Harsanyi's theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences

Stéphane Zuber

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Abstract: This paper studies the extension of Harsanyi's theorem (Harsanyi, 1995) in a framework involving uncertainty. It seeks to extend the aggregation result to a wide class of Monotonic Bernoullian and Archimedean preferences (Cerreia-Vioglio et al., 2011) that subsumes many models of choice under uncertainty proposed in the literature. An impossibility result is obtained, unless we are in the specific framework where all individuals and the decision-maker are subjective expected utility maximizers sharing the same beliefs. This implies that non-expected utility preferences cannot be aggregated consistently.

Keywords: Harsanyi's theorem; Pareto principle; Monotonic Bernoullian and Archimedean preferences; Subjective expected utility (search for similar items in EconPapers)
Date: 2015-09
New Economics Papers: this item is included in nep-gth, nep-mic and nep-upt
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01224145v1
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Citations: View citations in EconPapers (5)

Published in 2015

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Related works:
Journal Article: Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences (2016)
Working Paper: Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences (2016)
Working Paper: Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences (2016)
Working Paper: Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences (2016)
Working Paper: Harsanyi's theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences (2015)
Working Paper: Harsanyi's theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences (2015)
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