Advanced Search
MyIDEAS: Login to save this paper or follow this series

Lexicographic Compositions of Multiple Criteria for Decision Making

Contents:

Author Info

  • Houy, Nicolas
  • Tadenuma, Koichi

Abstract

This paper considers two distinct procedures to lexicographically compose multiple criteria for social or individual decision making. The first procedure composes M binary relations into one, and then selects its maximal elements. The second procedure first selects the set of maximal elements of the first binary relation, and then within that set, chooses the maximal elements of the second binary relation, and iterates the procedure until the M th binary relation. We show several distinct sets of conditions for the choice functions representing these two procedures to satisfy non-emptiness and choice-consistency conditions such as contraction consistency (Chernoff, 1954) and path independence (Arrow, 1963). We also examine the relationships between the outcomes of the two procedures. Then, we investigate under what conditions the outcomes of each procedure are independent of the order of lexicographic application of the criteria. Examples for applications of the results in the economic environments are also presented.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/16907/1/070econDP07-13.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Graduate School of Economics, Hitotsubashi University in its series Discussion Papers with number 2007-13.

as in new window
Length: 23 p.
Date of creation: Nov 2007
Date of revision:
Handle: RePEc:hit:econdp:2007-13

Contact details of provider:
Phone: +81-42-580-8000
Web page: http://www.econ.hit-u.ac.jp/
More information through EDIRC

Related research

Keywords: multiple criteria for choice; lexicographic application; choice consistency; path independence; order independence;

Other versions of this item:

Find related papers by JEL classification:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Arrow, Kenneth J, 1977. "Extended Sympathy and the Possibility of Social Choice," American Economic Review, American Economic Association, American Economic Association, vol. 67(1), pages 219-25, February.
  2. Tadenuma, Koichi, 2002. "Egalitarian-Equivalence and the Pareto Principle for Social Preferences," Discussion Papers, Graduate School of Economics, Hitotsubashi University 2002-08, Graduate School of Economics, Hitotsubashi University.
  3. Houy Nicolas, 2007. "Rationality and Order-Dependent Sequential Rationality," Theory and Decision, Springer, Springer, vol. 62(2), pages 119-134, March.
  4. Elisha A. Pazner & David Schmeidler, 1975. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 174, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Feldman, Allan M & Kirman, Alan, 1974. "Fairness and Envy," American Economic Review, American Economic Association, American Economic Association, vol. 64(6), pages 995-1005, December.
  6. Blair, Douglas H. & Bordes, Georges & Kelly, Jerry S. & Suzumura, Kotaro, 1976. "Impossibility theorems without collective rationality," Journal of Economic Theory, Elsevier, Elsevier, vol. 13(3), pages 361-379, December.
  7. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 63, pages 309.
  8. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, Econometric Society, vol. 41(6), pages 1075-91, November.
  9. Suzumura, Kotaro, 1981. "On pareto-efficiency and the no-envy concept of equity," Journal of Economic Theory, Elsevier, Elsevier, vol. 25(3), pages 367-379, December.
  10. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, Econometric Society, vol. 44(4), pages 793-804, July.
  11. Tadenuma, Koichi, 1998. "Efficiency First or Equity First?: Two Principles and Rationality of Social Choice," Discussion Papers, Graduate School of Economics, Hitotsubashi University 1998-01, Graduate School of Economics, Hitotsubashi University.
  12. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, American Economic Association, vol. 97(5), pages 1824-1839, December.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Mandler, Michael & Manzini, Paola & Mariotti, Marco, 2012. "A million answers to twenty questions: Choosing by checklist," Journal of Economic Theory, Elsevier, Elsevier, vol. 147(1), pages 71-92.
  2. Rohan Dutta & Sean Horan, 2013. "Inferring Rationales from Choice : Identification for Rational Shortlist Methods," Cahiers de recherche, Centre interuniversitaire de recherche en économie quantitative, CIREQ 09-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  3. C. Binder, 2014. "Plural identities and preference formation," Social Choice and Welfare, Springer, Springer, vol. 42(4), pages 959-976, April.
  4. Sandroni, Alvaro & Cherepavov, Vadim & Feddersen, Timothy, 2013. "Rationalization," Theoretical Economics, Econometric Society, Econometric Society, vol. 8(3), September.
  5. Matsuki, Jun & Tadenuma, Koichi, 2013. "Choice via Grouping Procedures," Discussion Papers, Graduate School of Economics, Hitotsubashi University 2013-08, Graduate School of Economics, Hitotsubashi University.
  6. Ludovic Renou & Karl H. Schlag, 2009. "From Ordients to Optimization: Substitution Effects without Differentiability," Discussion Papers in Economics, Department of Economics, University of Leicester 09/6, Department of Economics, University of Leicester.
  7. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, American Economic Association, vol. 102(5), pages 2183-2205, August.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:hit:econdp:2007-13. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Digital Resources Section, Hitotsubashi University Library).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.