The Deegan–Packel and Holler–Packel indices: partnership equivalence and the entry of a new voter

Adin Safokem (), Aurélien Mekuko Yonta () and Issofa Moyouwou ()
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Adin Safokem: University of Yaounde I
Aurélien Mekuko Yonta: University of Yaounde I
Issofa Moyouwou: University of Yaounde I

Mathematical Methods of Operations Research, 2025, vol. 102, issue 1, No 1, 28 pages

Abstract: Abstract For simple games with a variable electorate, the paper presents two axiomatization results on two power indices: the Deegan–Packel index and the Holler–Packel index. Besides the well-known axiom of efficiency, axioms based on partnership equivalence and the entry of a new voter are taken into account. Only one axiom changes from one axiomatization to the next on how the two power indices under consideration cope with the entry of a new voter.

Keywords: Game theory; Deegan–Packel index; Holler–Packel index; Equivalent games; Supplementation (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00186-025-00900-8

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