academic web-page of Vincenzo Scalzo

 

Affiliation

Department of Economics and Statistics (Dipartimento di Scienze Economiche e Statistiche), University Federico II of Naples, Italy

Address: via Cinthia, 21 80126 Napoli

Room: D6 phone number: +39081675007 e-mail: scalzo@unina.it

 

Position

Full Professor in Mathematics for Economics and Finance

 

Institutional Responsibilities

2021 2022 Member of the National Committee for the Evaluation of Research Quality in Italian Universities (acronym VQR)

2018 2021 Member of the Italian Scientific National Qualification Committee for the academic positions of Associated Professor and Full Professor (acronym ASN)

2015 to present Coordinator of the Erasmus Exchanges Program between the Department of Economics and Statistics, University of Naples Federico II, and the University of Vigo and University of Santiago de Compostela (Spain)

 

Topics of Research

Existence and convergence of equilibria and weak equilibria in discontinuous games. Mathematics for Game Theory and Economics.

 

Publications on International Journals

31. Other-regarding behavior in fuzzy non-cooperative games: existence of altruistic equilibria, Fuzzy Sets and Systems, Online First Article (2022)

30. Existence of alpha-core allocations in economies with non-ordered and discontinuous preferences, Economic Theory Bulletin 10 (1), 1 12 (2022)

29. Existence of doubly strong equilibria in generalized games and quasi-Ky Fan minimax inequalities, Journal of Mathematical Analysis and Applications 514 (1), Article 126258 (2022)

28. Non-emptiness of the alpha-core: sufficient and necessary conditions (with A. Basile), International Journal of Game Theory 49 (4), 1143 1153 (2020)

27. Existence of strong equilibrium in discontinuous games, Journal of Mathematical Analysis and Applications 491 (1), Article 124247 (2020)

26. On the uniqueness of Nash equilibrium in discontinuous ordinal and normal form games, Economic Theory Bulletin 8, 163 168 (2020)

25. Equilibrium existence in games: slight single deviation property and Ky Fan minimax inequality, Journal of Mathematical Economics 82, 197 201 (2019)

24. Continuity properties of the Nash equilibrium correspondence in a discontinuous setting, Journal of Mathematical Analysis and Applications, 473, 1270 1279 (2019)

23. A new view on Arrovian dictatorship in a fuzzy setting (with A. Basile), Fuzzy Sets and Systems 349, 99 106 (2018)

22. Weak maximal elements and weak equilibria in ordinal games with applications to exchange economies, Economic Theory Bulletin 6 (1), 29 39 (2018)

21. Remarks on the existence and stability of some relaxed Nash equilibrium in strategic form games, Economic Theory 61, 571 586 (2016)

20. On the existence of maximal elements, fixed points and equilibria of generalized games in a fuzzy environment, Fuzzy Sets and Systems 272, 126 133 (2015)

19. On the existence of essential and trembling-hand perfect equilibria in discontinuous games, Economic Theory Bulletin 2 (1), 1 12 (2014)

18. Essential equilibria of discontinuous games, Economic Theory 54 (1) , 27 44 (2013)

17. Discontinuous stable games and efficient Nash equilibria, Economics Letters 115 (3), 387 389 (2012)

16. Existence of equilibrium prices for discontinuous excess demand correspondences, The AUCO Czech Economic Review 5 (2), 203 210 (2011)

15. Fuzzy interval cooperative games (with L. Mallozzi and S. Tijs), Fuzzy Sets and Systems 165, 103 110 (2011)

14. Existence of minmax points in discontinuous strategic games, Journal of Mathematical Analysis and Applications 374, 331 333 (2011)

13. Pareto efficient Nash equilibria in discontinuous games, Economics Letters 107 (3), 364 365 (2010)

12. Lower convergence of approximate solutions to vector quasi-variational problems (with M. B. Lignola and J. Morgan), Optimization 59 (6), 821 832 (2010)

11. Hadamard well-posedness in discontinuous non-cooperative games, Journal of Mathematical Analysis and Applications 360, 697 703 (2009)

10. On the uniform convergence in some classes of non-necessarily continuous functions, International Journal of Contemporary Mathematical Sciences 4 (13), 617 624 (2009)

9. Pseudocontinuity is necessary and sufficient for order-preserving continuous representations, Real Analysis Exchange 34 (1), 239 248 (2009)

8. Variational stability of social Nash equilibria (with J. Morgan), International Game Theory Review 10 (1), 17 24 (2008)

7. Asymptotical behavior of finite and possible discontinuous economies (with J. Morgan), Economic Theory 33 (2), 407 412 (2007)

6. Pseudocontinuous functions and existence of Nash equilibria (with J. Morgan), Journal of Mathematical Economics 43 (2), 174 183 (2007)

5. Discontinuous but well-posed optimization problems (with J. Morgan), SIAM Journal on Optimization 17 (3), 861 870 (2006)

4. Vector Quasi-Variational Inequalities under Perturbations (with M. B. Lignola and J. Morgan), Pacific Journal of Optimization 2 (3), 599 609 (2006)

3. New results on value functions and applications to MaxSup and MaxInf problems (with J. Morgan), Journal of Mathematical Analysis and Applications 300 (1), 68 78 (2004)

2. Pseudocontinuity in optimization and non-zero sum games (with J. Morgan), Journal of Optimization Theory and Applications 120 (1), 181 197 (2004)

1. Approximate fixed point theorems in Banach spaces with applications in game theory (with R. Branzei, J. Morgan and S. Tijs), Journal of Mathematical Analysis and Applications 285 (2), 621 630 (2003)

 

Main Presentations

29. Existence of alpha-core allocations in exchange economies with non-ordered preferences, 20th SAET Conference, Seoul, South Korea, June, 13 17, 2021 (zoom conference)

28. Games with non-ordered preferences: non-emptiness of the alpha-core without continuity, 19th SAET Conference, Ischia, Italy, June 30 July 6, 2019

27. Equilibrium existence in games: slight single deviation property and Ky Fan minimax inequality, European Workshop on Economic Theory, Berlin, Germany, June 13 15, 2019

26. Equilibrium existence in ordinal games via Ky Fan minimax inequality, Research Group in Economic Analysis Workshop, Vigo, Spain, September 4, 2018

25. Weak maximal elements and weak equilibria in ordinal games, 17th SAET Conference on Current Trends in Economics, Faro, Portugal, June 25 30, 2017

24. Weak equilibria of qualitative games (and applications to exchange economies), 40th AMASES, Catania, Italy, September 15-17, 2016

23. Aggregation rules in fuzzy framework: remarks on impossibility and possibility results, 39th AMASES, Padova, Italy, September 10-12, 2015

22. Strategic form games without topological assumptions on payoffs: Is it still possible to speak on equilibrium situations? Department of Applied Economics, University of Vigo, Spain, September 3, 2015

21. Remarks on the existence and stability of some approximate equilibria in strategic form games, 15th SAET Conference on Current Trends in Economics, Cambridge, UK, July 27-31, 2015

20. Remarks on some approximate equilibria in discontinuous games: existence and strategic stability, invited speaker at the workshop Advances in game theory, Reggio Calabria, Italy, May 7, 2015

19. Maximal elements and generalized Nash equilibria in a fuzzy environment, Workshop PRIN: Robust Decision Making in Markets and Organizations, Napoli, Italy, January 29-30 2015

18. Quasi-solutions to the Ky Fan minimax inequality and quasi-Nash equilibria, Department of Economics, University of Surrey, Guildford UK, May 23, 2014

17. On the existence of Nash equilibria in discontinuous games: refinements and approximations, UECE Game Theory and Applications, ISEG Lisbon, November 7-9, 2013

16. Essential equilibria of discontinuous games, 13th SAET Conference on Current Trends in Economics, MINES ParisTech, France, July 22-27, 2013

15. Discontinuous stable games and efficient Nash equilibria, 11th SAET Conference on Current Trends in Economics, Ancao (Faro), Portugal, June 26 July 1, 2011

14. Stable Pareto efficient Nash equilibria in discontinuous games, DYSES 2010, Benevento, Italy, September 20 25, 2010

13. Bankruptcy in a fuzzy framework and new solution concepts, VI Spain Italy Netherlands Meeting on Game Theory, Palermo, Italy, July 7 9, 2010

12. Fuzzy interval cooperative games, 9th SAET Conference on Current Trends in Economics, Ischia, Italy, June 29 - July 5, 2009

11. Nash equilibria and continuous dependence on the data, IV Spain Italy Netherlands Meeting on Game Theory, Wroclaw, Poland, June 26 28, 2008

10. Hadamard well-posedness in some classes of discontinuous games, XVII European Workshop on General Equilibrium Theory, Paestum, Italy, June 13 15, 2008

9. A new look on continuous numerical representations for preference relations, 8th SAET Conference on Current Trends in Economics, Kos, Greece, June 18 24, 2007

8. Asymptotical Behavior of Finite and possible Discontinuous Economies, XII Meeting on real Analysis and Measure Theory, Ischia, Italy, July 3 7, 2006

7. Nice Asymptotical Behavior and Social Nash Equilibria, Spain Italy Netherlands Meeting on Game Theory - XVI Italian Meeting on Game Theory and Applications, Foggia, Italy, June 14 17, 2006

6. Discontinuous pseudo-games and applications, Game Theory and Mathematical Economics (International Conference in Memory of Jerzy Los), Warsaw, Poland, September 6 10, 2004

5. Relaxing semicontinuity in optimization and applications, 11th Meeting on Real Analysis and Measure Theory, Ischia, Italy, July 12 16, 2004

4. Parametric well-posedness and finite economies with exogenous parameters, 13th European Workshop on General Equilibrium Theory, Venezia, Italy, June 19 21, 2004

3. Relaxation of the semicontinuity for marginal functions, International Symposium in Mathematical Programming, Copenhagen, Denmark, August 18 23, 2003

2. Sufficient Conditions for Parametric Tykhonov Well-Posedness in Optimization and Non-Cooperative Games, 15th Italian Meeting on Game Theory and Applications, Urbino, Italy, July 9 12, 2003

1. Closedness and Social Nash Equilibria, 12th European Workshop on General Equilibrium Theory, Bielefeld, Germany, May 30 June 1, 2003