# zbMATH — the first resource for mathematics

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 Documents Indexed: 51 Publications since 1976 Reviewing Activity: 172 Reviews
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#### Co-Authors

 18 single-authored 7 Driessen, Theo S. H. 7 Nowak, Andrzej S. 7 Orłowski, K. 4 Połowczuk, Wojciech 4 Wiȩcek, Piotr 3 Szajowski, Krzysztof J. 1 Engel, Konrad 1 Goldman, Alan J. 1 Ravindran, Gomatam 1 Schlage-Puchta, Jan-Christoph 1 Wieczorek, Andrzej
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#### Serials

 7 International Journal of Game Theory 5 Zastosowania Matematyki 5 Optimization 5 Applicationes Mathematicae 4 Mathematical Methods of Operations Research 3 Games and Economic Behavior 2 Journal of Optimization Theory and Applications 2 Sankhyā. Series A. Methods and Techniques 2 Mathematical Social Sciences 2 European Journal of Operational Research 1 Mathematica Japonica 1 Mathematische Operationsforschung und Statistik. Series Optimization 1 Pure & Applied Mathematika Sciences 1 European Journal of Combinatorics 1 Sequential Analysis 1 International Transactions in Operational Research 1 International Journal of Mathematics, Game Theory and Algebra 1 International Game Theory Review 1 Mathematica Applicanda
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#### Fields

 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 183 times in 127 Documents Cited by Year
A solidarity value for $$n$$-person transferable utility games. Zbl 0805.90125
1994
On axiomatizations of the weighted Shapley values. Zbl 0836.90148
Nowak, A. S.; Radzik, T.
1995
On a family of values for TU-games generalizing the Shapley value. Zbl 1258.91025
2013
The Shapley value for $$n$$-person games in generalized characteristic function form. Zbl 0804.90147
1994
Modeling values for TU-games using generalized versions of consistency, standardness and the null player property. Zbl 1414.91032
2016
An alternative characterization of the weighted Banzhaf value. Zbl 0960.91013
2000
A weighted pseudo-potential approach to values for TU-games. Zbl 1037.91005
2002
Saddle point theorems. Zbl 0734.90123
1991
Pure-strategy $$\varepsilon$$-Nash equilibrium in two-person non-zero-sum games. Zbl 0755.90092
1991
Games of timing with resources of mixed type. Zbl 0628.90099
1988
On two counter-examples of non-cooperative games without Nash equilibrium. Zbl 0703.90102
Radzik, T.; Ravindran, G.
1989
Is the solidarity value close to the equal split value? Zbl 1262.91032
2013
Extensions of Hart and Mas-Colell’s consistency to efficient, linear, and symmetric values for TU-games. Zbl 1129.91303
2003
Characterization of optimal strategies in matrix games with convexity properties. Zbl 1053.91005
2000
On convex combinations of two values. Zbl 0859.90137
Nowak, A. S.; Radzik, T.
1996
Nash equilibria of discontinuous non-zero-sum two-person games. Zbl 0799.90129
1993
A new look at the role of players’ weights in the weighted Shapley value. Zbl 1292.91022
2012
Sequential games with random priority. Zbl 0745.62080
Radzik, T.; Szajowski, K.
1990
Discrete silent duels with complete counteraction. Zbl 0571.90100
Orłowski, K.; Radzik, T.
1985
A k-noisy, n-silent vs. one-noisy duel with equal accuracy functions. Zbl 0368.90135
Orlowski, K.; Radzik, T.
1976
Optimal integer partitions. Zbl 1284.05028
2014
On the existence of almost-pure-strategy Nash equilibrium in $$n$$-person finite games. Zbl 1152.91327
2007
On a new solution concept for bargaining problems. Zbl 1050.91501
1998
Weighted Banzhaf values. Zbl 0880.90146
Radzik, Tadeusz; Nowak, Andrzej S.; Driessen, Theo S. H.
1997
Games of timing related to distribution of resources. Zbl 0628.90098
1988
On some games of timing of mixed type. Zbl 0619.90085
1987
Discrete and nondiscrete duels. Zbl 0528.90095
Radzik, T.; Orlowski, K.
1983
Extensions of Hart and Mas-Colell’s consistency to efficient, linear, and symmetric values for TU-games. Zbl 1022.91003
2002
On problems with information in some games: Modelling the strategies in some dynamic games. Zbl 1003.91014
2001
General noisy duels. Zbl 0744.90120
1991
On weakly correlated and correlated equilibria in discontinuous games. Zbl 0719.90098
Nowak, A. S.; Radzik, T.
1990
A mixed game of timing: Problem of optimality. Zbl 0513.90090
Radzik, T.; Orlowski, K.
1982
A mixed game of timing: Investigation of strategies. Zbl 0513.90089
Radzik, T.; Orlowski, K.
1982
Non-discrete silent duels. Zbl 0497.90084
1982
Modeling values for TU-games using generalized versions of consistency, standardness and the null player property. Zbl 1414.91032
2016
Optimal integer partitions. Zbl 1284.05028
2014
On a family of values for TU-games generalizing the Shapley value. Zbl 1258.91025
2013
Is the solidarity value close to the equal split value? Zbl 1262.91032
2013
A new look at the role of players’ weights in the weighted Shapley value. Zbl 1292.91022
2012
On the existence of almost-pure-strategy Nash equilibrium in $$n$$-person finite games. Zbl 1152.91327
2007
Extensions of Hart and Mas-Colell’s consistency to efficient, linear, and symmetric values for TU-games. Zbl 1129.91303
2003
A weighted pseudo-potential approach to values for TU-games. Zbl 1037.91005
2002
Extensions of Hart and Mas-Colell’s consistency to efficient, linear, and symmetric values for TU-games. Zbl 1022.91003
2002
On problems with information in some games: Modelling the strategies in some dynamic games. Zbl 1003.91014
2001
An alternative characterization of the weighted Banzhaf value. Zbl 0960.91013
2000
Characterization of optimal strategies in matrix games with convexity properties. Zbl 1053.91005
2000
On a new solution concept for bargaining problems. Zbl 1050.91501
1998
Weighted Banzhaf values. Zbl 0880.90146
Radzik, Tadeusz; Nowak, Andrzej S.; Driessen, Theo S. H.
1997
On convex combinations of two values. Zbl 0859.90137
Nowak, A. S.; Radzik, T.
1996
On axiomatizations of the weighted Shapley values. Zbl 0836.90148
Nowak, A. S.; Radzik, T.
1995
A solidarity value for $$n$$-person transferable utility games. Zbl 0805.90125
1994
The Shapley value for $$n$$-person games in generalized characteristic function form. Zbl 0804.90147
1994
Nash equilibria of discontinuous non-zero-sum two-person games. Zbl 0799.90129
1993
Saddle point theorems. Zbl 0734.90123
1991
Pure-strategy $$\varepsilon$$-Nash equilibrium in two-person non-zero-sum games. Zbl 0755.90092
1991
General noisy duels. Zbl 0744.90120
1991
Sequential games with random priority. Zbl 0745.62080
Radzik, T.; Szajowski, K.
1990
On weakly correlated and correlated equilibria in discontinuous games. Zbl 0719.90098
Nowak, A. S.; Radzik, T.
1990
On two counter-examples of non-cooperative games without Nash equilibrium. Zbl 0703.90102
Radzik, T.; Ravindran, G.
1989
Games of timing with resources of mixed type. Zbl 0628.90099
1988
Games of timing related to distribution of resources. Zbl 0628.90098
1988
On some games of timing of mixed type. Zbl 0619.90085
1987
Discrete silent duels with complete counteraction. Zbl 0571.90100
Orłowski, K.; Radzik, T.
1985
Discrete and nondiscrete duels. Zbl 0528.90095
Radzik, T.; Orlowski, K.
1983
A mixed game of timing: Problem of optimality. Zbl 0513.90090
Radzik, T.; Orlowski, K.
1982
A mixed game of timing: Investigation of strategies. Zbl 0513.90089
Radzik, T.; Orlowski, K.
1982
Non-discrete silent duels. Zbl 0497.90084
1982
A k-noisy, n-silent vs. one-noisy duel with equal accuracy functions. Zbl 0368.90135
Orlowski, K.; Radzik, T.
1976
all top 5

#### Cited by 150 Authors

 13 Radzik, Tadeusz 11 Casajus, André 10 Driessen, Theo S. H. 8 Sun, Hao 6 Béal, Sylvain 5 Hou, Dongshuang 5 Kurisu, Tadashi 5 Rémila, Eric 5 Solal, Philippe 4 Barua, Rana 4 Calvo, Emilio 4 Chakravarty, Satya Ranjan 4 Funaki, Yukihiko 4 Xu, Genjiu 4 Yokote, Koji 3 Besner, Manfred 3 Gutiérrez-López, Esther 3 Huettner, Frank 3 Kongo, Takumi 3 Roy, Sonali 3 Sanchez-Sanchez, Francisco 3 Sun, Panfei 2 Amer, Rafael 2 Bergantiños, Gustavo 2 Borkotokey, Surajit 2 Carmona, Guilherme 2 Chameni Nembua, C. 2 del Pozo, Mónica 2 Giménez, José Miguel 2 González-Arangüena, Enrique 2 Hernández-Lamoneda, Luis 2 Hu, Xunfeng 2 Li, Dengfeng 2 Magaña, Antonio 2 Manuel, Conrado Miguel 2 Połowczuk, Wojciech 2 Sánchez, Estela 2 Szajowski, Krzysztof J. 2 Trybuła, Stanisław 2 Van den Brink, René 2 Wiȩcek, Piotr 2 Wiese, Harald 2 Zhang, Qiang 1 Abe, Takaaki 1 Agatsuma, Yasushi 1 Al-Matar, Najeeb 1 Álvarez-Mozos, Mikel 1 Aneja, Yash P. 1 Ben Abdelaziz, Fouad 1 Bertini, Cesarino 1 Billot, Antoine-Bertrand 1 Biswakarma, Rajib 1 Calleja, Pedro 1 Chang, Chih 1 Choudhury, Dhrubajit 1 Conklin, Michael W. 1 Costa, Julián 1 Dai, Han 1 Diffo Lambo, Lawrence 1 Dshalalow, Jewgeni H. 1 Duersch, Peter 1 Echenique, Federico 1 Engel, Konrad 1 Fei, Wei 1 Feng, Yuan 1 Ferrières, Sylvain 1 Freixas, Josep 1 Gambarelli, Gianfranco 1 García-Jurado, Ignacio 1 Gefeller, Olaf 1 Gogoi, Loyimee 1 Gómez-Rúa, María 1 Guan, Fei 1 Gutiérrez, Esther 1 Hellman, Ziv 1 Herings, P. Jean-Jacques 1 Hoede, Cornelis 1 Hu, Chengcheng 1 Ji, Xiaoxian 1 Juárez, Rodrigo 1 Kamijo, Yoshio 1 Kawamori, Tomohiko 1 Kranich, Laurence 1 Krichen, Saoussen 1 Kumar, Rajnish 1 Land, Matthias 1 Lardon, Aymeric 1 Lee, Joosung 1 Lee, Sangmok 1 Li, Hongyi 1 Li, Jinlu 1 Li, Wenzhong 1 Li, Xueliang 1 Lin, Shuanglin 1 Lipovetsky, Stan 1 Liu, Dehai 1 Llerena, Francesc 1 Ma, Beiling 1 Macho-Stadler, Inés 1 Malawski, Marcin ...and 50 more Authors
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#### Cited in 33 Serials

 16 International Journal of Game Theory 13 European Journal of Operational Research 12 Theory and Decision 12 Games and Economic Behavior 11 International Game Theory Review 7 Journal of Optimization Theory and Applications 7 Operations Research Letters 6 Mathematical Methods of Operations Research 5 Optimization 4 Mathematical Social Sciences 4 Social Choice and Welfare 2 Discrete Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Economic Theory 2 Journal of Mathematical Economics 2 Economics Letters 2 Linear Algebra and its Applications 2 Top 1 Discrete Mathematics 1 Journal of Computational and Applied Mathematics 1 OR Spektrum 1 ZOR. Zeitschrift für Operations Research 1 Journal of Mathematical Sciences (New York) 1 Economic Theory 1 Mathematical Problems in Engineering 1 Journal of Combinatorial Optimization 1 Nonlinear Analysis. Real World Applications 1 Journal of Intelligent and Fuzzy Systems 1 Statistical Methods in Medical Research 1 Computational Management Science 1 Journal of Industrial and Management Optimization 1 Advances in Fuzzy Systems 1 Game Theory
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#### Cited in 9 Fields

 120 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Operations research, mathematical programming (90-XX) 3 Probability theory and stochastic processes (60-XX) 2 Combinatorics (05-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Statistics (62-XX)