Domains for Well Behaved Monotonic Social Choice Functions

Paulo Ramos
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Paulo Ramos: Singapore Management University

No 2-2022, Economics and Statistics Working Papers from Singapore Management University, School of Economics

Abstract: We present here a set of necessary and sufficient conditions for an MDConnected Domain to support a Well Behaved Monotonic Social Choice Function. We require the domain to have a minimal number of preferences in which a pair of alternatives flips their relation, and these reversals must occurr in accordance to a tree graph. While this condition cannot be summarized by a set of restrictions on individual preferences, we provide two alternative characterizations that can, one that is necessary and another that is sufficient.

Pages: 53 pages
Date: 2022-02-01
New Economics Papers: this item is included in nep-des, nep-mic and nep-sea
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