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## Topkis, Donald M.

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 Author ID: topkis.donald-m Published as: Topkis, D. M.; Topkis, Donald M. External Links: MGP
 Documents Indexed: 19 Publications since 1967

#### Co-Authors

 15 single-authored 1 Bixby, Robert E. 1 Cunningham, William H. 1 Segal, Moshe 1 Stern, Michael H. 1 Veinott, Arthur F. jun.
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#### Serials

 4 Operations Research 2 Networks 2 European Journal of Operational Research 1 Discrete Applied Mathematics 1 IEEE Transactions on Communications 1 Journal of Applied Probability 1 Journal of Economic Theory 1 Mathematics of Operations Research 1 Mathematical Programming 1 Pacific Journal of Mathematics 1 SIAM Journal on Control and Optimization 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Control
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#### Fields

 12 Operations research, mathematical programming (90-XX) 4 Combinatorics (05-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Convex and discrete geometry (52-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

15 Publications have been cited 487 times in 417 Documents Cited by Year
Minimizing a submodular function on a lattice. Zbl 0379.90089
Topkis, Donald M.
1978
Equilibrium points in nonzero-sum $$n$$-person submodular games. Zbl 0433.90091
Topkis, Donald M.
1979
On the convergence of some feasible direction algorithms for nonlinear programming. Zbl 0158.18805
Topkis, D. M.; Veinott, Arthur F. jun.
1967
Cutting-plane methods without nested constraint sets. Zbl 0205.21903
Topkis, D. M.
1970
The partial order of a polymatroid extreme point. Zbl 0576.90070
Bixby, R. E.; Cunningham, W. H.; Topkis, D. M.
1985
A note on cutting-plane methods without nested constraint sets. Zbl 0229.90043
Topkis, Donald M.
1970
Activity selection games and the minimum-cut problem. Zbl 0504.90092
Topkis, Donald M.
1983
The structure of sublattices of the product of n lattices. Zbl 0333.06002
Topkis, Donald M.
1976
Rates of stability in nonlinear programming. Zbl 0352.90062
Stern, Michael H.; Topkis, Donald M.
1976
Topkis, Donald M.
1984
Comparative statics of the firm. Zbl 0840.90015
Topkis, Donald M.
1995
Reordering heuristics for routing in communications networks. Zbl 0591.60088
Topkis, Donald M.
1986
A k shortest path algorithm for adaptive routing in communications networks. Zbl 0654.90021
Topkis, Donald M.
1988
Activity optimization games with complementarity. Zbl 0623.90095
Topkis, Donald M.
1987
Complements and substitutes among locations in the two-stage transshipment problem. Zbl 0526.90037
Topkis, Donald M.
1984
Comparative statics of the firm. Zbl 0840.90015
Topkis, Donald M.
1995
A k shortest path algorithm for adaptive routing in communications networks. Zbl 0654.90021
Topkis, Donald M.
1988
Activity optimization games with complementarity. Zbl 0623.90095
Topkis, Donald M.
1987
Reordering heuristics for routing in communications networks. Zbl 0591.60088
Topkis, Donald M.
1986
The partial order of a polymatroid extreme point. Zbl 0576.90070
Bixby, R. E.; Cunningham, W. H.; Topkis, D. M.
1985
Topkis, Donald M.
1984
Complements and substitutes among locations in the two-stage transshipment problem. Zbl 0526.90037
Topkis, Donald M.
1984
Activity selection games and the minimum-cut problem. Zbl 0504.90092
Topkis, Donald M.
1983
Equilibrium points in nonzero-sum $$n$$-person submodular games. Zbl 0433.90091
Topkis, Donald M.
1979
Minimizing a submodular function on a lattice. Zbl 0379.90089
Topkis, Donald M.
1978
The structure of sublattices of the product of n lattices. Zbl 0333.06002
Topkis, Donald M.
1976
Rates of stability in nonlinear programming. Zbl 0352.90062
Stern, Michael H.; Topkis, Donald M.
1976
Cutting-plane methods without nested constraint sets. Zbl 0205.21903
Topkis, D. M.
1970
A note on cutting-plane methods without nested constraint sets. Zbl 0229.90043
Topkis, Donald M.
1970
On the convergence of some feasible direction algorithms for nonlinear programming. Zbl 0158.18805
Topkis, D. M.; Veinott, Arthur F. jun.
1967
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#### Cited by 554 Authors

 16 Amir, Rabah 15 Balbus, Łukasz 11 Nowak, Andrzej S. 10 Jian, Jinbao 10 Kukushkin, Nikolaĭ Serafimovich 10 Reffett, Kevin L. 9 Woźny, Łukasz 8 Jaśkiewicz, Anna 7 Echenique, Federico 7 Fujishige, Satoru 6 Kostreva, Michael M. 6 Sabarwal, Tarun 6 Tang, Chunming 5 Hu, Qingjie 5 Roy, Santanu 5 Tardella, Fabio 4 Polak, Elijah (Lucien) 4 Queyranne, Maurice 4 Topkis, Donald M. 4 Zheng, Haiyan 3 Altman, Eitan 3 Chen, Xibin 3 Couceiro, Miguel 3 Cunningham, William H. 3 de Castro, Luciano I. 3 Ferrari, Giorgio 3 Fiacco, Anthony V. 3 Garcia, Filomena 3 Goldberg, Leslie Ann 3 Heikkilä, Seppo V. 3 Kim, Eungab 3 Knauff, Małgorzata 3 McCormick, S. Thomas 3 Meyer, Gerard G. L. 3 Murota, Kazuo 3 Németh, Sándor Zoltán 3 Olson, Lars J. 3 Rosenthal, Edward C. 3 Roy, Sunanda 3 Solal, Philippe 3 Stidham, Shaler jun. 3 Weber, Richard Robert 3 Zhu, Zhibin 2 Akan, Mustafa 2 Amir, Ruzaini 2 Barthel, Anne-Christine 2 Batson, Robert G. 2 Bazaraa, Mokhtar S. 2 Béal, Sylvain 2 Benzing, Harald 2 Berger, Ulrich 2 Bulatov, Andrei A. 2 Cao, Zhigang 2 Carlier, Guillaume 2 Ceparano, Maria Carmela 2 Chen, Hong 2 Datta, Manjira 2 Dempe, Stephan 2 Driessen, Theo S. H. 2 Dziewulski, Paweł 2 Edlin, Aaron S. 2 Elhafsi, Mohsen 2 Flores-Hernández, Rosa María 2 Garcia, Alfredo Daniel 2 Grilo, Isabel 2 Harks, Tobias 2 Haviv, Moshe 2 Hennessy, David A. 2 Hohjo, Hitoshi 2 Horst, Reiner 2 Huh, Woonghee Tim 2 Iwata, Satoru 2 Jerrum, Mark R. 2 Joshi, Sumit 2 Kamihigashi, Takashi 2 Kapur, Kailash C. 2 Kelly, David L. 2 Klimm, Max 2 Kolonko, Michael 2 Korycki, Jacek 2 Kyparisis, Jerzy 2 Li, Michael Z. F. 2 Marichal, Jean-Luc 2 Mcquillan, Colin 2 Mesiar, Radko 2 Meyer, Robert R. 2 Mifflin, Robert 2 Montes-de-Oca, Raúl 2 Nadar, Emre 2 Németh, Alexandre B. 2 Nguyen van Thoai 2 Plastria, Frank 2 Qi, Xiangtong 2 Qin, Chengzhong 2 Quartieri, Federico 2 Rafels, Carles 2 Ravner, Liron 2 Reynolds, Stanley S. 2 Richerby, David M. 2 Riedel, Frank ...and 454 more Authors
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#### Cited in 102 Serials

 37 Journal of Economic Theory 32 Games and Economic Behavior 24 Journal of Optimization Theory and Applications 23 Journal of Mathematical Economics 22 Economic Theory 21 European Journal of Operational Research 15 Mathematical Programming. Series A. Series B 12 International Journal of Game Theory 11 Journal of Mathematical Analysis and Applications 11 Mathematical Programming 11 Annals of Operations Research 10 Applied Mathematics and Computation 10 Mathematical Social Sciences 8 Discrete Applied Mathematics 7 Mathematical Methods of Operations Research 6 Optimization 5 Journal of Computer and System Sciences 5 Queueing Systems 4 Computers & Mathematics with Applications 4 Applied Mathematics and Optimization 4 Operations Research Letters 4 Journal of Economic Dynamics & Control 4 Linear Algebra and its Applications 4 International Game Theory Review 4 Dynamic Games and Applications 3 Automatica 3 Fuzzy Sets and Systems 3 Journal of Computational and Applied Mathematics 3 Naval Research Logistics 3 Operations Research 3 Theoretical Computer Science 3 Insurance Mathematics & Economics 3 Mathematical and Computer Modelling 3 Economics Letters 3 Journal of Global Optimization 3 Probability in the Engineering and Informational Sciences 3 Discrete Optimization 2 Artificial Intelligence 2 Journal of Combinatorial Theory. Series B 2 Journal of Multivariate Analysis 2 Kybernetika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 OR Spektrum 2 Statistics & Probability Letters 2 Combinatorica 2 Order 2 Trabajos de Investigacion Operativa 2 Applied Mathematical Modelling 2 Review of Economic Design 2 Games 1 Advances in Applied Probability 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Information Processing Letters 1 Journal of the Mechanics and Physics of Solids 1 Metrika 1 Problems of Information Transmission 1 Annals of the Institute of Statistical Mathematics 1 Econometrica 1 Information Sciences 1 Journal of Econometrics 1 Journal of Environmental Economics and Management 1 Journal of Soviet Mathematics 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Theory and Decision 1 Cybernetics 1 International Journal of Production Research 1 Journal of Economics 1 Discrete & Computational Geometry 1 Computers & Operations Research 1 Asia-Pacific Journal of Operational Research 1 Journal of Theoretical Probability 1 SIAM Journal on Discrete Mathematics 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 Aequationes Mathematicae 1 Automation and Remote Control 1 Zeitschrift für Operations Research. Serie A: Theorie 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Formal Methods in System Design 1 Top 1 ZOR. Mathematical Methods of Operations Research 1 Mathematical Problems in Engineering 1 Finance and Stochastics 1 Soft Computing 1 Annals of Combinatorics 1 International Journal of Applied Mathematics and Computer Science 1 RAIRO. Operations Research 1 Applied Stochastic Models in Business and Industry 1 Journal of Systems Science and Complexity 1 Decisions in Economics and Finance 1 Networks and Spatial Economics 1 The B. E. Journal of Theoretical Economics 1 Financial Engineering and the Japanese Markets 1 Axioms ...and 2 more Serials
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#### Cited in 32 Fields

 229 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 189 Operations research, mathematical programming (90-XX) 41 Numerical analysis (65-XX) 29 Probability theory and stochastic processes (60-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 21 Computer science (68-XX) 17 Combinatorics (05-XX) 15 Convex and discrete geometry (52-XX) 15 Systems theory; control (93-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 10 Statistics (62-XX) 5 Real functions (26-XX) 5 Measure and integration (28-XX) 5 Information and communication theory, circuits (94-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 General topology (54-XX) 3 General algebraic systems (08-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)