Geodesic
Voting rules that are unbiased but not transitive-symmetric
Aadyot Bhatnagar1
1California Institute of Technology
The electronic journal of combinatorics, Tome 27 (2020) no. 1
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We explore the relation between two natural symmetry properties of voting rules. The first is transitive-symmetry – the property of invariance to a transitive permutation group – while the second is the "unbiased" property of every voter having the same influence for all i.i.d. probability measures. We show that these properties are distinct by two constructions – one probabilistic, one explicit – of rules that are unbiased but not transitive-symmetric.
DOI : 10.37236/8795
Classification : 91B12, 05C90
Mots-clés : voting rules, graphic voting rules, winning coalition

Aadyot Bhatnagar  1

1 California Institute of Technology 
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Aadyot Bhatnagar. Voting rules that are unbiased but not transitive-symmetric. The electronic journal of combinatorics, Tome 27 (2020) no. 1. doi: 10.37236/8795

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