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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
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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
800
19
Share
800
19
References:
- N.K. Vereshchagin, A.Shen, Computable Functions. (2002). Amer Mathematical Society.
- B. A. Kushner, Lectures on Constructive Mathematical Analysis. (1984). Amer Mathematical Society.
- E. Bishop, M. Beeson, Foundations of Constructive Analysis. (2012). Ishi Press.
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