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Weakening the Strong Convexity of Preferences

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  • Muller, Christophe

    (University of Nottingham)

Abstract

In general models, the strong quasi-concavity of the objective function, which is sufficient for theoretical properties of demands in consumer theory, is often arbitrary and weaker global concavity conditions are desirable. We propose a new global concavity condition that implies, for models with several nonlinear constraints, the local uniqueness and the smoothness of the decision functions as well as the negativity of the generalised substitution matrix. This condition can be used to specify general and flexible economic models and is easier to check than the strong quasi-concavity or the usual second order conditions over the whole domain.

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  • Muller, Christophe, 2002. "Weakening the Strong Convexity of Preferences," Royal Economic Society Annual Conference 2002 145, Royal Economic Society.
  • Handle: RePEc:ecj:ac2002:145
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    1. Hertel, Thomas W., 1994. "The 'procompetitive' effects of trade policy reform in a small, open economy," Journal of International Economics, Elsevier, pages 391-411.
    2. Schweinberger, Albert G, 1996. "Procompetitive Gains from Trade and Comparative Advantage," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(2), pages 361-375, May.
    3. Motta, Massimo & Thisse, Jacques-Francois & Cabrales, Antonio, 1997. "On the Persistence of Leadership or Leapfrogging in International Trade," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 809-824, November.
    4. Crampes, Claude & Hollander, Abraham, 1995. "Duopoly and quality standards," European Economic Review, Elsevier, vol. 39(1), pages 71-82, January.
    5. Fershtman, C. & Gandal, N. & Markovich, S., 1997. "Estimating the Effect of Tax Reform in Differentiated Product Oligopolistic Markets," Papers 29-97, Tel Aviv.
    6. Das, Satya P. & Donnenfeld, Shabtai, 1989. "Oligopolistic competition and international trade : Quantity and quality restrictions," Journal of International Economics, Elsevier, pages 299-318.
    7. Krishna, Kala, 1990. "Protection and the Product Line: Monopoly and Product Quality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 87-102, February.
    8. Herguera, Inigo & Kujal, Praveen & Petrakis, Emmanuel, 2002. "Tariffs, quality reversals and exit in vertically differentiated industries," Journal of International Economics, Elsevier, pages 467-492.
    9. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
    10. John C. Ries, 1993. "Voluntary Export Restraints, Profits, and Quality Adjustment," Canadian Journal of Economics, Canadian Economics Association, vol. 26(3), pages 688-706, August.
    11. Brander, James A., 1995. "Strategic trade policy," Handbook of International Economics,in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 27, pages 1395-1455 Elsevier.
    12. Sheshinski, Eytan, 1976. "Price, Quality and Quantity Regulation in Monopoly Situations," Economica, London School of Economics and Political Science, vol. 43(17), pages 127-137, May.
    13. Krishna, Kala, 1987. "Tariffs versus quotas with endogenous quality," Journal of International Economics, Elsevier, pages 97-112.
    14. James A. Brander & Barbara J. Spencer, 1981. "Tariffs and the Extraction of Foreign Monopoly Rents under Potential Entry," Canadian Journal of Economics, Canadian Economics Association, vol. 14(3), pages 371-389, August.
    15. Donnenfeld, Shabtai & Weber, Shlomo, 1992. "Vertical product differentiation with entry," International Journal of Industrial Organization, Elsevier, vol. 10(3), pages 449-472, September.
    16. Collie, David, 1991. "Export subsidies and countervailing tariffs," Journal of International Economics, Elsevier, pages 309-324.
    17. Zhou, Dongsheng & Spencer, Barbara J. & Vertinsky, Ilan, 2002. "Strategic trade policy with endogenous choice of quality and asymmetric costs," Journal of International Economics, Elsevier, pages 205-232.
    18. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    19. Cremer, Helmuth & Thisse, Jacques-Francois, 1994. "Commodity Taxation in a Differentiated Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 613-633, August.
    20. Leahy, Dermot & Neary, J Peter, 1994. "Learning by Doing, Precommitment and Infant-Industry Protection," CEPR Discussion Papers 980, C.E.P.R. Discussion Papers.
    21. Ulrich Lehmann-Grube, 1997. "Strategic Choice of Quality When Quality is Costly: The Persistence of the High-Quality Advantage," RAND Journal of Economics, The RAND Corporation, pages 372-384.
    22. Fontagné, Lionel & Freudenberg, Michael & Péridy, Nicolas, 1998. "Intra-Industry Trade and the Single Market: Quality Matters," CEPR Discussion Papers 1959, C.E.P.R. Discussion Papers.
    23. Robert C. Feenstra, 1988. "Quality Change Under Trade Restraints in Japanese Autos," The Quarterly Journal of Economics, Oxford University Press, vol. 103(1), pages 131-146.
    24. Analysis, A Welfare & Das, Satya P. & Donnenfeld, Shabtai, 1987. "Trade policy and its impact on quality of imports," Journal of International Economics, Elsevier, pages 77-95.
    25. Goldberg, Pinelopi Koujianou, 1995. "Strategic Export Promotion in the Absence of Government Precommitment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 407-426, May.
    26. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," Review of Economic Studies, Oxford University Press, vol. 49(1), pages 3-13.
    27. Herguera, Inigo & Kujal, Praveen & Petrakis, Emmanuel, 2000. "Quantity restrictions and endogenous quality choice," International Journal of Industrial Organization, Elsevier, vol. 18(8), pages 1259-1277, December.
    28. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    29. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-414, May.
    30. Greenaway, David & Hine, Robert C & Milner, Chris, 1995. "Vertical and Horizontal Intra-industry Trade: A Cross Industry Analysis for the United Kingdom," Economic Journal, Royal Economic Society, vol. 105(433), pages 1505-1518, November.
    31. Vousden,Neil, 1990. "The Economics of Trade Protection," Cambridge Books, Cambridge University Press, number 9780521346696, December.
    32. Reitzes, James D, 1992. "Quality Choice, Trade Policy, and Firm Incentives," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(4), pages 817-835, November.
    33. José Luis Moraga Gonzales & Jean-Marie Viaene, 2001. "Trade and Industrial Policy of Transition Economies," CESifo Working Paper Series 446, CESifo Group Munich.
    34. David G. Raboy & Teri Simpson, 1992. "A Methodology for Tariffication of Commodity Trade In the Presence of Quality Differences-The Case of Peanuts," The World Economy, Wiley Blackwell, vol. 15(2), pages 271-281, March.
    35. Zhou, Dongsheng & Spencer, Barbara J. & Vertinsky, Ilan, 2002. "Strategic trade policy with endogenous choice of quality and asymmetric costs," Journal of International Economics, Elsevier, pages 205-232.
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