Unifying impossibility theorems: A topological approach
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Publication:1325749
DOI10.1006/aama.1993.1020zbMath0803.90003OpenAlexW2044440398MaRDI QIDQ1325749
Publication date: 26 May 1994
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aama.1993.1020
Related Items (16)
Binary choice, subset choice, random utility, and ranking: a unified perspective using the permutahedron ⋮ The topological approach to the aggregation of preferences ⋮ Bounded response of aggregated preferences ⋮ On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem when individual preferences are weak orders ⋮ On the topological equivalence of the Arrow impossibility theorem and Amartya Sen's liberal paradox ⋮ Equivalence of the HEX game theorem and the Arrow impossibility theorem ⋮ A topological approach to Wilson's impossibility theorem ⋮ A topological proof of the Gibbard-Satterthwaite theorem ⋮ Around Arrow ⋮ On isotopic dictators and homological manipulators ⋮ A topological approach to the Arrow impossibility theorem when individual preferences are weak orders ⋮ On the equivalence of the Arrow impossibility theorem and the Brouwer fixed point theorem ⋮ A topological proof of Eliaz's unified theorem of social choice theory ⋮ THE HEX GAME THEOREM AND THE ARROW IMPOSSIBILITY THEOREM: THE CASE OF WEAK ORDERS ⋮ Topological social choice ⋮ A Fourier-theoretic perspective on the Condorcet paradox and Arrow's theorem.
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