Zermelo and the Early History of Game Theory |
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| Institution: | 1. Department of Economics, University of Hohenheim, 70593, Stuttgart, Germany;2. Department of Economics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand;1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel;2. INSEAD, Bd. de Constance, 77305 Fontainebleau Cedex, France;3. Department of Economics, University of Pittsburgh, 230 S. Bouquet St., Pittsburgh 15260, USA |
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| Abstract: | In the modern literature on game theory there are several versions of what is known as Zermelo's theorem. It is shown that most of these modern statements of Zermelo's theorem bear only a partial relationship to what Zermelo really did. We also give a short survey and discussion of the closely related but almost unknown work by König (1927, Acta Sci. Math. Szeged, 3, 121–130) and Kálmar (1928/29, Acta Sci. Math. Szeged, 4, 65–85). Their papers extend and considerably generalize Zermelo's approach. A translation of Zermelo's paper is included in the Appendix. Journal of Economic Literature Classification Numbers: B19; C70; C72. |
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