Affiliation:
1. University of Belgrade, Faculty of Economics and Business
Abstract
This note presents a short comment and explanation of the approach and
results presented in my previous papers published in this journal. I have
divided the traditional social choice axioms, introduced by Kenneth Arrow
and Amartya Sen, into two classes, based on their linguistic and
mathematical complexity. The first class consists of ?the unrestricted
domain? and ?the independence of irrelevant alternatives?, (Arrow, 1963;
(Sen, 1970b;Maskin, 2020), which need a higher-order language, and can be
treated as meta-axioms. The second class contains a group of linguistically
simpler axioms, such as ?dictatorship?, ?liberalism? and ?the Pareto rule?.
Naturally, it is possible to make an easier logical analysis of the
deductive properties and relationships between the axioms belonging to the
second class, and the paper explains a method for their simplification. The
basic conclusion is that after these simplifications, we obtain a fragment
of the traditional Arrow-Sen theory in which we can also prove well-known
impossibilities, including the counterparts of Arrow?s and Sen?s theorems. I
consider that the value of each simplified approach lies in providing an
opportunity to a wider circle of readers to better understand the basic
ideas, results and spirit of traditional Social Choice Theory.
Publisher
National Library of Serbia
Subject
General Economics, Econometrics and Finance
Reference12 articles.
1. Arrow, K. J. (1963). Social Choice and Individual Values, John Wiley, New York.
2. Boričić, B. (2009). Dictatorship, liberalism and the Pareto rule: possible and impossible, Economic Annals, LIV 181, 45-54.
3. Boričić, B. (2014a). Multiple vonWrights preference logic and social choice theory, The Bulletin of Symbolic Logic, 20, 224-225.
4. Boričić, B. (2014b). Impossibility theorems in multiple von Wright’s preference logic, Economic Annals, LIX 201, 69-84.
5. Boričić, B., & Srećković, M. (2023). Vetoing - social, logical and mathematical aspects, (to appear)
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