The Logic of Social Practices by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9783030373054
Publisher: Springer International Publishing

2.4 Amartya Sens Logic of Preferences and His Notion of “Social Choice Function”

Formally, Sen’s contribution to the discussion consists in a rigorous clarification of what “preferences/evaluations among alternatives” (e.g., “better than”, “as good as”, “at least good as”, etc.) means in the framework of the logic (algebra) of relations, for solving ambiguities and inconsistencies that often appear in SWF theories interpreted as CCFs. We illustrate Sen’s contribution essentially following his outstanding book Collective Choice and Social Welfare, in its first edition published in 1970 and then in 1979 [6], in which he outlines a mathematical logic of preference/utility in economic and social sciences. As we anticipated in the Introduction, Sen recently published in 2017 an enlarged edition of this fundamental work including the first one, plus some further extension we discuss below [7].

To summarize briefly the core of Sen’s formal approach to social choice theory, we have to recall before all the basic fact that mathematically whichever preference/evaluation binary relation R over a set S consists in specifying a subset R of the Cartesian Product , defined as the set of all ordered pairs (x, y) such that . Following the standard order theory in set-theoretic logic, Sen defines rigorously the following list of relations R over a set S in order to offer a lexicographic theory of social orderings: 1.Reflexivity:

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