On second-order conditions in vector optimization
Starting from second-order conditions for C 1,1 scalar unconstrained optimization problems described in terms of the second-order Dini directional derivative, we pose the problem, whether similar conditions for C 1,1 vector optimization problems can be derived. We define second-order Dini directional derivatives for vector functions and apply them to formulate such conditions as a Conjecture. The proof of the COnjecture in the case of C1,1 function (called the nonsmooth case) will be given in another paper. The present paper provides the background leading to its correct formulation. Using Lagrange multipliers technique, we prove the COnjecture in the case of twice Fréchet differentiable function (called the smooth case) and show on example the effectiveness of the obtained conditions. Another example shows, that in the nonsmooth case it is important to take into account the whole set of Lagrange multipliers, instead of dealing with a particular multiplier.
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- Franco Malerba & Fabio Montobbio, 2000. "Knowledge Flows, Structure of Innovative Activity and International Specialization," KITeS Working Papers 119, KITeS, Centre for Knowledge, Internationalization and Technology Studies, Universita' Bocconi, Milano, Italy, revised Nov 2000.
- de Mello, Luiz R, Jr, 1999.
"Foreign Direct Investment-Led Growth: Evidence from Time Series and Panel Data,"
Oxford Economic Papers,
Oxford University Press, vol. 51(1), pages 133-151, January.
- L.R. de Mello Jr., 1996. "Foreign Direct Investment-Led Growth: Evidence from Time Series and Panel Data," Studies in Economics 9615, School of Economics, University of Kent.
- Lall, Sanjaya & Teubal, Morris, 1998. ""Market-stimulating" technology policies in developing countries: A framework with examples from East Asia," World Development, Elsevier, vol. 26(8), pages 1369-1385, August.
- Grossman, Gene M. & Helpman, Elhanan, 1995. "Technology and trade," Handbook of International Economics,in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 25, pages 1279-1337 Elsevier.
- Grossman, G.M. & Helpman, E., 1994. "Technology and Trade," Papers 175, Princeton, Woodrow Wilson School - Public and International Affairs.
- Grossman, Gene & Helpman, Elhanan, 1995. "Technology and Trade," CEPR Discussion Papers 1134, C.E.P.R. Discussion Papers.
- Gene M. Grossman & Elhanan Helpman, 1994. "Technology and Trade," NBER Working Papers 4926, National Bureau of Economic Research, Inc.
- Bell, Martin & Albu, Michael, 1999. "Knowledge Systems and Technological Dynamism in Industrial Clusters in Developing Countries," World Development, Elsevier, vol. 27(9), pages 1715-1734, September.
- Fagerberg, Jan, 1988. "International Competitiveness," Economic Journal, Royal Economic Society, vol. 98(391), pages 355-374, June.
- Jan Fagerberg, 1988. "International Competitiveness," Working Papers Archives 1988001, Centre for Technology, Innovation and Culture, University of Oslo.
- Chui, Michael, et al, 2002. " North-South Models of Growth and Trade," Journal of Economic Surveys, Wiley Blackwell, vol. 16(2), pages 123-165, April.
- Krugman, Paul, 1979. "A Model of Innovation, Technology Transfer, and the World Distribution of Income," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 253-266, April.
- Keith E. Maskus, 1991. "Comparing International Trade Data and Product and National Characteristics Data for the Analysis of Trade Models," NBER Chapters,in: International Economic Transactions: Issues in Measurement and Empirical Research, pages 17-60 National Bureau of Economic Research, Inc.
- Laursen, Keld, 1999. "The impact of technological opportunity on the dynamics of trade performance," Structural Change and Economic Dynamics, Elsevier, vol. 10(3-4), pages 341-357, December.
- Keld Laursen, 1996. "The Impact of Technological Opportunity on the Dynamics of Trade Performance," DRUID Working Papers 96-12, DRUID, Copenhagen Business School, Department of Industrial Economics and Strategy/Aalborg University, Department of Business Studies.
- Jan Fagerberg & Gunnar Sollie, 1987. "The method of constant market shares analysis reconsidered," Working Papers Archives 1987001, Centre for Technology, Innovation and Culture, University of Oslo.
- Soete, Luc & Verspagen, Bart & ter Weel, Bas, 2010. "Systems of Innovation," Handbook of the Economics of Innovation, Elsevier.
- Soete, Luc & Verspagen, Bart & Weel, Bas ter, 2009. "Systems of Innovation," MERIT Working Papers 062, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
- Bas ter Weel & L. Soete & B. Verspagen, 2010. "Systems of innovation," CPB Discussion Paper 138, CPB Netherlands Bureau for Economic Policy Analysis.
- M. V. Posner, 1961. "International Trade And Technical Change," Oxford Economic Papers, Oxford University Press, vol. 13(3), pages 323-341.
- Antoine Magnier & Joël Toujas-Bernate, 1994. "Technology and trade: Empirical evidences for the major five industrialized countries," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 130(3), pages 494-520, September.
- Greenhalgh, Christine, 1990. "Innovation and Trade Performance in the United Kingdom," Economic Journal, Royal Economic Society, vol. 100(400), pages 105-118, Supplemen.
- Fabio Montobbio, 2003. "Sectoral patterns of technological activity and export market share dynamics," Cambridge Journal of Economics, Oxford University Press, vol. 27(4), pages 523-545, July.
- Giovanni Amendola & Giovanni Dosi & Erasmo Papagni, 1993. "The dynamics of international competitiveness," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 129(3), pages 451-471, September. Full references (including those not matched with items on IDEAS)
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