Proof that There is no Algorithm to the Optimal Work Assignment in Constructive Mathematics

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Proof that There is no Algorithm to the Optimal Work Assignment in Constructive Mathematics

Authors

Keming Miao

Rubric:Mathematical and instrumental methods in economics
195
12
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195
12

Annotation

This paper proves that in constructive mathematical economics, there could not exist an algorithm that always does the optimal assignment of workers to the working positions. The main method is based on the fact that there does exists a computable function that does not admit an everywhere defined computable extension.

Keywords

Constructive Mathematics
Economics
Optimal Work Assignment

Authors

Keming Miao

Rubric:Mathematical and instrumental methods in economics
195
12

References:

  1. N.K. Vereshchagin, A.Shen, Computable Functions. (2002). Amer Mathematical Society.
  2. B. A. Kushner, Lectures on Constructive Mathematical Analysis. (1984). Amer Mathematical Society.
  3. E. Bishop, M. Beeson, Foundations of Constructive Analysis. (2012). Ishi Press.

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