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Fibonacci numbers in a class of weighted majority games

Author

Listed:
  • 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])

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.

Suggested Citation

  • Flavio Pressacco & Laura Ziani, 2015. "Fibonacci numbers in a class of weighted majority games," Working Papers hal-01196209, HAL.
    • Handle: RePEc:hal:wpaper:hal-01196209
    Note: View the original document on HAL open archive server: https://hal.science/hal-01196209
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