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
32. Existence and stability results on the
unilateral support equilibrium, Mathematical Social Sciences 123, 1 – 9 (2023)
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)
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