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<p>Faced with the classic paradoxes of voting, system designers have sometimes offered hybrid systems. The paper reviews Condorcet–Borda hybrids proposed by Daunou, Dodgson, Nanson, and Kemeny; and Borda-Balinski hybrids in use in at least one scientific academy. The justification of the hybrids is practical rather than theoretical, as they cannot escape the known features of their parent systems. In particular, as Condorcet showed in 1788, all Borda systems violate independence of irrelevant alternatives (in some formulation).</p>

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Hybrid choice systems in small-n elections with sophisticated electorates

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月8日

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  • Iain McLean

摘要

Faced with the classic paradoxes of voting, system designers have sometimes offered hybrid systems. The paper reviews Condorcet–Borda hybrids proposed by Daunou, Dodgson, Nanson, and Kemeny; and Borda-Balinski hybrids in use in at least one scientific academy. The justification of the hybrids is practical rather than theoretical, as they cannot escape the known features of their parent systems. In particular, as Condorcet showed in 1788, all Borda systems violate independence of irrelevant alternatives (in some formulation).