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arXiv · 1405.5827

Voting with Coarse Beliefs

Samantha Leung·Edward Lui·Rafael Pass
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Abstract

The classic Gibbard-Satterthwaite theorem says that every strategy-proof voting rule with at least three possible candidates must be dictatorial. Similar impossibility results hold even if we consider a weaker notion of strategy-proofness where voters believe that the other voters' preferences are i.i.d.~(independent and identically distributed). In this paper, we take a bounded-rationality approach to this problem and consider a setting where voters have "coarse" beliefs (a notion that has gained popularity in the behavioral economics literature). In particular, we construct good voting rules that satisfy a notion of strategy-proofness with respect to coarse i.i.d.~beliefs, thus circumventing the above impossibility results.

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Samantha Leung, Edward Lui, Rafael Pass. 2014-05-22. Voting with Coarse Beliefs. https://arxiv.org/abs/1405.5827

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