Eliciting Preferences on Multiattribute Societies with a Choquet Integral

Computational Economics

Volumn 37, Issue 2, 2011, Pages 133-168

  Meyer, Patrick ^a,b   Ponthière, Grégory ^c  

^a LAB STICC   (France)

^b UNIVERSITÉ EUROPÉENNE DE BRETAGNE   (France)

^c ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Choquet integral; Indicators; Measurement; Multiattribute value theory; Standards of living

Indexed keywords

EID: 78651453232     PISSN: 09277099     EISSN: 15729974     Source Type: Journal    
DOI: 10.1007/s10614-009-9196-0     Document Type: Article

References (41)

1. Bana e Costa C. A., Vansnick J. C. (1999) Preference relations in MCDM. In: Gal T., Hanne T., Steward T. (eds) MultiCriteria decision making: Advances in MCDM models, algorithms, theory and applications. Kluwer, Dordretcht.
2. Becker G. S., Philipson T. J., Soares R. R. (2005) The quantity and quality of life and the evolution of world inequality. American Economic Review 95(1): 277-291.
3. Bouyssou D., Pirlot M. (2004) Preferences for multi-attributed alternatives: Traces, dominance, and numerical representations. Journal of Mathematical Psychology 48: 167-185.
4. Browning M., Hansen L. P., Heckman J. J. (1999) Micro data and general equilibrium models. In: Gal T., Steward T., Hanne T. (eds) Handbook of macroeconomics, Vol. 1A. Elsevier Science, New York.
5. Chateauneuf A., Jaffray J. -Y. (1989) Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion. Mathematical Social Sciences 17(3): 263-283.
6. Choquet G. (1953) Theory of capacities. Annales de l'Institut Fourier 5: 131-295.
7. Dasgupta P. (1993) An inquiry into well-being and destitution. Oxford University Press, Oxford.
8. European Health Expectancy Monitoring Unit (EHEMU). (2007). Estimations of health expectancy at age 65 in European Union countries in 2004, Table 4.
9. Finkelstein L. (1982) Theory and philosophy of measurement. In: Sydenham P. H. (eds) Handbook of measurement science, Vol. 1. Wiley, London.
10. Grabisch M. (1997) k-Order additive discrete fuzzy measure and their representation. Fuzzy Sets and Systems 92: 131-295.
11. Grabisch M., Kojadinovic I., Meyer P. (2008) A review of capacity identification methods for Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package. European Journal of Operational Research 186(2): 766-785.
12. Jacquet-Lagrèze E., Siskos Y. (1982) Assessing a set of additive utility functions for multicriteria decision making: The UTA method. European Journal of Operational Research 10: 151-164.
13. Keeney R. L., Raiffa H. (1976) Decision with multiple objectives. Wiley, New York.
14. Kojadinovic I. (2007) Minimum variance capacity identification. European Journal of Operational Research 177(1): 498-514.
15. Kojadinovic I., Marichal J.-L., Roubens M. (2005) An axiomatic approach to the definition of the entropy of a discrete Choquet capacity. Information Sciences 172: 131-153.
16. Krantz D. H., Luce R. D., Suppes P., Tversky A. (1971) Foundations of measurement, Vol. 1: Additive and polynomial representations. Academic Press, New York.
17. Labreuche C., Grabisch M. (2003) The Choquet integral for the aggregation of interval scales in multicriteria decision making. Fuzzy Sets and Systems 137: 11-16.
18. Marichal J.-L. (2000a) An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria. IEEE Transactions on Fuzzy Systems 8(6): 800-807.
19. Marichal J.-L. (2000b) Behavioral analysis of aggregation in multicriteria decision aid. In: Fodor J., De Baets B., Perny P. (eds) Preferences and decisions under incomplete knowledge. Physica-Verlag, Heidelberg, pp 153-178.
20. Marichal J.-L. (2004) Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. European Journal of Operational Research 155(3): 771-791.
21. Miller G. A. (1956) The magical number seven, plus or minus two: Some limits on our capacity for processing information. The Psychological Review 63: 81-97.
22. Murofushi, T., & Soneda, S. (1993). Techniques for reading fuzzy measures (iii): Interaction index. In 9th Fuzzy System Symposium, pp. 693-696, Saporo, Japan.
23. Nordhaus W. D. (2003) The health of nations: The contribution of improved health to living standards. In: Murphy K. M., Topel R. H. (eds) Measuring the gains from medical research. University of Chicago Press, Chicago.
24. North D. C. (1994) Economic performance through time. American Economic Review 84: 359-368.
25. OECD Labour Statistics. (2007). Average usual weekly hours worked on the main job. http://stats. oecd. org/wbos/default. aspx?DatasetCode=AVE_HRS.
26. OECD National Accounts Statistics. (2007). Actual individual consumption per head, euros. http://stats. oecd. org/wbos/default. aspx?datasetcode=SNA.
27. Osberg L., Sharpe A. (2002) An index of economic well-being for selected oecd countries. Review of Income and Wealth 48(3): 291-316.
28. Osberg L., Sharpe A. (2005) How should we measure the economic aspects of well-being?. Review of Income and Wealth 51(2): 311-336.
29. Shapley L. S. (1953) A value for n-person games. In: H. W. Kuhn, A. W. Tucker (eds) Contributions to the theory of games, Vol. 2. Annals of Mathematics Studies, No. 28. Princeton University Press, Princeton, NJ, pp 307-317.
30. Siskos Y., Grigoroudis E., Matsatsinis N. F. (2005) Uta methods. In: Figueira J., Greco S., Ehrgott M. (eds) Multiple criteria decision analysis: State of the art surveys. Springer Verlag, Boston, pp 297-344.
31. Siskos Y., Yannacopoulos D. (1985) UTASTAR: An ordinal regression method for building additive value functions. Investigacao Operacional 5(1): 39-53.
32. Smith, A. (1776). An inquiry into the nature and causes of the wealth of nations. Printed for W. Strahan and T. Cadell, London.
33. Sugeno, M. (1974). Theory of fuzzy integrals and its applications. PhD thesis, Tokyo Institute of Technology, Tokyo, Japan.
34. Tversky A., Kahneman D. (1981) The framing of decisions and the psychology of choice. Science 211: 453-458.
35. United Nations Development Program (UNDP). (1990). Human development report. Oxford University Press, New York.
36. United Nations. (2007). United Nations millennium development goals indicators, goal 7 (sustainable development). http://mdgs. un. org/unsd/mdg/Data. aspx.
37. United Nations Development Program (UNDP). (2008). Human development report 2007/2008. Oxford University Press, New York.
38. Usher D. (1973) An imputation to the measure of economic growth for changes in life expectancy. In: M. Moss (eds) The measurement of economic and social performance, Vol. 38 of NBER Studies in Income and Wealth. Columbia University Press, Chicago, pp 193-226.
39. Usher D. (1980) The measurement of economic growth. Columbia University Press, New York.
40. Vincke P. (1992) Multicriteria decision-aid. Wiley, Chichester.
41. Wakker P. P. (1989) Additive representations of preferences: A new foundation of decision analysis. Kluwer Academic Publishers, Dordrecht.