Download Advances in Mathematical Economics by C. Castaing, M. Saadoune (auth.), Shigeo Kusuoka, Akira PDF

By C. Castaing, M. Saadoune (auth.), Shigeo Kusuoka, Akira Yamazaki (eds.)

A lot of financial difficulties can formulated as limited optimizations and equilibration in their options. a number of mathematical theories were providing economists with necessary machineries for those difficulties bobbing up in financial thought. Conversely, mathematicians were motivated by means of a variety of mathematical problems raised through monetary theories. The sequence is designed to assemble these mathematicians who have been heavily attracted to getting new tough stimuli from fiscal theories with these economists who're looking for powerful mathematical instruments for his or her researchers. individuals of the editorial board of this sequence involves following widespread economists and mathematicians: handling Editors: S. Kusuoka (Univ. Tokyo), A. Yamazaki (Hitotsubashi Univ.) - Editors: R. Anderson (U.C.Berkeley), C. Castaing (Univ. Montpellier II), F. H. Clarke (Univ. Lyon I), E. Dierker (Univ. Vienna), D. Duffie (Stanford Univ.), L.C. Evans (U.C. Berkeley), T. Fujimoto (Fukuoka Univ.), J. -M. Grandmont (CREST-CNRS), N. Hirano (Yokohama nationwide Univ.), L. Hurwicz (Univ. of Minnesota), T. Ichiishi (Hitotsubashi Univ.), A. Ioffe (Israel Institute of Technology), S. Iwamoto (Kyushu Univ.), ok. Kamiya (Univ. Tokyo), ok. Kawamata (Keio Univ.), N. Kikuchi (Keio Univ.), T. Maruyama (Keio Univ.), H. Matano (Univ. Tokyo), ok. Nishimura (Kyoto Univ.), M. ok. Richter (Univ. Minnesota), Y. Takahashi (Kyoto Univ.), M. Valadier (Univ. Montpellier II), M. Yano (Keio Univ).

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Let F be a separable Banach space. Let G be a nonempty weakly compact subset of L\^{[0, 1], dt) and let W be the closed unit ball of L^,([0, 1], dt). Let A '. G ^^ W a mapping transforming weakly convergent sequences in G into sequences in W converging in measure with respect to the norm topology of F\ Let j be a convex normal integrand defined on[0, I] x F satisfying 0

In: Calculus of variations and optimal control, Haifa (1998), Chapman Hall, Boca Raton 24-48 (2000) 3. : A general approach to lower semicontinuity result and lower closure in optimal control theory. SIAM J. Control Optim. 22, 570-598 (1984) 4. : Two generalizations of Komlos theorem with lower closuretype aplications. J. Convex Anal. 3, 25-44 (1996) 5. , Castaing, C: Weak compactness and convergences in L^,[£']. Adv. Math. Econ. 3, 1-44 (2001) 6. : Topologies on closed and closed convex sets. Kluwer, Dordrecht 1993 7.

The aim of this paper is to discuss the role of the elasticity of capital-labor substitution on the local determinacy properties of the steady state in a two-sector economy with CES technologies and sector-specific externalities. Key words: sector-specific externalities, constant returns, capital-labor substitution, indeterminacy. 1. Introduction Recently, a large number of papers have established the fact that locally indeterminate equilibria and sunspots fluctuations easily arise within two-sector infinite-horizon growth models with sector specific external effects in production and linear preferences.

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