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Isotone Classes of Social Choice Functions with Binary Range

Achille Basile (), K. P. S. Bhaskara Rao, Anna De Simone and Ciro Tarantino
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Achille Basile: Dipartimento di Scienze Economiche e Statistiche, Università Federico II di Napoli, 80126 Napoli, Italy
K. P. S. Bhaskara Rao: Computer Information Systems Department, Indiana University Northwest, Gary, IN 46408, USA
Anna De Simone: Dipartimento di Matematica e Applicazioni R. Caccioppoli, Università Federico II di Napoli, 80126 Napoli, Italy
Ciro Tarantino: Dipartimento di Scienze Economiche e Statistiche, Università Federico II di Napoli, 80126 Napoli, Italy

Games, 2024, vol. 15, issue 6, 1-18

Abstract: Recently, it has been shown that the characterizations of different classes of non-manipulable social choice functions with binary range can be reduced to a common functional form. In the present paper, we investigate the reasons why this happens. We show that all the classes considered share a common mathematical property. We name this property, which is lattice theoretical in nature, isotonicity.

Keywords: social choice functions; non-manipulability; character; isotonicity (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2024
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