A Fuzzy Application of Techniques from Topological Supersymmetric Quantum Mechanics to Social Choice Theory: A New Insight on Flaws of Democracy

Journal of Social Sciences and Humanities (forthcoming)
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Abstract

We introduce a new theorem in social choice theory built on a path integral approach which will show that, under some reasonable conditions, there is a unique way to aggregate individual preferences based on fuzzy sets into a social preference based on probabilities, and that this way is invariant under any permutation of alternatives. We then apply this theorem to the case of democratic decision making with data of the behaviour and voting preferences of voting agents and show that there is a tradeoff between fairness and efficiency and that no voting system can achieve both simultaneously.

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Wilfrid Wulf
University of Oxford

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