THE EXISTENCE OF A MAJORITY RULE MAXIMAL SET IN ARBITRARYn-DIMENSIONAL SPATIAL MODELS

John N. Mordeson () and Terry D. Clark ()
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John N. Mordeson: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Terry D. Clark: Department of Political Science, Creighton University, Omaha, Nebraska 68178, USA

New Mathematics and Natural Computation (NMNC), 2010, vol. 06, issue 03, 261-274

Abstract: We examine the effect of indifference on the existence of a majority rule maximal set. In our setting, it is shown in all but a limited number of cases that the maximal set is empty in ann-dimensional spatial model if and only if the Pareto set contains a union of cycles. The elements that constitute the exception are completely characterized.

Keywords: Spatial model; maximal set; cycle; fuzzy subset; Pareto set; lattice; partial order (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S1793005710001761

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