An inverse problem in the economic theory of demand

Ivar Ekeland; Ngalla Djitté

Annales de l'I.H.P. Analyse non linéaire (2006)

  • Volume: 23, Issue: 2, page 269-281
  • ISSN: 0294-1449

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Ekeland, Ivar, and Djitté, Ngalla. "An inverse problem in the economic theory of demand." Annales de l'I.H.P. Analyse non linéaire 23.2 (2006): 269-281. <http://eudml.org/doc/78692>.

@article{Ekeland2006,
author = {Ekeland, Ivar, Djitté, Ngalla},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {utility function; aggregate demand function; inverse problems; exterior differential systems; integral manifolds},
language = {eng},
number = {2},
pages = {269-281},
publisher = {Elsevier},
title = {An inverse problem in the economic theory of demand},
url = {http://eudml.org/doc/78692},
volume = {23},
year = {2006},
}

TY - JOUR
AU - Ekeland, Ivar
AU - Djitté, Ngalla
TI - An inverse problem in the economic theory of demand
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2006
PB - Elsevier
VL - 23
IS - 2
SP - 269
EP - 281
LA - eng
KW - utility function; aggregate demand function; inverse problems; exterior differential systems; integral manifolds
UR - http://eudml.org/doc/78692
ER -

References

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  2. [2] Browning W., Chiappori P.A., Efficient intra-household allocation: a general characterization and empirical tests, Econometrica66 (6) (1998) 1241-1278. Zbl1012.91029
  3. [3] Bryant R.L., Chern S.S., Gardner R.B., Goldschmidt H.L., Griffiths P.A., Exterior Differential Systems, Springer-Verlag, New York, 1991. Zbl0726.58002MR1083148
  4. [4] Chiappori P.A., Ekeland I., Aggregation and market demand: an exterior differential calculus viewpoint, Econometrica67 (1999) 1435-1458. Zbl1055.91533MR1720769
  5. [5] P.A. Chiappori, I. Ekeland, Individual excess demands, J. Math. Economics, in press. Zbl1059.91056
  6. [6] Diewert W.E., Generalized Slutsky conditions for aggregate consumer demand functions, J. Economic Theory15 (1977) 353-362. Zbl0396.90008MR449524
  7. [7] Ekeland I., Some applications of the Cartan–Kähler theorem to economic theory, in: Erich Kähler, Mathematische Werke, de Gruyter, Berlin, 2003, pp. 767-777. 
  8. [8] Ekeland I., Nirenberg L., A convex Darboux theorem, Methods Appl. Math.9 (2002) 329-344. Zbl1082.58501MR2023129
  9. [9] Geanakoplos J., Polemarchakis H., On the disaggregation of excess demand functions, Econometrica (1980) 315-333. Zbl0436.90015MR560513
  10. [10] Inchakov, Personal communication, 2000. 
  11. [11] P.L. Lions, Personal communication, Université Paris-Dauphine, 1998. 
  12. [12] Mas-Colell A., Whinston M., Green J., Microeconomic Theory, Oxford University Press, 1995. 
  13. [13] Shafer W., Sonnenschein H., Market demand and excess demand functions, in: Arrow K., Intriligator M. (Eds.), Handbook of Mathematical Economics, vol. 2, North-Holland, 1982, (Chapter 14). Zbl0522.90003
  14. [14] Slutsky E., Sulla teoria del bilancio del consumatore, Giornale degli Economisti e Rivista di Statistica3 (15) (1915) 1-26, English translation, in: Stigler G., Boulding K. (Eds.), Readings in Price Theory, Richard D. Irwin, 1952. 

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