## Sigmund, Karl

Compute Distance To:
 Author ID: sigmund.karl Published as: Sigmund, Karl; Sigmund, K. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 111 Publications since 1969, including 10 Books 10 Contributions as Editor Co-Authors: 58 Co-Authors with 68 Joint Publications 1,489 Co-Co-Authors
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### Co-Authors

 52 single-authored 15 Schuster, Peter 14 Hofbauer, Josef 10 Nowak, Martin Andreas 7 Wolff, Robert 4 Dawson, John W. jun. 4 Hauert, Christoph 4 Traulsen, Arne 3 Brandt, Hannelore 3 Dieckmann, Ulf 3 Kurzhanskiĭ, Aleksandr Borisovich 3 Michor, Peter Wolfram 2 Aubin, Jean-Pierre 2 Beham, Bernhard 2 Boerlijst, Maarten C. 2 De Silva, Hannelore 2 Hilbe, Christian 2 Hlawka, Edmund 2 Menger, Karl 2 Sigmund, Anna Maria 1 Alt, Franz L. 1 Bauer, Walter 1 Binder, Christa 1 Brännström, Åke 1 Čap, Andreas 1 Debreu, Gérard 1 Demetrius, Lloyd A. 1 Denker, Manfred 1 Diekmann, Odo 1 Dierker, Egbert 1 El-Sedy, Esam. A. S. 1 Engelking, Ryszard 1 Enzensberger, Hans Magnus 1 Feichtinger, Hans Georg 1 Gaunersdorfer, Andrea 1 Golland, Louise Ahrndt 1 Gottlieb, Ramon 1 Grillenberger, Christian 1 Gruber, Peter Manfred 1 Haiden, Nina 1 Hauser, Herwig 1 Helmberg, Gilbert 1 Hildenbrand, Werner 1 Hofstadter, Douglas R. 1 Iwasa, Yoh 1 Jansen, Vincent A. A. 1 Koth, Maria 1 Lamel, Bernhard 1 Lee, Joung Hun 1 Merz, Philip 1 Metz, Johan A. Jacob 1 Mühlberger, Kurt 1 Reich, Ludwig 1 Saari, Donald Gene 1 Sabelis, Maurice W. 1 Sasaki, Tatsuya 1 Schachermayer, Walter 1 Schmetterer, Leopold 1 Schuder, P. 1 Schweizer, Berthold 1 Shigesada, Nanako 1 Sklar, Abe 1 Takeuchi, Yasuhiro 1 Teichmann, Josef 1 Teschl, Gerald 1 Uchida, Satoshi
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### Serials

 9 Internationale Mathematische Nachrichten 8 The Mathematical Intelligencer 5 Theoretical Population Biology 4 Biological Cybernetics 4 Journal of Mathematical Biology 4 Journal of Theoretical Biology 3 Mathematical Biosciences 3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 3 Bulletin of Mathematical Biology 3 Monatshefte für Mathematik 3 Proceedings of the National Academy of Sciences of the United States of America 2 Games and Economic Behavior 2 SIAM Journal on Applied Mathematics 2 Lecture Notes in Economics and Mathematical Systems 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 American Journal of Mathematics 1 Applied Mathematics and Computation 1 Compositio Mathematica 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematical Systems Theory 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Annals of Operations Research 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Complexity 1 Documenta Mathematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Lecture Notes in Mathematics 1 London Mathematical Society Student Texts 1 Proceedings of Symposia in Applied Mathematics 1 Science 1 Dynamic Games and Applications
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### Fields

 42 Biology and other natural sciences (92-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 History and biography (01-XX) 24 Dynamical systems and ergodic theory (37-XX) 14 General and overarching topics; collections (00-XX) 13 Measure and integration (28-XX) 11 Ordinary differential equations (34-XX) 7 General topology (54-XX) 7 Probability theory and stochastic processes (60-XX) 3 Mathematical logic and foundations (03-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

78 Publications have been cited 3,266 times in 2,428 Documents Cited by Year
Evolutionary games and population dynamics. Zbl 0914.90287
Hofbauer, Josef; Sigmund, Karl
1998
Ergodic theory on compact spaces. Zbl 0328.28008
Denker, Manfred; Grillenberger, Christian; Sigmund, Karl
1976
The theory of evolution and dynamical systems. Mathematical aspects of selection. Zbl 0678.92010
Hofbauer, Josef; Sigmund, Karl
1988
Evolutionary game dynamics. Zbl 1049.91025
Hofbauer, Josef; Sigmund, Karl
2003
The calculus of selfishness. Zbl 1189.91010
Sigmund, Karl
2010
Via freedom to coercion: the emergence of costly punishment. Zbl 1226.91010
Hauert, Christoph; Traulsen, Arne; Brandt, Hannelore; Nowak, Martin A.; Sigmund, Karl
2007
On dynamical systems with the specification property. Zbl 0286.28010
Sigmund, Karl
1974
Generic properties of invariant measures for Axiom A diffeomorphisms. Zbl 0193.35502
Sigmund, Karl
1970
Topological dynamics of transformations induced on the space of probability measures. Zbl 0314.54042
Bauer, Walter; Sigmund, Karl
1975
Adaptive dynamics and evolutionary stability. Zbl 0709.92015
Hofbauer, J.; Sigmund, K.
1990
The evolution of stochastic strategies in the prisoner’s dilemma. Zbl 0722.90092
Nowak, Martin; Sigmund, Karl
1990
Exploration dynamics in evolutionary games. Zbl 1202.91029
Traulsen, Arne; Hauert, Christoph; De Silva, Hannelore; Nowak, Martin A.; Sigmund, Karl
2009
Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles. Zbl 0384.34029
Schuster, P.; Sigmund, K.; Wolff, R.
1979
On $$\omega$$-limits for competition between three species. Zbl 0418.92016
Schuster, P.; Sigmund, K.; Wolff, R.
1979
Evolution of extortion in iterated prisoner’s dilemma games. Zbl 1292.91031
Hilbe, Christian; Nowak, Martin A.; Sigmund, Karl
2013
On the stabilizing effect of predators and competitors on ecological communities. Zbl 0716.92024
Hofbauer, J.; Sigmund, K.
1989
The take-it-or-leave-it option allows small penalties to overcome social dilemmas. Zbl 1355.91045
Sasaki, Tatsuya; Brännström, Åke; Dieckmann, Ulf; Sigmund, Karl
2012
Selfregulation of behaviour in animal societies. I. Symmetric contests. Zbl 0465.92016
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
Selfregulation of behaviour in animal societies. II. Games between two populations without selfinteraction. Zbl 0465.92017
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles. Zbl 0384.34028
Schuster, P.; Sigmund, K.; Wolff, R.
1978
Automata, repeated games and noise. Zbl 0837.90140
Nowak, Martin A.; Sigmund, Karl; El-Sedy, Esam
1995
Polynucleotide evolution and branching processes. Zbl 0576.92020
Demetrius, Lloyd; Schuster, Peter; Sigmund, Karl
1985
Permanence for replicator equations. Zbl 0638.92012
Hofbauer, J.; Sigmund, K.
1987
On the space of invariant measures for hyperbolic flows. Zbl 0242.28014
Sigmund, Karl
1972
Shaken not stirred: On permanence in ecological communities. Zbl 0963.92505
Jansen, Vincent A. A.; Sigmund, Karl
1998
Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050
2002
Mass action kinetics of selfreplication in flow reactors. Zbl 0464.92023
Schuster, Peter; Sigmund, Karl; Wolff, Robert
1980
Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. Zbl 0411.34061
Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R.
1980
The competition of assessment rules for indirect reciprocity. Zbl 1406.91055
Uchida, Satoshi; Sigmund, Karl
2010
Game-dynamical aspects of the prisoner’s dilemma. Zbl 0673.90104
Nowak, Martin; Sigmund, Karl
1989
Partners or rivals? Strategies for the iterated prisoner’s dilemma. Zbl 1318.91029
Hilbe, Christian; Traulsen, Arne; Sigmund, Karl
2015
Selfregulation of behaviour in animal societies. III. Games between two populations with selfinteraction. Zbl 0465.92018
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Gottlieb, Ramon; Merz, Philip
1981
Game dynamics, mixed strategies, and gradient systems. Zbl 0618.92013
Sigmund, Karl
1987
Competition and cooperation in catalytic selfreplication. Zbl 0448.92011
Hofbauer, J.; Schuster, P.; Sigmund, K.
1981
On the dynamics of asymmetric games. Zbl 0732.92031
Gaunersdorfer, Andrea; Hofbauer, Josef; Sigmund, Karl
1991
Permanence and uninvadability for deterministic population models. Zbl 0538.92018
Sigmund, K.; Schuster, P.
1984
Evolutionstheorie und dynamische Systeme. Mathematische Aspekte der Selektion. Zbl 0578.92015
Hofbauer, Josef; Sigmund, Karl
1984
Game dynamics in Mendelian populations. Zbl 0473.92015
Hofbauer, Josef; Schuster, Peter; Sigmund, Karl
1982
On minimal centers of attraction and generic points. Zbl 0354.54025
Sigmund, Karl
1977
Social control and the social contract: the emergence of sanctioning systems for collective action. Zbl 1214.91011
Sigmund, Karl; Hauert, Christoph; Traulsen, Arne; De Silva, Hannelore
2011
Time averages for unpredictable orbits of deterministic systems. Zbl 0778.58050
Sigmund, Karl
1992
On mixing measures for axiom A diffeomorphisms. Zbl 0225.28013
Sigmund, Karl
1973
The calculus of selfishness. Reprint of the 2010 hardback edition. Zbl 1338.91008
Sigmund, Karl
2016
On the connectedness of ergodic systems. Zbl 0365.28014
Sigmund, Karl
1977
Equal pay for all prisoners. Zbl 1044.91500
Boerlijst, Maarten C.; Nowak, Martin A.; Sigmund, Karl
1997
The dynamics of public goods. Zbl 1154.91398
Hauert, Christoph; Haiden, Nina; Sigmund, Karl
2004
Games of corruption: how to suppress illegal logging. Zbl 1412.91008
Lee, Joung-Hun; Sigmund, Karl; Dieckmann, Ulf; Iwasa, Yoh
2015
On the distribution of periodic points for $$\beta$$-shifts. Zbl 0333.58008
Sigmund, Karl
1976
A maximum principle for frequency dependent selection. Zbl 0617.92013
Sigmund, Karl
1987
The population dynamics of conflict and cooperation. Zbl 0907.92027
Sigmund, Karl
1998
Kolmogorov and population dynamics. Zbl 1222.01036
Sigmund, Karl
2007
The good, the bad and the discriminator – errors in direct and indirect reciprocity. Zbl 1446.91022
Brandt, Hannelore; Sigmund, Karl
2006
A survey of replicator equations. Zbl 0606.92001
Sigmund, Karl
1986
A philosopher’s mathematician: Hans Hahn and the Vienna circle. Zbl 0841.01012
Sigmund, Karl
1995
Results of a mathematical colloquium. (Ergebnisse eines Mathematischen Kolloquiums. Mit Beiträgen von J. W. Dawson jun., R. Engelking, W. Hildenbrand, Geleitwort von G. Debreu, Nachwort von F. Alt. Hrsg. von E. Dierker und K. Sigmund.) Zbl 0917.01024
Menger, Karl
1998
Exact thought in a demented time: Karl Menger and his Viennese Mathematical Colloquium. Zbl 1052.01522
Golland, Louise; Sigmund, Karl
2000
Ergodic averages for Axiom A diffeomorphisms. Zbl 0214.15901
Sigmund, K.
1971
On the prevalence of zero entropy. Zbl 0225.28012
Sigmund, Karl
1971
The maximum principle for replicator equations. Zbl 0576.92023
Sigmund, Karl
1985
Gradients for the evolution of bimatrix games. Zbl 0642.92010
Koth, Maria; Sigmund, Karl
1987
A mathematical model of the hypercycle. Zbl 0437.92015
Schuster, P.; Sigmund, K.
1980
On the time evolution of statistical states for Anosov systems. Zbl 0283.58012
Sigmund, Karl
1974
Normal and quasiregular points for automorphisms of the torus. Zbl 0297.28020
Sigmund, Karl
1975
Invasion dynamics of the finitely repeated prisoner’s dilemma. Zbl 0840.90143
Nowak, Martin A.; Sigmund, Karl
1995
The logic of reprobation: assessment and action rules for indirect reciprocation. Zbl 1464.92182
Brandt, Hannelore; Sigmund, Karl
2004
Random selection. A simple model based on linear birth and death processes. Zbl 0525.92013
Schuster, P.; Sigmund, K.
1984
Permanence and viability. Zbl 0659.93059
Aubin, Jean-Pierre; Sigmund, Karl
1988
Affine transformations on the space of probability measures. Zbl 0385.28010
Sigmund, Karl
1978
Leray in Edelbach. Zbl 1189.01064
Sigmund, Anna Maria; Michor, Peter; Sigmund, Karl
2005
Introduction to evolutionary game theory. Zbl 1241.91021
Sigmund, Karl
2011
Random selection and the neutral theory. Sources of stochasticity in replication. Zbl 0541.60092
Schuster, P.; Sigmund, K.
1984
Dynamics of macrosystems. Proceedings of a Workshop on the Dynamics of Macrosystems Held at the International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria, September 3-7, 1984. Zbl 0572.00024
1985
Permanence and heteroclinic cycles for ecological equations. Zbl 0665.92018
Sigmund, Karl
1987
Fixation probabilities for advantageous mutants: A note on multiplication and sampling. Zbl 0669.92008
Schuster, Peter; Sigmund, Karl
1989
Kepler in Eferding. Zbl 1055.01522
Sigmund, Karl
2001
Exact thinking in demented times. The Vienna Circle and the epic quest for the foundations of science. With a preface by Douglas Hofstadter. Translated from the German by the author. Revised edition of the German original. Zbl 1404.03003
Sigmund, Karl
2017
Obituary for Leopold Schmetterer (1919–2004). (Nachruf auf Leopold Schmetterer.) Zbl 1126.01018
Binder, Christa; Hlawka, Edmund; Sigmund, Karl
2006
Pictures at an exhibition. Zbl 1104.01318
Sigmund, Karl
2006
Exact thinking in demented times. The Vienna Circle and the epic quest for the foundations of science. With a preface by Douglas Hofstadter. Translated from the German by the author. Revised edition of the German original. Zbl 1404.03003
Sigmund, Karl
2017
The calculus of selfishness. Reprint of the 2010 hardback edition. Zbl 1338.91008
Sigmund, Karl
2016
Partners or rivals? Strategies for the iterated prisoner’s dilemma. Zbl 1318.91029
Hilbe, Christian; Traulsen, Arne; Sigmund, Karl
2015
Games of corruption: how to suppress illegal logging. Zbl 1412.91008
Lee, Joung-Hun; Sigmund, Karl; Dieckmann, Ulf; Iwasa, Yoh
2015
Evolution of extortion in iterated prisoner’s dilemma games. Zbl 1292.91031
Hilbe, Christian; Nowak, Martin A.; Sigmund, Karl
2013
The take-it-or-leave-it option allows small penalties to overcome social dilemmas. Zbl 1355.91045
Sasaki, Tatsuya; Brännström, Åke; Dieckmann, Ulf; Sigmund, Karl
2012
Social control and the social contract: the emergence of sanctioning systems for collective action. Zbl 1214.91011
Sigmund, Karl; Hauert, Christoph; Traulsen, Arne; De Silva, Hannelore
2011
Introduction to evolutionary game theory. Zbl 1241.91021
Sigmund, Karl
2011
The calculus of selfishness. Zbl 1189.91010
Sigmund, Karl
2010
The competition of assessment rules for indirect reciprocity. Zbl 1406.91055
Uchida, Satoshi; Sigmund, Karl
2010
Exploration dynamics in evolutionary games. Zbl 1202.91029
Traulsen, Arne; Hauert, Christoph; De Silva, Hannelore; Nowak, Martin A.; Sigmund, Karl
2009
Via freedom to coercion: the emergence of costly punishment. Zbl 1226.91010
Hauert, Christoph; Traulsen, Arne; Brandt, Hannelore; Nowak, Martin A.; Sigmund, Karl
2007
Kolmogorov and population dynamics. Zbl 1222.01036
Sigmund, Karl
2007
The good, the bad and the discriminator – errors in direct and indirect reciprocity. Zbl 1446.91022
Brandt, Hannelore; Sigmund, Karl
2006
Obituary for Leopold Schmetterer (1919–2004). (Nachruf auf Leopold Schmetterer.) Zbl 1126.01018
Binder, Christa; Hlawka, Edmund; Sigmund, Karl
2006
Pictures at an exhibition. Zbl 1104.01318
Sigmund, Karl
2006
Leray in Edelbach. Zbl 1189.01064
Sigmund, Anna Maria; Michor, Peter; Sigmund, Karl
2005
The dynamics of public goods. Zbl 1154.91398
Hauert, Christoph; Haiden, Nina; Sigmund, Karl
2004
The logic of reprobation: assessment and action rules for indirect reciprocation. Zbl 1464.92182
Brandt, Hannelore; Sigmund, Karl
2004
Evolutionary game dynamics. Zbl 1049.91025
Hofbauer, Josef; Sigmund, Karl
2003
Adaptive dynamics of infectious diseases. In pursuit of virulence management. Zbl 1228.92050
2002
Kepler in Eferding. Zbl 1055.01522
Sigmund, Karl
2001
Exact thought in a demented time: Karl Menger and his Viennese Mathematical Colloquium. Zbl 1052.01522
Golland, Louise; Sigmund, Karl
2000
Evolutionary games and population dynamics. Zbl 0914.90287
Hofbauer, Josef; Sigmund, Karl
1998
Shaken not stirred: On permanence in ecological communities. Zbl 0963.92505
Jansen, Vincent A. A.; Sigmund, Karl
1998
The population dynamics of conflict and cooperation. Zbl 0907.92027
Sigmund, Karl
1998
Results of a mathematical colloquium. (Ergebnisse eines Mathematischen Kolloquiums. Mit Beiträgen von J. W. Dawson jun., R. Engelking, W. Hildenbrand, Geleitwort von G. Debreu, Nachwort von F. Alt. Hrsg. von E. Dierker und K. Sigmund.) Zbl 0917.01024
Menger, Karl
1998
Equal pay for all prisoners. Zbl 1044.91500
Boerlijst, Maarten C.; Nowak, Martin A.; Sigmund, Karl
1997
Automata, repeated games and noise. Zbl 0837.90140
Nowak, Martin A.; Sigmund, Karl; El-Sedy, Esam
1995
A philosopher’s mathematician: Hans Hahn and the Vienna circle. Zbl 0841.01012
Sigmund, Karl
1995
Invasion dynamics of the finitely repeated prisoner’s dilemma. Zbl 0840.90143
Nowak, Martin A.; Sigmund, Karl
1995
Time averages for unpredictable orbits of deterministic systems. Zbl 0778.58050
Sigmund, Karl
1992
On the dynamics of asymmetric games. Zbl 0732.92031
Gaunersdorfer, Andrea; Hofbauer, Josef; Sigmund, Karl
1991
Adaptive dynamics and evolutionary stability. Zbl 0709.92015
Hofbauer, J.; Sigmund, K.
1990
The evolution of stochastic strategies in the prisoner’s dilemma. Zbl 0722.90092
Nowak, Martin; Sigmund, Karl
1990
On the stabilizing effect of predators and competitors on ecological communities. Zbl 0716.92024
Hofbauer, J.; Sigmund, K.
1989
Game-dynamical aspects of the prisoner’s dilemma. Zbl 0673.90104
Nowak, Martin; Sigmund, Karl
1989
Fixation probabilities for advantageous mutants: A note on multiplication and sampling. Zbl 0669.92008
Schuster, Peter; Sigmund, Karl
1989
The theory of evolution and dynamical systems. Mathematical aspects of selection. Zbl 0678.92010
Hofbauer, Josef; Sigmund, Karl
1988
Permanence and viability. Zbl 0659.93059
Aubin, Jean-Pierre; Sigmund, Karl
1988
Permanence for replicator equations. Zbl 0638.92012
Hofbauer, J.; Sigmund, K.
1987
Game dynamics, mixed strategies, and gradient systems. Zbl 0618.92013
Sigmund, Karl
1987
A maximum principle for frequency dependent selection. Zbl 0617.92013
Sigmund, Karl
1987
Gradients for the evolution of bimatrix games. Zbl 0642.92010
Koth, Maria; Sigmund, Karl
1987
Permanence and heteroclinic cycles for ecological equations. Zbl 0665.92018
Sigmund, Karl
1987
A survey of replicator equations. Zbl 0606.92001
Sigmund, Karl
1986
Polynucleotide evolution and branching processes. Zbl 0576.92020
Demetrius, Lloyd; Schuster, Peter; Sigmund, Karl
1985
The maximum principle for replicator equations. Zbl 0576.92023
Sigmund, Karl
1985
Dynamics of macrosystems. Proceedings of a Workshop on the Dynamics of Macrosystems Held at the International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria, September 3-7, 1984. Zbl 0572.00024
1985
Permanence and uninvadability for deterministic population models. Zbl 0538.92018
Sigmund, K.; Schuster, P.
1984
Evolutionstheorie und dynamische Systeme. Mathematische Aspekte der Selektion. Zbl 0578.92015
Hofbauer, Josef; Sigmund, Karl
1984
Random selection. A simple model based on linear birth and death processes. Zbl 0525.92013
Schuster, P.; Sigmund, K.
1984
Random selection and the neutral theory. Sources of stochasticity in replication. Zbl 0541.60092
Schuster, P.; Sigmund, K.
1984
Game dynamics in Mendelian populations. Zbl 0473.92015
Hofbauer, Josef; Schuster, Peter; Sigmund, Karl
1982
Selfregulation of behaviour in animal societies. I. Symmetric contests. Zbl 0465.92016
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
Selfregulation of behaviour in animal societies. II. Games between two populations without selfinteraction. Zbl 0465.92017
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Wolff, Robert
1981
Selfregulation of behaviour in animal societies. III. Games between two populations with selfinteraction. Zbl 0465.92018
Schuster, Peter; Sigmund, Karl; Hofbauer, Josef; Gottlieb, Ramon; Merz, Philip
1981
Competition and cooperation in catalytic selfreplication. Zbl 0448.92011
Hofbauer, J.; Schuster, P.; Sigmund, K.
1981
Mass action kinetics of selfreplication in flow reactors. Zbl 0464.92023
Schuster, Peter; Sigmund, Karl; Wolff, Robert
1980
Dynamical systems under constant organization. II: Homogeneous growth functions of degree p=2. Zbl 0411.34061
Hofbauer, J.; Schuder, P.; Sigmund, K.; Wolff, R.
1980
A mathematical model of the hypercycle. Zbl 0437.92015
Schuster, P.; Sigmund, K.
1980
Dynamical systems under constant organization. III: Cooperative and competitive behaviour of hypercycles. Zbl 0384.34029
Schuster, P.; Sigmund, K.; Wolff, R.
1979
On $$\omega$$-limits for competition between three species. Zbl 0418.92016
Schuster, P.; Sigmund, K.; Wolff, R.
1979
Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles. Zbl 0384.34028
Schuster, P.; Sigmund, K.; Wolff, R.
1978
Affine transformations on the space of probability measures. Zbl 0385.28010
Sigmund, Karl
1978
On minimal centers of attraction and generic points. Zbl 0354.54025
Sigmund, Karl
1977
On the connectedness of ergodic systems. Zbl 0365.28014
Sigmund, Karl
1977
Ergodic theory on compact spaces. Zbl 0328.28008
Denker, Manfred; Grillenberger, Christian; Sigmund, Karl
1976
On the distribution of periodic points for $$\beta$$-shifts. Zbl 0333.58008
Sigmund, Karl
1976
Topological dynamics of transformations induced on the space of probability measures. Zbl 0314.54042
Bauer, Walter; Sigmund, Karl
1975
Normal and quasiregular points for automorphisms of the torus. Zbl 0297.28020
Sigmund, Karl
1975
On dynamical systems with the specification property. Zbl 0286.28010
Sigmund, Karl
1974
On the time evolution of statistical states for Anosov systems. Zbl 0283.58012
Sigmund, Karl
1974
On mixing measures for axiom A diffeomorphisms. Zbl 0225.28013
Sigmund, Karl
1973
On the space of invariant measures for hyperbolic flows. Zbl 0242.28014
Sigmund, Karl
1972
Ergodic averages for Axiom A diffeomorphisms. Zbl 0214.15901
Sigmund, K.
1971
On the prevalence of zero entropy. Zbl 0225.28012
Sigmund, Karl
1971
Generic properties of invariant measures for Axiom A diffeomorphisms. Zbl 0193.35502
Sigmund, Karl
1970
all top 5

### Cited by 3,011 Authors

 49 Nowak, Martin Andreas 36 Hofbauer, Josef 36 Sigmund, Karl 32 Cressman, Ross 31 Wang, Yuanshi 30 Traulsen, Arne 24 Oprocha, Piotr 22 Chen, Xiaojie 20 Ohtsuki, Hisashi 20 Wang, Long 17 Hauert, Christoph 17 Křivan, Vlastimil 17 Schuster, Peter 17 Wu, Hong 16 Schreiber, Sebastian J. 15 Broom, Mark 15 Perc, Matjaž 15 Tian, Xueting 14 Szolnoki, Attila 13 Kurokawa, Shun 13 Rand, David G. 13 Stadler, Peter F. 13 Takeuchi, Yasuhiro 12 Allen, Benjamin L. 12 Bomze, Immanuel M. 12 Lessard, Sabin 11 Ahmed, Elsayed 11 Hofbauer, Franz 11 Wang, Xianjia 11 Wang, Zhen 10 Ashwin, Peter 10 Boyle, Mike 10 Fu, Feng 10 Garay, József 10 Lu, Zhengyi 10 Pacheco, Jorge M. 10 Santos, Francisco C. 10 Sun, Wenxiang 10 Tao, Yi 10 van Veelen, Matthijs 10 Wu, Bin 10 Xia, Chengyi 10 Zhang, Boyu 9 Bratus, Alexander S. 9 Denker, Manfred 9 Gokhale, Chaitanya S. 9 He, Mingfeng 9 Jiang, Jifa 9 McAvoy, Alex 9 Mertikopoulos, Panayotis 9 Mukhamedov, Farruh Maksutovich 9 Pan, Qiuhui 9 Shi, Lei 9 Smith, Hal Leslie 9 Varandas, Paulo 9 Wang, Zhen 9 Ye, Xiangdong 8 Argasinski, Krzysztof 8 Bellomo, Nicola 8 Dieckmann, Ulf 8 Gyllenberg, Mats 8 Lind, Douglas A. 8 Liu, Linjie 8 Park, Junpyo 8 Radi, Davide 8 Rychtár, Jan 8 Sasaki, Tatsuya 8 Shaiju, A. J. 8 Shen, Chen 8 Souza, Max O. 7 Alsedà, Lluís 7 Auger, Pierre M. 7 Benaïm, Michel 7 Berger, Ulrich 7 Bischi, Gian-Italo 7 Chalub, Fabio A. C. C. 7 Das, Ruchi 7 Dercole, Fabio 7 Freedman, Herbert Irving 7 Hilbe, Christian 7 Huttegger, Simon M. 7 Imhof, Lorens A. 7 Karev, Georgiĭ Petrovich 7 Li, Mingchu 7 Liu, Chao 7 Masuda, Naoki 7 Mobilia, Mauro 7 Płatkowski, Tadeusz 7 Spirakis, Paul G. 7 Tanimoto, Jun 7 Tarniţǎ, Corina E. 7 Yamamoto, Kenichiro 6 Baake, Michael 6 Baigent, Stephen A. 6 Bauch, Chris T. 6 Blanchard, François 6 Bürger, Reinhard 6 Castro, Sofia B. S. D. 6 Champagnat, Nicolas 6 Chu, Chen ...and 2,911 more Authors
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### Cited in 326 Serials

 281 Journal of Theoretical Biology 142 Journal of Mathematical Biology 100 Applied Mathematics and Computation 83 Chaos, Solitons and Fractals 79 Theoretical Population Biology 69 Bulletin of Mathematical Biology 66 Dynamic Games and Applications 61 Mathematical Biosciences 59 Ergodic Theory and Dynamical Systems 48 Games 45 Physica A 43 Journal of Mathematical Analysis and Applications 39 Transactions of the American Mathematical Society 37 Journal of Differential Equations 36 Monatshefte für Mathematik 35 Games and Economic Behavior 28 Israel Journal of Mathematics 27 Proceedings of the American Mathematical Society 27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 27 Chaos 26 Physica D 22 Journal of Difference Equations and Applications 20 Journal of Statistical Physics 20 Physics Letters. A 19 Discrete and Continuous Dynamical Systems 18 International Journal of Game Theory 18 Nonlinear Analysis. Real World Applications 17 Dynamical Systems 16 Journal of Economic Theory 16 Topology and its Applications 16 Journal of Dynamics and Games 13 Theoretical Computer Science 13 International Journal of Modern Physics C 13 Discrete and Continuous Dynamical Systems. Series B 13 Journal of Biological Dynamics 12 Inventiones Mathematicae 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 The Annals of Applied Probability 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Proceedings of the National Academy of Sciences of the United States of America 11 Journal of Dynamics and Differential Equations 11 International Game Theory Review 11 Stochastics and Dynamics 10 Nonlinearity 10 Communications in Nonlinear Science and Numerical Simulation 10 Advances in Complex Systems 9 Computers & Mathematics with Applications 9 Communications in Mathematical Physics 9 Advances in Mathematics 9 Mathematische Zeitschrift 9 Journal of Economic Dynamics & Control 8 Acta Applicandae Mathematicae 8 Linear Algebra and its Applications 8 Stochastic Processes and their Applications 8 Journal of Nonlinear Science 8 Qualitative Theory of Dynamical Systems 8 SIAM Journal on Applied Dynamical Systems 8 Mathematical Biosciences and Engineering 8 The European Physical Journal B. Condensed Matter and Complex Systems 8 Mathematical Modelling of Natural Phenomena 7 Automatica 7 Journal of Computational and Applied Mathematics 7 The Journal of Mathematical Sociology 7 Theory and Decision 7 Complexity 7 Nonlinear Dynamics 7 Advances in Difference Equations 6 Biological Cybernetics 6 Physics Reports 6 The Mathematical Intelligencer 6 Systems & Control Letters 6 Annals of Operations Research 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Mathematical Analysis 6 Acta Mathematica Sinica. English Series 6 Nonlinear Analysis. Theory, Methods & Applications 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Applicable Analysis 5 Journal of the Franklin Institute 5 Mathematical Methods in the Applied Sciences 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Journal of Applied Probability 5 Journal of Computer and System Sciences 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Mathematical Social Sciences 5 Mathematical and Computer Modelling 5 Japan Journal of Industrial and Applied Mathematics 5 European Journal of Operational Research 5 Abstract and Applied Analysis 5 New Journal of Physics 5 International Journal of Biomathematics 4 Rocky Mountain Journal of Mathematics 4 Bulletin de la Société Mathématique de France 4 Mathematics of Operations Research 4 Forum Mathematicum 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Economic Theory 4 Differential Equations and Dynamical Systems 4 Discrete Dynamics in Nature and Society 4 Journal of Dynamical and Control Systems ...and 226 more Serials
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### Cited in 55 Fields

 1,092 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 987 Biology and other natural sciences (92-XX) 704 Dynamical systems and ergodic theory (37-XX) 325 Ordinary differential equations (34-XX) 176 Probability theory and stochastic processes (60-XX) 147 General topology (54-XX) 139 Measure and integration (28-XX) 85 Partial differential equations (35-XX) 76 Computer science (68-XX) 69 Systems theory; control (93-XX) 54 Operations research, mathematical programming (90-XX) 53 Statistical mechanics, structure of matter (82-XX) 39 Combinatorics (05-XX) 34 Numerical analysis (65-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 30 Operator theory (47-XX) 29 Number theory (11-XX) 27 Information and communication theory, circuits (94-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 Difference and functional equations (39-XX) 19 Statistics (62-XX) 15 History and biography (01-XX) 14 Mathematical logic and foundations (03-XX) 13 Topological groups, Lie groups (22-XX) 13 Functional analysis (46-XX) 13 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 General and overarching topics; collections (00-XX) 10 Integral equations (45-XX) 10 Mechanics of particles and systems (70-XX) 10 Quantum theory (81-XX) 9 Real functions (26-XX) 9 Functions of a complex variable (30-XX) 9 Manifolds and cell complexes (57-XX) 8 Convex and discrete geometry (52-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Group theory and generalizations (20-XX) 5 Fluid mechanics (76-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Algebraic geometry (14-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

### Wikidata Timeline

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