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Debreu's Gap Theorem

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Summary

Debreu's fundamental result on the existence of utility functions that are continuous with respect to the order topology requires his Gap Theorem. A new proof of this result is given.

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References

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Authors and Affiliations

  1. Department of Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, CB2 1SB, Cambridge, UK

    A. F. Beardon

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  1. A. F. Beardon
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Beardon, A.F. Debreu's Gap Theorem. Econ Theory 2, 150–152 (1992). https://doi.org/10.1007/BF01213257

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  • DOI: https://doi.org/10.1007/BF01213257

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