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An integrated axiomatic approach to the existence of ordinal and cardinal utility functions

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Summary

This paper presents a unified axiomatic treatment of the existence of ordinal and cardinal utility functions. The contribution of the paper is mainly pedagogical.

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References

  1. Billingsley, Patrick: 1968, Convergence of Probability Measures, John Wiley & Sons, Inc.

  2. Debreu, G.: 1959, Theory of Value, John Wiley.

  3. Gleason, Andrew: 1966, Fundamentals of Abstract Analysis, Addison-Wesley Publishing Company.

  4. Herstein, I. N. and J. W. Milnor: 1953, ‘An Axiomatic Approach to Measurable Utility’, Econometrica 21, 291–297.

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  5. Jarrow, Robert: 1984, ‘Herstein-Milnor Utility Functions and the Expected Utility Hypothesis: A Note’, working paper, Cornell University.

  6. Kelley, John L.: 1955, General Topology, Springer-Verlag.

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Authors and Affiliations

  1. Cornell University, Samuel Curtis Johnson Graduate School of Management, 14853, Ithaca, NY, USA

    Robert Jarrow

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  1. Robert Jarrow
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Jarrow, R. An integrated axiomatic approach to the existence of ordinal and cardinal utility functions. Theor Decis 22, 99–110 (1987). https://doi.org/10.1007/BF00126385

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  • DOI: https://doi.org/10.1007/BF00126385

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