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, R. Tomassini (2026), Multi-commodity production planning under uncertainty via semi-infinite programming; in M.Doneda, D.Palagso, A.Raffaele, M.L.Tessitore (eds.), Optimization between determinism and uncertainty, AIRO Springer Series, to appear

  2. G. Bigi, M. Castellani, S. Latini (2025), Nonsmooth techniques for computing projected solutions of quasiequilibria via gap functions;
    Journal of Optimization Theory and Applications, to appear (doi:     10.1007/s10957-025-02865-4)

  3. G. Bigi, R. Tomassini (2025), Equilibrium selection in oligopolistic markets; in M.Cosmi, D.Duma, A.Mancuso, C.Tomasi, E.Vercesi (eds.), Shaping a Sustainable Future in the Era of Big Data, AIRO Springer Series, to appear

  4. G. Bigi, M. Castellani, S. Latini (2025), An extragradient algorithm for a lifted reformulation of projected solutions for quasiequilibria;
    Journal of Global Optimization, Vol. 92, pp. 1071-1090 (doi: 10.1007/s10898-025-01508-2)

  5. D. Fioriti, G. Bigi, A. Frangioni, M. Passacantando, D. Poli (2024), Fair Least Core: efficient, stable and unique game-theoretic reward allocation in Energy Communities by row-generation; IEEE Transactions on Energy Markets, Policy, and Regulation, Vol. 3, pp. 170-181, (doi: 10.1109/TEMPR.2024.3495237, direct download here)

  6. G. Bigi, L. Lampariello, S. Sagratella, V.G. Sasso (2023), Approximate variational inequalities and equilibria;
    Computational Management Science, doi: 10.1007/s10287-023-00476-w (direct download here)

  7. G. Bigi, L. Lampariello, S. Sagratella (2022), Combining approximation and exact penalty in hierarchical programming;
    Optimization, Vol. 71, pp. 2403-2419 (doi: 10.1080/02331934.2021.1939336)

  8. 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)

  9. 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)

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

  11. 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)

  12. 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)

  13. 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)

  14. 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)

  15. 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)

  16. 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)

  17. 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)

  18. 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)

  19. 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)

  20. 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)

  21. 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)

  22. 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)

  23. 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)

  24. 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)

  25. 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)

  26. 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)

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

  28. 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)

  29. 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)

  30. 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)

  31. 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.

  32. 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)

  33. 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)

  34. 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)

  35. 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.

  36. 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

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