ACHILLE BASILE. Education : Higher education in Mathematics, National Institute for Advanced Mathematics F. Severi (INdAM), Rome
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1 ACHILLE BASILE Department of Mathematics and Statistics and CSEF University Federico II, Naples Facoltà di Economia via Cinthia Monte S. Angelo Naples, Italy Tel.: ; Date of birth: January 21 st, 1958 Positions present: Full Professor in Mathematical Methods for Economics, Faculty of Economics, University Federico II : Associate Professor in Mathematical Methods for Economics, Faculty of Economics, University Federico II : Assistant Professor in Mathematical Analysis, Faculty of Sciences, University Federico II Education : Higher education in Mathematics, National Institute for Advanced Mathematics F. Severi (INdAM), Rome : Laurea (Mathematics), University Federico II Other activities : Director of the Ph. D. program in Mathematics for Economic Analysis and Finance, University Federico II, Naples : Vice President of the Division of Human and Social Sciences of University Federico II, Naples : Editorial Board of Lecture Notes in Economics and Mathematical Systems, Springer-Verlag 2005 present: Dean of the Faculty of Economics, University Federico II, Naples
2 Professional Societies ITALIAN ASSOCIATION OF MATHEMATICS APPLIED TO ECONOMIC AND SOCIAL SCIENCES (AMASES) , member of Scientific Committee , General Secretary present, President ITALIAN MATHEMATICAL UNION (UMI) AMERICAN MATHEMATICAL SOCIETY SOCIETY FOR THE ADVANCEMENT OF ECONOMIC THEORY SOCIETÀ NAZIONALE DI SCIENZE LETTERE ED ARTI IN NAPOLI (ACCADEMIA DI SCIENZE FISICHE E MATEMATICHE) Scientific interests Functional Analysis, Measure Theory, Game Theory, General Equilibrium Theory, Public Economic Theory. Awards 1991 Academic Prize for Mathematical Sciences, SOCIETÀ NAZIONALE DI SCIENZE LETTERE ED ARTI IN NAPOLI.
3 ACHILLE BASILE PUBLICATIONS Su un teorema di decomposizione alla Lebesgue per topologie su anelli di insiemi, Rend. Acc. Sci. Fis. Mat. Napoli Ser. IV vol. 51/1 anno 122, 61 65, 1984 Decomposizioni di topologie su algebre di insiemi, Atti II Convegno di Topologia Taormina 4 7 aprile Supp. Rend. Circ. Mat. Palermo Ser. II n.12, , 1986 Controls of Families of Finitely Additive Functions, Ricerche di Matematica 35, , 1986 Topological Boolean Rings of First and Second Category. Separating Points for a Countable Family of Measures, Radovi Matematicki 2, , 1986 (joint with H. Weber) A Proof of Extension Theorems of s bounded Set Functions, Atti Sem. Mat. Fis. Univ. Modena 34, 65 70, 1985/86 Sequential Compactness for Sets of Sugeno Fuzzy Measures, Fuzzy Sets and System 21, , 1987 The Convergence With Respect to Small Systems Comes From a Metric, Rend. Circ. Mat. Palermo Ser. II 36, , 1987 A Remark on a Frechet Smulian Criterion, Bull. of Polish Acad. of Sci.37 n. 7/12, , 1989 Scelte comunitarie coalizioni ed infiniti agenti, Preprint n. 54, 1989, Dipartimento di Matematica e Applicazioni, University Federico II, Naples Core Walras Equivalence and Quasi countable Additivity, Studi Economici 38, 25 41, 1989 Monotonely Cauchy Locally solid Topologies, Order 7, , 1991 (joint with T. Traynor) Alcuni risultati per multifunzioni finitamente additive, Atti XV Convegno AMASES, Grado, settembre 1991, Integration: Uniform Stucture, Journal of Math. Anal. Appl. 159, , 1991 (joint with A. Avallone) Common Extension of Group valued Charges, Boll. UMI ser. 7 vol 5A, , 1991 (joint with K. P. S. Bhaskara Rao) Finitely Additive Nonatomic Coalition Production Econimies: Core walras Equivalence,
4 International Economic Review 34, , 1993 On The Liapunov richter Theorem in the Finitely Additive Setting, Journal of Mathematical Economics 22, , 1993 (joint with Anna Avallone) Ricchezza di selezioni per multifunzioni di produzione, Atti XVII Convegno AMASES, Ischia, 8 11 settembre 1993, Bounded Common Extensions of Bounded Charges, Proceedings of American Mathematical Society 121, May, , 1994, (joint with K.P.S. Bhaskara Rao and R.M. Shortt) Finitely Addittive Correspondences, Proceedings of American Mathematical Society 121, July, , 1994 The Generalized Yosida Hewitt Theorem, Mathematical Proceedings of Cambridge Philosophical Society 116, , 1994 (joint with A.V. Bukhalov and M. Yakubson) From Large Economies to Uniform Semigroup Valued Measures, Atti III Congresso "Dr. Monteiro" Bahia Blanca, April , 91 99, ISSN Equilibri di Nash per giochi non cooperativi, Atti III Congresso "Dr Monteiro" Bahia Blanca, April , , ISSN On The Generalized Dictatorship of Arrovian Social Welfare Functions, Studi Economici, 57, 35 51, 1995 On the Aubin like Characterization of Competitive Equilibria in Infinite Dimensional Economies, Rivista di Matematica per le Scienze Economiche e Sociali 19, , 1996 (joint with Anna De Simone and Maria Gabriella Graziano) On a Unifying Approach to Decomposition Theorems of Yosida Hewitt type, Annali di Matematica Pura e Applicata 173, , 1997 (joint with A. V. Bukhvalov) Liapunov Richter Theorem in B convex Spaces, Journal of Mathematical Economics 30, , 1998, (joint with Anna Avallone) On the Range of Additive Correspondences, nel volume Functional Analysis and Economic Theory, Eds: Y. Abramovich, E. Avgerinos and N. C. Yannelis, Springer Verlag, Berlin, 1998, ISBN The completeness of Lp spaces in the finitely additive setting and related stories, Journal of Math. Anal. Appl. 248, , 2000 (joint with K.P.S. Bhaskara Rao). Economisti e matematica, dal 1494 fino al 1969, oltre l'arte del far di conto, Atti Terzo Convegno Matematica e Cultura, Venezia 1999, Springer Italia (joint with Marco Li Calzi).
5 Chi ha detto che un Matematico non può vincere il Nobel?, Atti Terzo Convegno Matematica e Cultura, Venezia 1999, Springer Italia (joint with Marco Li Calzi). On the Edgeworth s conjecture in finitely additive economies with restricted coalitions, Journal of Math. Economics 36, , 2001 (joint with Maria Gabriella Graziano). On a Marinacci uniqueness theorem for measures, Journal of Mathematical Analysis and Applications 286, , 2003 (joint with Anna Avallone). On a linearity theorem for measures, Scientiae Mathematicae Japonicae 60, n.3, , 2004 (joint with Anna Avallone). Coalitional economies with public projects, Social Choice and Welfare 25, , 2005 (joint with Anna De Simone and Maria Gabriella Graziano). DOI: /s Positive operators à la Aumann Shapley on spaces of functions on D lattices, Positivity 10, , 2006, (joint with Anna Avallone and Paolo Vitolo). DOI: /s On the Aumann Shapley value, Positivity 12, , 2008 (joint with Camillo Costantini and Paolo Vitolo). DOI: /s x Core and equilibria in coalitional asymmetric information economies, Journal of Math. Economics 45, , 2009 (joint with Chiara Donnini and Maria Gabriella Graziano). Economies with informational asymmetries and limited vetoer coalitions, Economic Theory, 45, , 2010 (joint with Chiara Donnini and Maria Gabriella Graziano). doi: /j.jmateco Core Equivalences for Equilibria Supported by Non linear Prices, Positivity, 17, , 2013 (joint with Maria Gabriella Graziano), DOI: /s Mixed Markets with Public Goods, CSEF Working Papers ISSN: , N. 261, 2010 (joint with Maria Gabriella Graziano and Marialaura Pesce). On Fairness of Equilibria in Economies with Differential Information, Theory and Decision, 76, , 2014 (joint with Maria Gabriella Graziano and Marialaura Pesce). DOI /s z Oligopoly and cost sharing in economies with public goods, International Economic Review, forthcoming (joint with Maria Gabriella Graziano and Marialaura Pesce).
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