REALISTIC OPINION AGGREGATION: LEHRER-WAGNER WITH A FINITE SET OF OPINION VALUES.

An allocation problem is a type of aggregation problem in which the values of individuals' opinions on some set of variables (canonically a set of mutually exclusive and exhaustive possibilities) sum to a constant. This paper shows that for realistic allocation problems, namely ones in which the set...

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Publicado en:Episteme (Cambridge University Press) Vol. 9; no. 2; pp. 91 - 100
Autores principales: BRADLEY, R., WAGNER, C.
Formato: Artículo
Publicado: Cambridge University Press 2012
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: REALISTIC OPINION AGGREGATION: LEHRER-WAGNER WITH A FINITE SET OF OPINION VALUES.
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          BRADLEY, R.
          WAGNER, C.
        affil:
          Professor of Philosophy, London School of Economics and Political Science
          Professor of Mathematics, University of Tennessee
          Adjunct Professor of Philosophy, University of Tennessee
      su:
        Assignment problems (Programming)
        Mathematical variables
        Aggregation operators
        Mathematics problems & exercises
        Mathematical analysis
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          Assignment problems (Programming)
          Mathematical variables
          Aggregation operators
          Mathematics problems & exercises
          Mathematical analysis
      ab: An allocation problem is a type of aggregation problem in which the values of individuals' opinions on some set of variables (canonically a set of mutually exclusive and exhaustive possibilities) sum to a constant. This paper shows that for realistic allocation problems, namely ones in which the set of possible opinion values is finite, the only universal aggregation methods that satisfy two commonly invoked conditions are the dictatorial ones. The two conditions are, first, that the aggregate opinion on any variable depends only on the individuals' opinions on that variable and not on their opinions on any other variable and, secondly, that the aggregate opinion minimally preserves unanimous individual opinion. Connections between this result and similar ones in the literature on judgment aggregation are explored and their significance assessed.
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    language: English
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