The Possibility of Rational Social Choice in an Economy
Martin J. Bailey
Abstract
Martin J. Bailey
Abstract
This paper examines the implications of an error or oversight in the statement and proof of Arrow's celebrated General Possibility Theorem. Besides showing that, strictly speaking, the theorem is false, we show that the force of the correctly stated theorem and of most of its descendants applies only to a class of election procedures and not to social choice in an economy. A Bergson welfare function can be constructed that satisfies all the stated Arrow axioms and conditions, although the construction is unnecessary for consistent, effective social choice.
OpenAlex reports 25 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
This paper examines the implications of an error or oversight in the statement and proof of Arrow's celebrated General Possibility Theorem. Besides showing that, strictly speaking, the theorem is false, we show that the force of the correctly stated theorem and of most of its descendants applies only to a class of election procedures and not to social choice in an economy. A Bergson welfare function can be constructed that satisfies all the stated Arrow axioms and conditions, although the construction is unnecessary for consistent, effective social choice.
Key concepts: Arrow, Social choice theory, Social welfare function, Axiom, Arrow's impossibility theorem, Mathematical economics, Statement (logic), Class (philosophy)