Fibonacci numbers in a class of weighted majority games

Flavio Pressacco and Laura Ziani
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Flavio Pressacco: DIES - DIES - Dept. of Economics and Statistics - Università degli Studi di Udine - University of Udine [Italie]
Laura Ziani: DIES - DIES - Dept. of Economics and Statistics - Università degli Studi di Udine - University of Udine [Italie]

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Abstract: We define Fibonacci games as the subset of constant sum homogeneous weighted majority games whose increasing sequence of all type weights and the minimal winning quota is a string of consecutive Fibonacci numbers. Exploiting properties of the Fibonacci sequence, we obtain closed form results able to provide a simple and insightful classification and characterization of such games.

Keywords: minimal winning coalition; homogeneous representation; Fibonacci numbers; weighted majority games; type weight vector; satellite games. (search for similar items in EconPapers)
Date: 2015-09-02
New Economics Papers: this item is included in nep-gth
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