base

Gianni BOSI

University of Trieste

+39-040-558.7115 (office)

Department of Applied

Mathematics

+39-040-54209 (fax)

Faculty of Economics

gianni.bosi@econ.univ.trieste.it

Piazzale Europa 1,

34127 Trieste, Italy

Education

1989 - 1992

University of Trieste, Ph.D. (Appl. Mathematics)

Thesis: Theoretical Aspects of Financial Immunization

1981 - 1986

University of Trieste, Laurea (Statistics)

Thesis: Kalman Filter and Hierarchycal Models

Employment:

1990 - 2000

Tenured Research Associate

2001 - 2004

Associate Professor of Mathematics applied to Economical Sciences, (teaching: undergraduate level basic mathematics for economics), University of Trieste, Italy

2005 - present

Full Professor of Mathematics applied to Economical Sciences, University of Trieste, Italy

Qualifications:

April 1988

Qualification as Actuary, University "La Sapienza", Rome, Italy

Scientific interests:

Preference structures and utility theory; preferences with intransitive indifference; linear and non-linear utility; certainty equivalence; price functionals; premium functionals.

Click here to see all publications.

Main publications and forthcoming papers (see also Scopus, Econlit, Matscinet and Zentralblatt MATH):

45. G. Bosi, J. Gutierrez-Garcia, E. Indurain (2009), Unified representability of total preorders and interval orders through a single function: The lattice approach, Order, to appear

44. G. Bosi, R. Isler (2009), Continuous utility functions for nontotal preorders: a review of recent results, to appear in S. Greco, R. A. Marques Pereira, M. Squillante, R. R. Yager, J. Kacprzyk (eds), "References and Decisions: Models and Applications." in the series "Studies in Fuzziness and Soft Computing", Springer, series editor Janusz Kacpryzk, to appear

43. G. Bosi, M.E. Zuanon (2009), Continuous multi-utility for extremely continuous preorders, International Journal of Contemporary Mathematical Sciences, 4, no. 9, pp. 439Ð445

42. J.C.R. Alcantud, G. Bosi, M.J. Campion, J.C. Candeal, E. Indurain, C. Rodriguez-Palmero (2008), Continuous utility functions through scales, Theory and Decision, vol. 64, pp. 479-494 ISSN: 0040-5833. doi:10.1007/s11238-007-9025-7

41. G. Bosi (2008), A note on continuity and continuous representability of interval orders, International Mathematical Forum, vol. 3, pp.1563-1568, ISSN 1312-7594

40. G. Bosi, G. Herden (2008), Continuous utility representations theorems in arbitrary concrete categories, Applied Categorical Structures, vol. 16, pp. 629-651, ISSN 0927-2852, doi:10.2007/s10485-007-9097-0

39. G. Bosi, M.J. Campion, J.C. Candeal, E. Indurain, M.E. Zuanon (2007), Isotonies on ordered cones through the concept of a decreasing scale, Mathematical Social Sciences, vol. 54, pp.115-127, ISSN 0165-896

38. G. Bosi, R. Isler (2007), A full characterization of continuous representability of interval orders, Mathematica Pannonica, vol. 18, pp. 125-134, ISSN 0865-2090

37. G. Bosi, J.C. Candeal, M.J. Campion and E. Indurain, Interval-valued representability of qualitative data: the continuous case, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15, 2007, 299-319

36. G. Bosi, M.E. Zuanon, Semicontinuous representability of interval orders on a metrizable topological space, International Journal of Contemporary Mathematical Sciences Vol. 2, no. 18, 2007, 853 - 858

35. G. Bosi, J.C. Candeal and E. Indurain, Continuous representability of interval orders and biorders, Journal of Mathematical Psychology 51, 2007, 122-125

34. G. Bosi and G. Herden, On a possible continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller, Order 23, 2006, 271-296

33. G. Bosi, Continuous representation of interval orders by means of decreasing scales, Matematicki Vesnik 58, 2006, 111-117

32. J.C.R. Alcantud, G. Bosi, C. Rodriguez-Palmero, M.E. ZuanonMathematical utility theory and the representability of demand by continuous homogeneous functions, Portuguese Economic Journal Vol. 5, Issue 3, 2006, 195-205

31. G. Bosi, R. Isler, Continuous representability of interval orders: a full characterization, Bulletins for Applied and Computer Mathematics BAM-CIX/2006 Nr.2280, 2006, 61-67

30. G. Bosi, Characterization of the existence of a weak qualitative probability, International Mathematical Forum 1, 2006, 157-163

29. G. Bosi, R. Isler, Rappresentabilit\`a continua di relazioni binarie: una panoramica sui risultati recenti, in P. Amenta, L. D'Ambra, M. Squillante, A.Ventre, Metodi, Modelli e Tecnologie dell'informazione a supporto delle decisioni, ed. Franco Angeli, 2006, 11-19, ISBN 88-464-7440-6

28. G. Bosi and G. Herden, On a strong continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller, Order 22, 2005, 329-342.

27. G. Bosi, M.J. Campion, J.C. Candeal, E. Indurain, M.E. Zuanon, Numerical isotonies of preordered semigroups through the concept of a scale, Mathematica Pannonica 16, 2005, 65-77.

26. G. Bosi, J.C. Candeal, E. Indurain, M. Zudaire, Existence of homogeneous representations of interval orders on a cone in a topological vector space, Social Choice and Welfare Vol. 45, 2005, 45-61

25. G. Bosi, Quasi-integral utility for arbitrary preferences, International Mathematical Journal Vol. 5, no. 8, 2004, 687-698.

24. G. Bosi, Expected utility with pseudotransitive preferences, Mathematica Pannonica 15, Issue 1, 2004, 45-54

23. J.C.R. Alcantud, G. Bosi, On the existence of certainty equivalents of various relevant types", Journal of Applied Mathematics, Volume 2003, Issue 9, 447--458

22. G. Bosi, M.E. Zuanon, Choquet utility for noncomplete preferences, International Mathematical Journal 3, 2003, 681-687

21. G. Bosi, M.E. Zuanon, Continuous representability of homothetic preorders by means of sublinear order-preserving functions, Mathematical Social Sciences 45, 2003, 333-341

20. G. Bosi, G. B. Mehta, Utility Representations: New Results and Open Problems, in Utility Theory and Applications, Dipartimento di Matematica applicata "Bruno de Finetti", Università di Trieste, Pubblicazione n. 7, 2003, 15-38

19. G. Bosi, G. B. Mehta, Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof, Journal of Mathematical Economics 38, 2002, 311-328

18. G. Bosi, G. Herden, On the structure of completely useful topologies, Applied General Topology 3, 2002, 145-167

17. G. Bosi, Existence of a continuous certainty equivalent for a complete preorder on the space of upper-continuous capacities, Pure Mathematics and Applications 12, 2001, 249--253

16. G. Bosi, Semicontinuous representability of homothetic interval orders by means of two homogeneous functionals, Theory and Decision 52, 2002, 303-312

15. G. Bosi, M.E. Zuanon, Existence of comonotonically additive utility functionals and Choquet integral representations with applications to decision theory and mathematical finance, International Mathematical Journal 1, 2002, 533-541

14. G. Bosi, J.C. Candeal, E. Induráin, E. Oloriz and M. Zudaire, Numerical representations of interval orders, Order 18 (2001), 171-190

13. G. Bosi and M.E. Zuanon, Sublinear and continuous order-preserving functions for noncomplete preorders, Proceedings of Ninth Prague Topological Symposium, (Prague, 2001), pp. 1--8, Topology Atlas, Toronto, 2002

12. G. Bosi, R. Isler, Continuous order-preserving functions on a preordered completely regular topological space, Rendiconti dell'Istituto di Matematica dell'Università di Trieste, Suppl. 2, Vol. XXXII (2001), 9-15

11. G. Bosi, R. Isler, Continuous representability of complete preorders on the space of upper-continuous capacities, Applied General Topology 2, 2001, 27-31

10. G. Bosi, M.E. Zuanon, Existence of price functionals with bid-ask spreads on the space of all integrable contingent claims, Cahiers de Recherche, CEREG, Université Paris IX Dauphine, 2001-3

9. G. Bosi, J.C. Candeal, E. Induráin, Continuous representability of homothetic preferences by means of homogeneous utility functions, Journal of Mathematical Economics 33 (2000), 291-298

8. G. Bosi, R. Isler, Separation axioms in topological preordered spaces and the existence of continuous order-preserving functions, Applied General Topology 1 (2000), 93-98

7. G. Bosi, M.E. Zuanon, Homogeneous and continuous order-preserving functions for noncomplete preorders, Rendiconti per gli Studi Economici Quantitativi (2000), 16-24

6. G. Bosi, Existence of a positively homogeneous and translation invariant continuous certainty equivalent, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, 93 (1999), 463-466

5. G. Bosi, A note on the existence of continuous representations of homothetic preferences on a topological vector space, Annals of Operations Research 80 (1998), 263-268

4. G. Bosi, R. Isler, Representing preferences with nontransitive indifference by a single real-valued function, Journal of Mathematical Economics 24 (1995), 621-631

3. G. Bosi, Continuous representations of interval orders based on induced preorders, Rivista di Matematica per le Scienze economiche e sociali, Anno XVIII, Fascicolo I (1995), 75-82

2. G. Bosi, R. Isler, Topological Characterizations of Posets, in Decision Theory and Decision Analysis: Trends and Challenges, Kluwer, 1994, 139 - 145

1. G. Bosi, A numerical representation of semiorders on a countable set, Rivista di Matematica per le Scienze economiche e sociali, Anno XVI, Fascicolo II (1993), 15-19

University of Trieste		+39-040-558.7115 (office)
Department of Applied	Mathematics	+39-040-54209 (fax)
Faculty of Economics		gianni.bosi@econ.univ.trieste.it
Piazzale Europa 1,	34127 Trieste, Italy




Education	1989 - 1992	University of Trieste, Ph.D. (Appl. Mathematics)
		Thesis: Theoretical Aspects of Financial Immunization

	1981 - 1986	University of Trieste, Laurea (Statistics)
		Thesis: Kalman Filter and Hierarchycal Models

Employment:	1990 - 2000	Tenured Research Associate

	2001 - 2004	Associate Professor of Mathematics applied to Economical Sciences, (teaching: undergraduate level basic mathematics for economics), University of Trieste, Italy

	2005 - present	Full Professor of Mathematics applied to Economical Sciences, University of Trieste, Italy

Qualifications:	April 1988	Qualification as Actuary, University "La Sapienza", Rome, Italy

Scientific interests:		Preference structures and utility theory; preferences with intransitive indifference; linear and non-linear utility; certainty equivalence; price functionals; premium functionals.