• ARCAINI, Gabriella, Medical Center, Brembate S., Italy
• BERTINI, Cesarino, Department of Mathematics, Statistics, Computer Science and Applications, University of Bergamo, Italy.
• BONATI, Giovanni, Information Systems, Rizzoli Spa, Milano, Italy
• DRAGAN, Irinel, Dept. of Math., University of Texas at Arlington, TX, U.S.A.
• FREIXAS, Josep, Dept. of Appl. Math., Univ. Polit. de Catalunya, Manresa, Spain
• GRECO, Salvatore, Inst. of Mathematics, Univ. of Catania, Italy
• HOLLER, Manfred J., Inst. of SocioEconomics, University of Hamburg, Germany
• HOLUBIEC, Jerzy, Systems Res. Inst., Polish Academy of Sciences, Warsaw, Poland
• KACPRZYK, Janusz , Systems Res. Inst., Polish Academy of Sciences, Warsaw, Poland
• LUCKI, Zbigniew, Fac. of Management, Univ. of Mining and Metal., Krakow, Poland
• MERCANTI, Stefania, Dept. of Math., University of Bergamo, Italy
• MERCIK, Jacek, Institute of Production Engineering and Management, Technical University of Wroklaw, Poland
• MILLER, Nicholas Rowsell, Dept. of Political Science, Univ. of Maryland Baltimore County, Baltimore, MD, USA.
• OWEN, Guillermo, Dept. of Math., Naval Postgraduate School, Monterey, CA, U.S.A.
• PALESTINI, Arsen , Faculty of Economics, University of Bologna, Italy
• PEDERZOLI, Giorgio , Dept. of Quant. Meth., Concordia University, Montreal, Canada
• PESCE, Serena, Banco di Brescia, Bergamo, Italy
• PIANA, Paola, Fac. of Economics (degree), University of Bergamo, Italy
• RAMSEY, David, Dept. of Mathematics and Statistics, University of Limerick, Ireland.
• RESTI, Andrea, Dept. of Math., University of Bergamo, Italy
• ROSSETTI, Franca, Dept. of Math., University of Bergamo, Italy
• RUSINOWSKA, Agnieszka, CNRS - Université Lumière Lyon 2, France
• STACH, Izabella, Faculty of Management, AGH University of Science and Technology, Krakow, Poland.
• STEFANI, Silvana , Dept. of Quantitative Methods, University of Brescia, Italy
• SZEGO, Giorgio, Dept. of Econ. Theories, Univ. "La Sapienza", Roma, Italy
• URISTANI, Angelo, Doctorate on Computational Methods for Forecasting and Decision Making in Economics and Finance, University of Bergamo, Italy.
• ZAMBRUNO, Giovanni, Dept. of Quant. Meth. for Econ., Univ. of Studies of Milan, Italy

REPRESENTATIVE PAPERS

Computer Science

1. Gambarelli, G. (1979) "Una proposta di standardizzazione per programmi scritti in linguaggio ASSEMBLER" ("A Standardization for ASSEMBLER Programs") Informatica 70, 7, 73, 45-52.
2. Gambarelli, G. (1990) "Una nuova Matematica per una nuova Informatica" ("New Mathematics for New Computer Science") Annali della Pubblica Istruzione, Le Monnier, Firenze, 36, 4, 367-373.
   Gambarelli, G. (1997) "Matematica per l’uomo nell’età del software" ("Mathematics for Man in the Software Age") Attività algoritmiche e pensiero didattico nell’insegnamento della Matematica, Atti del Congresso Nazionale Mathesis, Caserta, 85-93.
   See also book n. 1.

Decision Theory

1. Bertini, C., G. Gambarelli and A. Uristani (2010) "Indices of Collusion among Judges and an Anti-collusion Average" S. Greco, R. Marques Pereira, M. Squillante, R.R. Yager, J. Kacprzyk (eds), Preferences and decisions: models and applications, in Studies in Fuzziness and Soft Computing, Springer Verlag, pp 195-210. ISBN 978-3-642-15975-6, e-ISBN 978-3-642-15976-3, ISSN 1434-9922 DOI 10.1007/978-3-642-15976-3

Game Theory - Algorithms

1. Gambarelli, G. (1980) "Algorithm for the numerical computation of the Shapley value of a game" Rivista di Statistica Apllicata, 13, 1, 35-41.
2. Gambarelli, G. (1981) "Algorithm for automatic generation of the winning coalitions in weighted majority games" Quaderni del Dipartimento di Matematica, Statistica, Informatica ed Applicazioni, Istituto Universitario di Bergamo, 1, 1-21.
3. Arcaini, G. and G. Gambarelli (1986) "Algorithm for automatic computation of the power variations in share tradings" Calcolo, 23, 1, 13-19.
4. Gambarelli, G. (1996) "Takeover Algorithms" Modelling Techniques for Financial Markets and Bank Management: Proceedings of the 16th and 17th Euro Working Group of Financial Modelling Meetings (M. Bertocchi, E. Cavalli and S. Komlosi eds.), Physica Verlag, Heidelberg, 212-222   
   See also:
             Game Theory - Bargaining n. 2
             Game Theory - CooperativeGames n. 1,5.

Game Theory - Bargaining

1. Dragan, I. and G. Gambarelli (1990) "The Compensatory Bargaining Set of a Big Boss Game" Libertas Mathematica, 10, 53-61.
2. Gambarelli, G. (1995) "Survival Game: n-person Bargaining for Controlling Coalition" Control and Cybernetics, 24, 3, 243-256.
   

Game Theory - Cooperative Games

1. Gambarelli, G. and G. Zambruno (1977) "Analitical reformulation of the Shapley value of a game" Proc. of the First Meeting AMASES, Giappichelli, Torino, 197-211.
2. Gambarelli, G. (1977) "Geometrical considerations on the Shapley value of a game" Proc. of the First Meeting AMASES, Giappichelli, Torino, 183-196.
3. Gambarelli, G. and G.P. Szego (1982) "Discontinuous solutions in n-person games" New Quantitative Techniques for Economic Analysis (G.P. Szego ed.), Academic Press, New York, 229-244.
4. Gambarelli, G. (1983) "Common behaviour of power indices" International Journal of Game Theory, 12, 4, 237-244.
5. Gambarelli, G. (1990) "A new approach for evaluating the Shapley value" Optimization 21, 3, 445-452.
6. Gambarelli, G. and J. Holubiec (1994) "Power Indices" Proc. of the Italian-Polish-Finnish Symposium on Systems Analysis and Decision Support Systems in Economics and Technology, (R. Kulikowski, K. Szatula, J. Kacprzyk eds.), Omnitech Press, Warsaw, 100-106.
7. Freixas, J. and G. Gambarelli (1997) "Common properties among power indices" Control and Cybernetics, 26, 4, 591-603.
8. Gambarelli, G. (2007) "Transforming Games fromCharacteristic intoNormalForm" International Game Theory Review, Special Issue devoted to Logic, Game Theory and Social Choice (S. Vannucci and A. Ursini, eds.) Vol. 9, Number 1, 87-104. ISSN:0219-1989
9. Bertini, C,G. Gambarelli and I. Stach(2008) "A public Help Index" Power, Freedom, and Voting (Mattew Braham and Frank Steffen eds.). Springer, Berlin-Haidelberg, 83-98. ISBN 978-3-540-73381-2 e-ISBN 978-3-540-73382-9, DOI 10.1007/978-3-540-73382-9.
   See also:
             Game Theory - Algorithms
             Game Theory - Bargaining
             Game Theory – International Economics
             Game Theory - Political Application
             Game Theory - Financial Application
             Game Theory - Political and Financial Applications
             Scientific Books (editor) n. 2
             Textbooks n. 2, 3

Game Theory - Financial Applications

1. Gambarelli, G. (1982) "Portfolio Selection and Firms' Control" Finance, 3, 1, 69-83.
2. Gambarelli, G. (1982) "The control quota component in the price of shares" Rivista di Matematica per le Scienze Economiche e Sociali, 5, 1, 53-63.
3. Gambarelli, G. (1993) "An Index of Stability for Controlling Shareholders" Modelling Reality and Personal Modelling (R. Flavell ed.), Physica-Verlag, Heidelberg, 116-127.
4. Gambarelli, G. and G. Owen (1994) "Indirect Control of Corporations", International Journal of Game Theory, 23, 4, 287-302.
5. Gambarelli, G e S. Pesce (2004) “Takeover Prices and Portfolio Theory” Essays on Cooperative Games – in honor of Guillermo Owen (G. Gambarelli, ed.), Special Issue of Theory and Decision, Vol. 36, Kluwer Academic Publishers, Dordrecht, 193-203. ISSN: 88-87445-49-4
   See also:
             Game Theory - Political and Financial Applications

Game Theory - History

1. Gambarelli, G. and G. Owen (1994) "50 Years of Game Theory" Journal of European Business Education, 4, 1, 30-45.
2. Gambarelli G. and G. Owen (2004) “The Coming of Game Theory” Essays on Cooperative Games – in honour of Guillermo Owen (G. Gambarelli ed.). Special Issue of Theory and Decision, Vol. 36, Kluwer Academic Publishers, Dordrecht, 1-18. ISSN: 0040-5833.
   See also Scientific Books (author) n. 6

Game Theory - International Economics

1. Gambarelli G., J. Holubiec and J. Kacprzyk (1988) "Modeling and Optimization of International Economic Cooperation via Fuzzy Mathematical Programming and Cooperative Games" Control and Cybernetics, 17, 4, 325-335.
2. Gambarelli, G. (1992) "Strategics for the Repayment of External Debt" Proceedings of the International Conference on Information and Systems, Dalian, China (Zhang Shengkai and Zou Kaiqi eds.), Dalian Maritime University Publishing House, 566-573.
3. Gambarelli, G. and J. Holubiec (1993) "A New Approach to East-West International Economic Cooperation" AMSE-Modelling, Measurement and Control, D, AMSE Press, 8, 2, 49-56.
4. Gambarelli, G. and P. Piana (1997) "The Gulf War Economic Game" Control and Cybernetics, 26, 2, 207-214.

Game Theory - Political Applications

1. Gambarelli, G. (1981) "Evaluation of political elections in Europe by the Shapley value of a game" Mathematical Programming and its Economic Applications, (G. Castellani and P. Mazzoleni eds.), Angeli, Milano, 687-698.
2. Gambarelli, G. and J. Holubiec (1990) "Power Indices and Democratic Apportionments" Proceedings of the 8th Italian-Polish Symposium on Systems Analysis and Decision Support in Economics and Technology (M. Fedrizzi and J. Kacprzyk eds.), Onnitech Press, Warsaw, Poland, 240-255.
3. Gambarelli, G. (1996) "Sistemas electorales y procesamiento de datos" in Spanish ("Electoral Systems and Data Processing") Presented at Congreso Iberoamericano de Informatica y Derecho organizado por el Ministerio de Justicia de la Nacion Argentina, Bariloche, 15-20 Mayo.
4. Gambarelli, G. and S. Greco (1998) "I giochi della politica italiana" ("Italian Political Games") Ricerca 10/11, 6-9.
Gambarelli, G. and S. Greco (1999) "Sistemi elettorali e Teoria dei Giochi" (“Electoral Systems and Game Theory”) Periodico di Matematiche VII, 6, 1, 11-19. ISSN: 0391-2094.
6. Gambarelli, G. (1999) "Minimax Apportionments" Group Decision and Negotiation, 8, 6, 441-461 ISSN: 0926-2644 or (2003) In Kacprzyk, J. and Wagner, D. (eds.), Group Decisions and Voting, Systems Research Institute, Polish Academy of Sciences, Warszawa, pp. 9-30.
7. Bertini, C, Gambarelli G. and I. Stach (2005) “Apportionment Strategies for the European Parliament” Power Measures III, a Special Issue of Homo Oeconomicus (G. Gambarelli and M. Holler, eds), 22(4), Accedo Verlagsgesellschaft, München, pp. 589-604. ISBN:3-89265-060-8.
8. Gambarelli, G. and A. Palestini (2008) "Minimax Multi-district Apportionments"; Power Measures IV, a Special Issue of Homo Oeconomicus (G. Gambarelli eds), Accedo Verlag, München. ISBN: 978-3-89265-066-9.
9. Gambarelli, G. and A. Uristani (2009)"Multicameral Voting Cohesion Games"; Central European Journal of Operations Research, *Volume 17, Issue 4, pages 433-460*,
   http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10100-009-0102-6&sa_campaign=Email/ACE/Paginated ISSN: 1435-246X, doi: 10.1007/s10100-009-0102-6.
10. Gambarelli, G. and I. Stach (2009) "Power Indices in Politics; Some Results and Open Problems”; Essays in Honor of Hannu Nurmi, Homo Oeconomicus 26(3/4): 417–441. ISBN 978-3-89265-072-0. ISSN 0943-0180.

See also:
          Game Theory - Political and Financial Applications

Game Theory - Political and Financial Applications

1. Gambarelli, G. (1991) "Political and Financial Applications of the Power Indices" Decision Processes in Economics (G. Ricci ed.), Springer-Verlag, Berlin -Heidelberg, 84-106.
2. Gambarelli, G. (1994) "Power Indices for Political and Financial Decision Making", Annals of O.R. 51, (Proc. of IFAC Workshop on Support Systems for Decision and Negotiation Processes, Warsaw, Poland), 165-173.
3. Gambarelli G. and G. Owen (2002) "Power in Political and in Businness Structures", in: M.J. Holler, H. Kliemt, D. Schnidtchen and M.E.Streit, Power and Fairness (Jahrbuch für Neue Politische Ökonomie, Vol. 20), Tübingen: Mohr Siebeck, 57-68. ISSN: 0722-5369
   See also:
             Game Theory - Algorithms n. 2,3,4
             Game Theory - Bargaining n. 2
             Game Theory - Cooperative Games n. 3,4,6.
             Game Theory - Political Applications
             Game Theory - Financial Applications

Geometry - Affine Spaces

1. Gambarelli, G. (1989) "Due proprietà dei baricentri" ("Two Properties of the Barycentres") Periodico di Matematiche, 6, 65, 4, 49-54.
   See also:
         Game Theory - Cooperative Games n. 2,5.

Geometry - Integer Programming

1. Gambarelli, G. (1986) "Transformations and consecutivities on a ring for computational applications" Optimization, 775-783.
2. Gambarelli, G. (1987) "Classes of Rational Polyhedra" Control and Cybernetics, 2, 16, 123-128.
   See also Scientific Books (author) n. 3, 5

Mathematics - Didactics

1. Gambarelli, G. (1982) "Invito alla Logica Matematica" ("An Invitation to Mathematical Logics") Atti del Convegno AMASES Didattica 82, Lignano, 219-240.
2. Gambarelli, G. (1991) "Controriforma della Matematica" ("Counter-Reformation of the Mathematics") La matematica e la sua didattica, 5, 4, 52-54.
3. Gambarelli, G. (2002) “John Nash dal Nobel all’Oscar” (“John Nash from Nobel to Oscar”) Didattica delle Scienze, 219, 43-45. ISSN: 1593-537X.
4. Gambarelli, G.(2006) “Matematica e Università : problemi all’ingresso” ("Mathematics and University: Problems in Entry") Atti del Convegno Nel ricordo di Livia: l’insegnamento della Matematica negli ultimidecenni e sue prospettive. Fondazione Livia Tonolini, Treviglio, 24 febbraio, 98-104.
   
   See also Textbooks n. 2, 3, 4

Mathematics - Finance

1. Gambarelli, G. (1985) "Sulla scelta fra investimenti a premio e in contanti" ("On the Choice between Premium and Cash Investments") Rendiconti del comitato per gli studi e la programmazione economica, 23, Alceo, Padova 97-106.
2. Gambarelli, G. (1985) "Sulla periodicità ottima dei prelievi" ("On the Optimal Drawing Intervals") Il Risparmio, 33, 5, 521-529.

Mathematics - History

1. Gambarelli, G. (2001) "Una panoramica sulle ricerche in corso nel Dipartimento di Matematica, Statistica, Informatica e Applicazioni dell'Università degli Studi di Bergamo" (Some Recent Researchs carried out at the Department of Mathematics, Statistics, Computer Science and Applicatione of the University of Bergamo), Edizioni dell'Ateneo (G. Gambarelli ed.), Bergamo, 19-28.
2. Gambarelli, G. (2002) “John Nash dal Nobel all’Oscar” Didattica delle Scienze, 219, 43-45. ISSN: 1593-537X.
3. Gambarelli, G. and F. Rossetti (2004) "Sulle opere matematiche minori di Lorenzo Mascheroni" ("On the minor mathematical works of Lorenzo Mascheroni") Lorenzo Mascheroni - Scienza e letteratura nell’età dei Lumi. Bergamo University Press, Edizioni Sestante (Matilde Dillon Wanke e Duccio Tongiorgi eds.) Bergamo, 49-55. ISBN: 88-87445-49-4
   See also:
             Game Theory - History
             Computer Science n 2,3.
             Scientific Books (editor) n. 1
   

Sport Sciences

1. Gambarelli, G. (2008) "The Coherent Majority Average for Juries' Evaluation Processes" Journal of Sport Sciences, Volume 26, Issue 10 August 2008, ISSN: 0264-0414, http://dx.doi.org/10.1080/02640410801930135 , pages 1091 - 1095.  
2. Gambarelli, G., G. Iaquinta and M. Piazza (2012) "Anti-collusion indices and averages for the evaluation of performances and judges". Journal of Sport Sciences, Vol 30, (4), pp. 411-417, ISSN 0264-0414 print / ISSN 1466-447X online. DOI: 10.1080/02640414.2011.651153. http://dx.doi.org/10.1080/02640414.2011.651153  
   See also:
              Decision Theory
   

Transportation Theory

1. Bonati, G. , G. Gambarelli and S. Stefani (1985) "Users modal split for a transportation network with one origin and one destination" Ricerca Operativa, 15, 33, 73-89.
   See also: Textbooks n.2
   

BOOKS

LITERARY BOOKS (author)

1. Gambarelli, G. (2001) Stagioni (Seasons) Gruppo artistico Fara, Bergamo, 36 pages.
2. Gambarelli, G. (2003) Raìs (Radici - poesie in bergamasco) (Roots - poetries in Bergamo dialect) Grafica & Arte, Bergamo, ISBN 88-7201-235-X, 32 pages.
3. Gambarelli, G. (2005) Anche i matematici hanno un'anima? (Do Mathematicians have souls too ?), VII ed. Campanotto, Pasian di Prato (UD), in three little books: vol. I Stagioni (Seasons), ISBN 66-456-0660-0, 96 pages; vol. II Seriosità (Prose works), ISBN 88-456-0701-1, 60 pages; vol. III , Scherzi (Jokes), ISBN 88-456-0702-X, 74 pages.

Moreover, some works won literary prizes and are quoted in various anthologies.

LITERARY BOOKS (editor)

1. Gambarelli, G. (editor) (1999) Itinerari dannunziani (Dannuntian Routes) Edizioni dell'Ateneo, Bergamo, 134 pages.
2. Gambarelli, G. (2005) Bergamo nella letteratura europea (Bergamo in European Literature), Bergamo University Press, Bergamo, ISBN 88-87445-96-6, 215 pages.

TEXTBOOKS

1. Gambarelli, G. and A. Resti. (1991) Introduzione all'informatica per managers (An Introduction to Computer Science for Managers) Angeli, Milano, ISBN 88-204-6713-5, 387 pages.
2. Gambarelli, G. and G. Pederzoli (1992) Metodi di decisione (Methods of Decision Making) Hoepli, Milano, ISBN 88-203-1973-X, 305 pages.
3. Gambarelli, G. (2003) Giochi competitivi e cooperativi (Competitive and Cooperative Games) 2nd edition Giappichelli, Torino (II ed. Giappichelli, Torino), ISBN 88-348-3378-3, 150 pages.
4. Gambarelli, G. and S. Mercanti, tables by Bruno Bozzetto (2005) Matematica Indolore (Painless Mathematics), ed. Giappichelli, Torino, ISBN 88-348-5351-2, 500 pages.

HANDBOOKS

1. Gambarelli, G. (2009) La tesi scientifica di laurea e dottorato, II ed., EDISES, Napoli, ISBN 978-88-7959-486-8, 115 pages.
2. Gambarelli, G. (2009) La scalata accademica, EDISES Napoli, ISBN 978-88-7959-463-9, 99 pages.
3. Gambarelli, G. and Z. Lucki (2011) Praca dyplomowa, IV ed., Wydawnictwa AGH, Krakow, ISBN 978-83-7464-375-7, 145 pages.
4. Gambarelli, G. and Z. Lucki (2011) Wspinaczka po profesur?. Przewodnik satelitarny po karierze akademickiej - od upadków na kolana i ciosów w plecy do zaszczytów, I ed., CeDeWu, Warszawa, ISBN 978-83-7556-401-3, 140 pages.

SCIENTIFIC BOOKS (editor)

1. Gambarelli, G. (editor) (2001) La Matematica e le sue applicazioni (Mathematics and Applications) Edizioni dell'Ateneo, Bergamo, ISSN 1724-2347, 96 pages.
2. Gambarelli, G. (editor) (2004) Essays on Cooperative Games – in honor of Guillermo Owen, Special Issue of Theory and Decision, Series C, Vol. 36, Kluwer Academic Publishers, Dordrecht, ISBN 1-4020-2935-7 (HB), 1-4020-2936-5 (e-book), 240 pages.
3. Gambarelli, G. and Holler, M. (editors) (2005) Power Measures III, Special Issue of Homo Oeconomicus , Vol. 22 N. 4, Accedo Verlagsgesellschaft, München, ISBN 3-89265-060-8, ISSN 0943-0180, 210 pages.
4. Gambarelli, G. (editor) (2008) Power Measures IV, Special Issue of Homo Oeconomicus, Accedo Verlag, München. ISBN: 978-3-89265-066-9.
5. Gambarelli G., J. Mercik, D. Ramsey and A. Rusinowska (editors.) (2009) Operations Research and Decisions (special issue devoted to Game Theory), Issue 2, ISSN 1230-1868, Oficyna Wydawnicza Politechniki Wroclawskiej, 104 pages.
   

1. Gambarelli, G. (conceiver) (2006) Cartellopoli: La Giungla di Latta ("Sign-polis: the tin jungle"). Scenario by Barbara Aguzzi, Andrea Bozzetto, Bruno Bozzetto and Gianfranco Gambarelli; animation by Andrea Bozzetto; musics and sound effects by Maurizio Malagnini; direction by Bruno Bozzetto. Copyright Automobile Club Bergamo.

1. Gambarelli, G. (2011). “Banzhaf Value” Encyclopedia of Power (Keith Dowding ed.). SAGE, Los Angeles, p. 53-54, ISBN 978-1-4129-2748-2.
   
2. Gambarelli, G. (2011). “Pivot Player”. Encyclopedia of Power (Keith Dowding ed.). SAGE, Los Angeles, p. 479-480, ISBN 978-1-4129-2748-2.
   
3. Gambarelli, G. (2011). “Value of a Game”. Encyclopedia of Power (Keith Dowding ed.). SAGE, Los Angeles, p. 683-684, ISBN 978-1-4129-2748-2.
   
4. Gambarelli, G. (2011). “Weighted Majority Game”. Encyclopedia of Power (Keith Dowding ed.). SAGE, Los Angeles, p. 709-710, ISBN 978-1-4129-2748-2.
   
5. Gambarelli, G. and N.R. Miller (2011). “Simple Games”. Encyclopedia of Power (Keith Dowding ed.). SAGE, Los Angeles, p. 607-608, ISBN 978-1-4129-2748-2.