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Strategy-Proof Aggregation Rules in Median Join-Semilattices and Arrowian Social Welfare Functions

Ernesto Savaglio () and Stefano Vannucci ()

Department of Economics University of Siena from Department of Economics, University of Siena

Abstract: Three characterizations of the whole class of strategyproof aggregation rules on rich domains of locally unimodal total preorders in Önite median join-semilattices are provided. In particular, it is shown that such class consists precisely of generalized weak consensus-sponsorship rules induced by certain families of order Ölters of the coalition poset. It follows that the co-majority rule and many other inclusive aggregation rules belong to that class. The co-majority rule for an odd number of agents is also characterized. The existence of strategy-proof anonymous neutral and unanimity-respecting social welfare functions which satisfy a suitably relaxed independence condition is shown to follow from our characterizations.

JEL-codes: D71 (search for similar items in EconPapers)
Date: 2020-07
New Economics Papers: this item is included in nep-des and nep-mic
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