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First steps in constructive game theory
Author(s) -
Bridges Douglas S.
Publication year - 2004
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200310115
Subject(s) - constructive , minimax , mathematics , game theory , matrix (chemical analysis) , mathematical economics , minimax theorem , point (geometry) , calculus (dental) , computer science , geometry , process (computing) , medicine , materials science , dentistry , composite material , operating system
The minimax theorem of matrix game theory is examined from a constructive point of view. It is then shown that the existence of solutions for matrix games cannot be proved constructively, but that a 2‐by‐2 game with at most one solution has a constructible solution. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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