the utility function. Numerical illustrations are included.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Bibliografia

  1. P. C. Fishburn,Decision and value theory (1964), Wiley, New York.

    MATH  Google Scholar 

  2. A. R. Gallant, W. A. Fuller,Fitting segmented polynomial regression models whose join points have to be estimated, J. Amer. Statist. Assoc.68 (1973), 144–147.

    Article  MATH  Google Scholar 

  3. S. Karlin, H. Rubin,The theory of decision procedures for distributions with monotone likelihood ratio, Ann. Math. Statist.27 (1956), 273–300.

    MathSciNet  Google Scholar 

  4. R. Keeney,Utility independence and preferences for multi-attributed consequences, Operations Res.19 (1971), 875–893.

    Article  MATH  MathSciNet  Google Scholar 

  5. D. J. Poirier,On the use of bilinear splines in economics, J. Econom.3 (1975), 23–34.

    Article  MATH  Google Scholar 

  6. J. W. Pratt,Risk aversion in the small and in the large, Econometrica32 (1964), 122–136.

    Article  MATH  Google Scholar 

  7. H. Scheffèfi The analysis of variance (1959), Wiley New York.

    Google Scholar 

  8. R. O. Schlaifer,Analysis of decisions under uncertainty (1969), Mc Graw-Hill, New York.

    Google Scholar 

  9. S. Wilks,Mathematical statistic (1962), Wiley, New York.

    Google Scholar 

  10. S. Zacks,The theory of statistical inference (1971), Wiley, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Calcolo delle Probabilità, Università di Roma, Roma, Italia

    F. Battaglia

Authors
  1. F. Battaglia
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Battaglia, F. Analisi di superfici di utilità mediante funzioni di tipo spine bilineare. Calcolo 15, 233–248 (1978). https://doi.org/10.1007/BF02575915

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02575915

Search

Navigation