Edit Profile Topkis, Donald M. Compute Distance To: Compute 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0379.90089Topkis, Donald M. 218 1978 Equilibrium points in nonzero-sum \(n\)-person submodular games. Zbl 0433.90091Topkis, Donald M. 122 1979 On the convergence of some feasible direction algorithms for nonlinear programming. Zbl 0158.18805Topkis, D. M.; Veinott, Arthur F. jun. 52 1967 Cutting-plane methods without nested constraint sets. Zbl 0205.21903Topkis, D. M. 23 1970 The partial order of a polymatroid extreme point. Zbl 0576.90070Bixby, R. E.; Cunningham, W. H.; Topkis, D. M. 18 1985 A note on cutting-plane methods without nested constraint sets. Zbl 0229.90043Topkis, Donald M. 11 1970 Activity selection games and the minimum-cut problem. Zbl 0504.90092Topkis, Donald M. 8 1983 The structure of sublattices of the product of n lattices. Zbl 0333.06002Topkis, Donald M. 8 1976 Rates of stability in nonlinear programming. Zbl 0352.90062Stern, Michael H.; Topkis, Donald M. 7 1976 Adjacency on polymatroids. Zbl 0544.90077Topkis, Donald M. 6 1984 Comparative statics of the firm. Zbl 0840.90015Topkis, Donald M. 4 1995 Reordering heuristics for routing in communications networks. Zbl 0591.60088Topkis, Donald M. 4 1986 A k shortest path algorithm for adaptive routing in communications networks. Zbl 0654.90021Topkis, Donald M. 3 1988 Activity optimization games with complementarity. Zbl 0623.90095Topkis, Donald M. 2 1987 Complements and substitutes among locations in the two-stage transshipment problem. Zbl 0526.90037Topkis, Donald M. 1 1984 Comparative statics of the firm. Zbl 0840.90015Topkis, Donald M. 4 1995 A k shortest path algorithm for adaptive routing in communications networks. Zbl 0654.90021Topkis, Donald M. 3 1988 Activity optimization games with complementarity. Zbl 0623.90095Topkis, Donald M. 2 1987 Reordering heuristics for routing in communications networks. Zbl 0591.60088Topkis, Donald M. 4 1986 The partial order of a polymatroid extreme point. Zbl 0576.90070Bixby, R. E.; Cunningham, W. H.; Topkis, D. M. 18 1985 Adjacency on polymatroids. Zbl 0544.90077Topkis, Donald M. 6 1984 Complements and substitutes among locations in the two-stage transshipment problem. Zbl 0526.90037Topkis, Donald M. 1 1984 Activity selection games and the minimum-cut problem. Zbl 0504.90092Topkis, Donald M. 8 1983 Equilibrium points in nonzero-sum \(n\)-person submodular games. Zbl 0433.90091Topkis, Donald M. 122 1979 Minimizing a submodular function on a lattice. Zbl 0379.90089Topkis, Donald M. 218 1978 The structure of sublattices of the product of n lattices. Zbl 0333.06002Topkis, Donald M. 8 1976 Rates of stability in nonlinear programming. Zbl 0352.90062Stern, Michael H.; Topkis, Donald M. 7 1976 Cutting-plane methods without nested constraint sets. Zbl 0205.21903Topkis, D. M. 23 1970 A note on cutting-plane methods without nested constraint sets. Zbl 0229.90043Topkis, Donald M. 11 1970 On the convergence of some feasible direction algorithms for nonlinear programming. Zbl 0158.18805Topkis, D. M.; Veinott, Arthur F. jun. 52 1967 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year