Abstract
When the central diagonal element is ±1, the facts are considerably simpler. It again appears to be the case that unless both +1 and -1 occur on the diagonal, the game is irreducible. We shall show that when both do occur, the game always reduces to the 2 by 2 game \( \left[ {\begin{array}{*{20}{c}} { - 1}&v \\ 1&{ - 1} \end{array}} \right]{\text{ }}or{\text{ }}\left[ {\begin{array}{*{20}{c}} 1&{ - 1} \\ { - v}&1 \end{array}} \right] \) according as the central diagonal element is +1 or -1. Let us denote the diagonal elements (x1, x2,..., x2n+1).
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© 1991 Springer-Verlag Berlin Heidelberg
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Heuer, G.A., Leopold-Wildburger, U. (1991). Games with ±1 as central diagonal element. In: Balanced Silverman Games on General Discrete Sets. Lecture Notes in Economics and Mathematical Systems, vol 365. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95663-8_10
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DOI: https://doi.org/10.1007/978-3-642-95663-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54372-5
Online ISBN: 978-3-642-95663-8
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