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.
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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