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  • Michael Morreau (a1)


Juries, committees and experts panels commonly appraise things of one kind or another on the basis of grades awarded by several people. When everybody's grading thresholds are known to be the same, the results sometimes can be counted on to reflect the graders’ opinion. Otherwise, they often cannot. Under certain conditions, Arrow's ‘impossibility’ theorem entails that judgements reached by aggregating grades do not reliably track any collective sense of better and worse at all. These claims are made by adapting the Arrow–Sen framework for social choice to study grading in groups.



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Andreou, C. 2015. Parity, comparability, and choice. Journal of Philosophy 112: 522.
Arrow, K.J. 1951. Social Choice and Individual Values. New York, NY: Wiley. [2nd edn, 1963].
Balinski, M. and Laraki, R.. 2010. Majority Judgement: Measuring, Ranking and Electing. Cambridge, MA: MIT Press.
Balshem, H., Helfand, M., Schünemann, H., Oxman, A., Kunz, R., Brozek, J., Vist, G., Falck-Ytter, Y., Meerpohl, J., Norris, S. and Guyatt, G.. 2011. GRADE Guidelines: 3. Rating the Quality of Evidence. Journal of Clinical Epidemiology 64: 401406.
Chang, R. 2002. The possibility of parity. Ethics 112: 659688.
King, G., Murray, C., Salomon, J. and Tandon, A.. 2004. Enhancing the validity and cross-cultural comparability of measurement in survey research. American Political Science Review 98: 191207.
List, C. 2013. Social choice theory. In The Stanford Encyclopedia of Philosophy (Winter 2013 Edition), ed. Zalta, E.N.. <>.
Locke, J. 1961 [1690].An Essay Concerning Human Understanding, Volumes 1 and 2. London: Dent and Sons.
Maniquet, F. and Mongin, P.. 2015. Approval voting and Arrow's impossibility theorem. Social Choice and Welfare 44: 519532
Morgan, M.G. 2014. Use (and abuse) of expert elicitation in support of decision making for public policy. Proceedings of the National Academy of Sciences USA 111: 71767184.
Morreau, M. 2014. Arrow's theorem. In The Stanford Encyclopedia of Philosophy (Winter 2014 Edition), ed. Zalta, E.N.. <>.
Sen, A. 1970. Collective Choice and Social Welfare. San Francisco, CA: Holden-Day.



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