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Review of Howard DeLong (1991), "A refutation of Arrow’s theorem", with a reaction, also on its relevance in 2008 for the European Union

Colignatus, Thomas (2008): Review of Howard DeLong (1991), "A refutation of Arrow’s theorem", with a reaction, also on its relevance in 2008 for the European Union. Unpublished.

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Abstract

There will be many researchers who discover voting theory afresh and who will want to understand it and its interesting paradoxes. Arrow's theorem (1951, 1963) is the most celebrated result in social choice theory. It has been criticized a lot but Howard DeLong (1991), "A refutation of Arrow’s theorem", is a monograph that actually succeeds. The booklet has received insufficient attention in the literature. This review also compares DeLong’s approach with my own book "Voting theory for democracy" (2007) and comments on the relevance in 2008 for the European Union, with respect to the veto power of its Member States and their citizens.

Item Type:MPRA Paper
Institution:Thomas Cool Consultancy & Econometrics
Language:English
Keywords:voting theory; voting systems; elections; public choice; political economy; Borda Fixed Point; democracy; European Union; Arrow's theorem;
Subjects:D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice; Clubs; Committees; Associations
A - General Economics and Teaching > A2 - Economics Education and Teaching of Economics
H - Public Economics > H0 - General
ID Code:9661
Deposited By:Thomas Colignatus
Deposited On:22. Jul 2008 11:07
Last Modified:22. Jul 2008 11:07
References:

Thomas Colignatus is the preferred name of Thomas Cool in science.

Arrow, K. (1951, 1963), “Social choice and individual values”, J. Wiley

Arrow, K. and T. Scitovsky (ed) (1969), “Readings in welfare economics”, Allen & Unwin

Black, D. (1948), “On the rationale of group decision making”, J. of political economy 56 pp 23-34 reprinted in Arrow & Scitovsky pp 133-146

Colignatus (1990c), “Why a social welfare (meta) function does exit: The Arrow Impossibility Theorem for Social Choice resolved, A better analysis suggested,” internal note III/90/37 Central Planning Bureau, The Hague, reprinted in Colignatus (1992b) pp57-104

Colignatus (1992a), “On the reasonableness and the moral desirability of the conditions of Arrow’s Theorem”, published in Colignatus (1992b) pp273-285

Colignatus (1992b), “Definition and Reality in the general theory of political economy; Some background papers 1989-1992”, ISBN 905518-207-9, Magnana Mu Publishing and Research, Rotterdam

Colignatus (2005), ““Approval Voting” lacks a sound moral base for the individual voter’s choice of approval versus non-approval, especially when the Status Quo is neglected”, ewp-gt 0503014, http://econpapers.repec.org/paper/wpawuwpgt/0503014.htm

Colignatus (2007a), "A Logic of Exceptions", published by Thomas Cool Consultancy & Econometrics, ISBN 978-90-804774-4-5

Colignatus (2007b), "Voting Theory For Democracy", second edition, published by Thomas Cool Consultancy & Econometrics, ISBN 978-90-804774-5-2, http://www.dataweb.nl/~cool

Dahl, R.A. (1956), “A preface to democratic theory”, Chicago

DeLong, H. (1971), “A profile of mathematical logic”, Addison Wesley (current reprint with Dover)

DeLong, H. (1991), “A refutation of Arrow’s theorem, University Press of America

http://en.wikipedia.org/wiki/Nontransitive_dice

McCloskey, D.N. (2006), “The bourgeois virtues. Ethics for an age of commerce”, Chicago

Sen, A. (1970), "Collective choice and social welfare", North Holland

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