Abstract.
I show that the condition of Independence of Irrelevant Alternatives in Arrow's impossibility theorem can be weakened into Relational Independent Decisiveness. The condition of Relational Independent Decisiveness is essentially a translation of Sen's Independent Decisiveness into the traditional Arrovian framework. I also show by example that Relational Independent Decisiveness is indeed weaker than Arrow's Independence of Irrelevant Alternatives.
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Received: 30 October 1996 / Accepted: 22 May 1997
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Denicolò, V. Independent Decisiveness and the Arrow theorem. Soc Choice Welfare 15, 563–566 (1998). https://doi.org/10.1007/s003550050124
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DOI: https://doi.org/10.1007/s003550050124