On integer-valued means and the symmetric maximum

Miguel Couceiro () and Michel Grabisch
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Miguel Couceiro: LORIA - Inria Nancy Grand Est - Université de Lorraine

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: Integer-valued means, satisfying the decomposability condition of Kolmogoroff/Nagumo, are necessarily extremal, i.e., the mean value depends only on the minimal and maximal inputs. To overcome this severe limitation, we propose an infinite family of (weak) integer means based on the symmetric maximum and computation rules. For such means, their value depends not only on extremal inputs, but also on 2nd, 3rd, etc…, extremal values as needed. In particular, we show that this family can be characterized by a weak version of decomposability

Keywords: integer means; nonassociative algebra; symmetric maximum; decomposability (search for similar items in EconPapers)
Pages: 18 pages
Date: 2016-09
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ftp://mse.univ-paris1.fr/pub/mse/CES2016/16080.pdf (application/pdf)

Related works:
Working Paper: On integer-valued means and the symmetric maximum (2016)
Working Paper: On integer-valued means and the symmetric maximum (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:16080

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