
A Game Value Characterization of Algebraic Numbers
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A proof that a necessary and sufficient condition for a real number to be the value of a polynomial game over the unit square, with only integral coefficients in the payoff, is that it be an algebraic number.
This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.
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Citation
Format:Gross, Oliver Alfred, A Game Value Characterization of Algebraic Numbers. Santa Monica, CA: RAND Corporation, 1951. https://www.rand.org/pubs/research_memoranda/RM0705.html. Also available in print form.
Gross, Oliver Alfred, A Game Value Characterization of Algebraic Numbers, Santa Monica, Calif.: RAND Corporation, RM-0705-PR, 1951. As of August 02, 2022: https://www.rand.org/pubs/research_memoranda/RM0705.html