Giancarlo Bigi


Address

Giancarlo BIGI
Dipartimento di Informatica
Largo B.Pontecorvo, 3
56127 Pisa
Tel. (+39) 050 2213124
Fax. (+39) 050 2212726
giancarlo.bigi at unipi.it (replace "at" by @)


Academic Positions and Qualifications

12/2017-present: Associate Professor of Operations Research, Dipartmento di Informatica, Università di Pisa
07/2000-11/2017: Assistant Professor of Operations Research, Dipartmento di Informatica, Università di Pisa
11/1997-10/2002: Ph.D. Student in Mathematics, Dipartimento di Matematica, Università di Pisa

ASN - (Italian) National Scientific Habilitation for

- full professorship in the scientific area 01/A6 "Operations research" (achieved on 28 March 2018)

- full professorship in the scientific area 13/D4 "Mathematical methods of economics and financial and actuarial sciences" (achieved on 3 March 2015).

- associate professorship in the scientific area 01/A6 "Operations research" (achieved on 30 March 2017)

- associate professorship in the scientific area 13/D4 "Mathematical methods of economics and financial and actuarial sciences" (achieved on 5 February 2014)


Recent Publications

  1. G. Bigi, L. Lampariello, S. Sagratella (2021), Combining approximation and exact penalty in hierarchical programming;
    Optimization, doi: 10.1080/02331934.2021.1939336

  2. G. Bigi, M. Castellani, M. Pappalardo, M. Passacantando (2019), Nonlinear Programming Techniques for Equilibria;
    EURO Advanced Tutorials on Operational Research, Springer (doi: 10.1007/978-3-030-00205-3)

  3. G. Bigi, M. Passacantando (2017), Differentiated oligopolistic markets with concave cost functions via Ky Fan inequalities;
    Decisions in Economics and Finance, Vol. 40, pp. 63-79 (doi: 10.1007/s10203-017-0187-7)

  4. G. Bigi, M. Passacantando (2017), Auxiliary problem principles for equilibria;
    Optimization, Vol. 66, pp. 1955-1972 (doi: 10.1080/02331934.2016.1227808)

  5. G. Bigi, M. Passacantando (2016), Gap functions for quasi-equilibrium problems;
    Journal of Global Optimization, Vol. 66, pp. 791-810 (doi: 10.1007/s10898-016-0458-9)

  6. G. Bigi, M. Pappalardo, M. Passacantando (2016), Optimization tools for solving equilibrium problems with nonsmoth data;
    Journal of Optimization Theory and Applications, Vol. 171, pp. 887-905 (doi: 10.1007/s10957-016-0974-2)

  7. G. Bigi, A. Bracciali, G. Meacci, E. Tuosto (2015), Validation of decentralised smart contracts through game theory and formal methods;
    in C. Bodei, G.-L. Ferrari, C.Priami (eds.), Programming languages with applications to biology and security,
    Lecture Notes in Computer Science 9465, Springer, pp. 142-161 (doi: 10.1007/978-3-319-25527-9_11)

  8. G. Bigi, M. Passacantando (2015), D-gap functions and descent techniques for solving equilibrium problems;
    Journal of Global Optimization, Vol. 62, pp. 183-203 (doi: 10.1007/s10898-014-0223-x)

  9. G. Bigi, M. Passacantando (2015), Twelve monotonicity conditions arising from algorithms for equilibrium problems;
    Optimization Methods and Software, Vol. 30, pp. 323-337 (doi: 10.1080/10556788.2014.900552)

  10. G. Bigi, M. Passacantando (2015), Descent and penalization techniques for equilibrium problems with nonlinear constraints;
    Journal of Optimization Theory and Applications, Vol. 164, pp. 804-818 (doi: 10.1007/s10957-013-0473-7)

  11. G. Bigi, M. Castellani, M. Pappalardo, M. Passacantando (2013), Existence and solution methods for equilibria;
    European Journal of Operational Research, Vol. 227, pp. 1-11 (doi: 10.1016/j.ejor.2012.11.037)

  12. G. Bigi, A. Frangioni and Q. Zhang (2012), Beyond canonical DC-Optimization: the single reverse polar problem;
    Journal of Optimization Theory and Applications, Vol. 155, pp. 430-452 (doi: 10.1007/s10957-012-0069-7)

  13. G. Bigi, M. Passacantando (2012), Gap functions and penalization for solving equilibrium problems with nonlinear constraints;
    Computational Optimization and Applications, Vol. 53, pp. 323-346 (doi: 10.1007/s10589-012-9481-z)

  14. G. Bigi, A. Capata and G. Kassay (2012), Existence results for strong vector equilibrium problems and their applications;
    Optimization, Vol. 61, 567-583 (doi: 10.1080/02331934.2010.528761)

  15. G. Bigi, A. Frangioni and Q. Zhang (2010), Approximate optimality conditions and stopping criteria in canonical DC programming;
    Optimization Methods and Software, Vol. 25, 19-27 (doi: 10.1080/10556780903178048)

  16. G. Bigi and B. Panicucci (2010), A successive linear programming algorithm for nonsmooth monotone variational inequalities;
    Optimization Methods and Software, Vol. 25, 29-35 (doi: 10.1080/10556780903157885)

  17. G. Bigi, A. Frangioni and Q. Zhang (2010), Outer approximation algorithms for canonical DC problems;
    Journal of Global Optimization, Vol. 46, pp. 163-189 (doi: 10.1007/s10898-009-9415-1)

  18. G. Bigi, M. Castellani and M. Pappalardo (2009), A new solution method for equilibrium problems;
    Optimization Methods and Software, Vol. 24, 895-911 (doi: 10.1080/10556780902855620)

  19. G. Bigi, M. Castellani and G. Kassay (2008), A dual view of equilibrium problems;
    Journal of Mathematical Analysis and Applications, Vol. 342, 17-26 (doi: 10.1016/j.jmaa.2007.11.034)

  20. G. Bigi (2006), On sufficient second order optimality conditions in multiobjective optimization;
    Mathematical Methods of Operations Research, Vol. 63, pp. 77-85 (doi: 10.1007/s00186-005-0013-9)

  21. G. Bigi (2005), Componentwise versus global approaches to nonsmooth multiobjective optimization;
    Journal of Industrial and Management Optimization, Vol. 1, pp. 21-32

  22. G. Bigi and M. Pappalardo (2005), About the duality gap in vector optimization ;
    in F.Giannessi and A.Maugeri (eds.) Variational Analysis and Applications, Springer, pp. 195-204 (doi: 10.1007/0-387-24276-7_14)

  23. G. Bigi and M. Castellani (2004), Uniqueness of KKT multipliers in multiobjective programming;
    Applied Mathematics Letters, Vol. 17, pp. 1985-1290 (doi: 10.1016/j.aml.2003.10.011)

  24. G. Bigi and M. Castellani (2002), K-epiderivatives for set-valued functions and optimization;
    Mathematical Methods of Operations Research, Vol. 55, pp. 401-412 (doi: 10.1007/s001860200187)

  25. G. Bigi (2002), Saddlepoint optimality criteria in vector optimization ;
    in A.Guerraggio et al. (eds.), Optimization in Economics, Finance and Industry, Datanova, pp. 85-102.

  26. G. Bigi and M. Castellani (2000), Second order optimality conditions for differentiable multiobjective problems;
    Rairo-Operations Research, Vol. 34, pp 411-426 (doi: 10.1051/ro:2000122)

  27. G. Bigi and M. Pappalardo (2000), Generalized Lagrange multipliers: regularity and boundedness;
    in G. Di Pillo and F. Giannessi (eds.), Nonlinear Optimization and Related Topics, Kluwer, pp. 1-14 (doi: 10.1007/978-1-4757-3226-9_1)

  28. G. Bigi and M. Pappalardo (1999), Regularity conditions in vector optimization;
    Journal of Optimization Theory and Applications, Vol. 102, pp. 83-96 (doi: 10.1023/A:1021890328184)

  29. G. Bigi and M. Pappalardo (1999), On Lagrangian saddlepoints in vector optimization;
    in G.Giorgi and F.Rossi (eds.), Generalized Convexity and Optimization for Economic
    and Financial Decisions
    , Pitagora, pp. 33-46.

  30. G. Bigi and M. Pappalardo (1998), Regularity conditions for the linear separation of sets;
    Journal of Optimization Theory and Applications, Vol. 99, pp. 533-540 (doi: 10.1023/A:1021738714110)

    Ph.D Thesis

  31. G. Bigi (2003), Optimality and Lagrangian Regularity in Vector Optimization;
    Ph.D. Thesis in Mathematics, Università di Pisa, S.E.U., pp. 144.