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Incommensurability and consistency

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Abstract

Public-policy choices frequently have to be carried out in the presence of incommensurabilities. These incommensurabilities may manifest themselves in the form of incompleteness—that is, some of the options under consideration are not comparable by a decision maker. As a consequence, it may be impossible to select policies that are at least as good as all competing proposals. When faced with incommensurabilities of this nature, transitivity can be considered too demanding a requirement. An attractive weakening of transitivity consists of a property that Kotaro Suzumura (Economica, 43:381–390, 1976) introduced under the label of consistency. Suzumura consistency postulates that goodness cycles with at least one instance of betterness are to be avoided thus strengthening the well-known acyclicity condition that precludes the existence of betterness cycles. The property is compared to alternative weakenings of transitivity, and it is shown that it has numerous advantages over other contenders. For instance, Suzumura consistency is precisely what is needed to avoid a money pump. The issue of rational choice in the context of public decision-making is discussed in order to provide an illustration of the usefulness of Suzumura consistency.

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References

  • Arrow, K. J. (1951). Social Choice and Individual Values. New York, NY: Wiley.

    Google Scholar 

  • Bossert, W. (2008). Suzumura consistency. In P. K. Pattanaik, K. Tadenuma, Y. Xu, & N. Yoshihara (Eds.), Rational Choice and Social Welfare: Theory and Applications (pp. 159–179). Berlin: Springer.

    Chapter  Google Scholar 

  • Bossert, W. (2018). Suzumura-consistent relations: An overview, international. Journal of Economic Theory, 14, 21–34.

    Article  Google Scholar 

  • Bossert, W., Sprumont, Y., & Suzumura, K. (2005). Consistent rationalizability. Economica, 72, 185–200.

    Article  Google Scholar 

  • Bossert, W., & Suzumura, K. (2010). Consistency, Choice, and Rationality. Cambridge, MA: Harvard University Press.

    Book  Google Scholar 

  • Bossert, W., & Suzumura, K. (2015). Expected utility without full transitivity. Social Choice and Welfare, 45, 707–722.

    Article  Google Scholar 

  • Chang, R. (1998). Introduction. In R. Chang (Ed.), Incommensurability, Incomparability, and Practical Reason (pp. 1–34). Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Chang, R. (2013). Incommensurability (and incomparability). In H. LaFollette (Ed.), The International Encyclopedia of Ethics (pp. 2591–2604). Hoboken, NJ: Wiley-Blackwell.

    Google Scholar 

  • Gibbard, A. (1973). Manipulation of voting schemes: a general result. Econometrica, 41, 587–601.

    Article  Google Scholar 

  • Hansson, B. (1968). Choice structures and preference relations. Synthese, 18, 443–458.

    Article  Google Scholar 

  • Hurwicz, L. (1972). On informationally decentralized systems. In R. Radner & C. B. McGuire (Eds.), Decision and Organization: A Volume in Honor of Jacob Marschak (pp. 297–336). Amsterdam: North-Holland.

    Google Scholar 

  • Raiffa, H. (1968). Decision Analysis: Introductory Lectures on Choices under Uncertainty. Reading, MA: Addison-Wesley.

    Google Scholar 

  • Richter, M. K. (1966). Revealed preference theory. Econometrica, 41, 1075–1091.

    Google Scholar 

  • Richter, M. K. (1971). Rational choice. In J. S. Chipman, L. Hurwicz, M. K. Richter, & H. F. Sonnenschein (Eds.), Preferences, Utility, and Demand (pp. 29–58). New York, NY: Harcourt Brace Jovanovich.

    Google Scholar 

  • Samuelson, P. A. (1938). A note on the pure theory of consumer’s behaviour. Economica, 5, 61–71.

    Article  Google Scholar 

  • Samuelson, P. A. (1938). A note on the pure theory of consumer’s behaviour: an addendum. Economica, 5, 353–354.

    Article  Google Scholar 

  • Satterthwaite, M. A. (1975). Strategy-proofness and Arrow’s conditions: Existence and correspondence theorems for voting procedures and social welfare functions. Journal of Economic Theory, 10, 187–217.

    Article  Google Scholar 

  • Sen, A. K. (1970). Collective Choice and Social Welfare. San Francisco, CA: Holden-Day.

    Google Scholar 

  • Suzumura, K. (1976). Remarks on the theory of collective choice. Economica, 43, 381–390.

    Article  Google Scholar 

  • Szpilrajn, E. (1930). Sur l’extension de l’ordre partiel. Fundamenta Mathematicae, 16, 386–389.

    Article  Google Scholar 

  • Thomson, W. (1990). The consistency principle. In T. Ichiishi, A. Neyman, & Y. Tauman (Eds.), Game Theory and Applications (pp. 187–215). New York, NY: Academic Press.

    Chapter  Google Scholar 

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Correspondence to Walter Bossert.

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Bossert, W. Incommensurability and consistency. Philos Stud (2023). https://doi.org/10.1007/s11098-023-02058-7

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