Publications

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Refereed Articles

  1. Hauert, C., & Szabó, G. (2025) Phase transitions and symmetry breaking of cooperation on lattices Phys. Rev. E. 054308.
    (doi: 10.1103/PhysRevE.111.054308).

  2. Izquierdo, L. R., Izquierdo, S. S., & Hauert, C. (2025) Positive and negative selective assortment in pairwise interactions J. theor. Biol. 608 112129.
    (doi: 10.1016/j.jtbi.2025.112129).

  3. Sudweeks, J. & Hauert, C. (2025) The impact of simultaneous infections on phage-host ecology Theor. Pop. Biol. 161 42-49.
    (doi: 10.1016/j.tpb.2024.12.002).

  4. Hauert, C. & McAvoy, A. (2024) Frequency-dependent returns in nonlinear public goods games J. R. Soc. Interface 21 (219).
    (doi: 10.1098/rsif.2024.0334).

  5. Hauert, C., & Szabó, G. (2024) Spontaneous symmetry breaking of cooperation between species PNAS Nexus 3 (9) pgae326.
    (doi: 10.1093/pnasnexus/pgae326, interactive tutorial).

  6. van Vliet, S., Hauert, C., Fridberg, K., Ackermann, M. & Dal Co, A. (2022) Global dynamics of microbial communities emerge from local interaction rules PLoS Comp. Biol. 18 (3) e1009877.
    (doi: 10.1371/journal.pcbi.1009877).

  7. Wu, J.S., Hauert, C., Kremen, C. & Zhao, J. (2022) A Framework on Polarization, Cognitive Inflexibility, and Rigid Cognitive Specialization Front. Psychol. Evol. Psychol. 13 776891.
    (doi: 10.3389/fpsyg.2022.776891).

  8. Hauert, C. & Doebeli, M. (2021) Spatial social dilemmas promote diversity Proc. Natl. Acad. Sci. USA, 118 (42) e2105252118
    (doi: 10.1073/pnas.2105252118, interactive tutorial).

  9. McAvoy, A., Rao, A. & Hauert, C. (2021) Intriguing effects of selection intensity on the evolution of prosocial behaviors PLoS Comp. Biol. 17 (11) e1009611.
    (doi: 10.1371/journal.pcbi.1009611, full text).

  10. Henriques, G. J. B., Ito, K., Hauert, C. & Doebeli, M. (2021) On the importance of evolving phenotype distributions on evolutionary diversification PLoS Comp. Biol. 17 (2) e1008733.
    (doi: 10.1371/journal.pcbi.1008733, full text).

  11. Ibbotson, P., Hauert, c. & Walker, R. (2019) Effort Perception is Made More Accurate with More Effort and When Cooperating with Slackers Sci. Rep. 9 17491.
    (doi: 10.1038/s41598-019-53646-9, full text).

  12. Zareyan, S., Otto, S. P. & Hauert, C. (2019) A sheep in wolf’s clothing: levels of deceit and detection in the evolution of cue-mimicry Proc. R. Soc. Lond. B. 286 20191425.
    (doi: 10.1098/rspb.2019.1425).

  13. Funk, F. & Hauert, C. (2019) Directed migration shapes cooperation in spatial ecological public goods games PLoS Comp. Biol. 15 (8) e1006948.
    (doi: 10.1371/journal.pcbi.1006948, full text).

  14. Hauert, C., Saade, C. & McAvoy, A. (2019) Asymmetric games and environmental feedback J. theor. Biol. 462 347-360.
    (doi: 10.1016/j.jtbi.2018.11.019).

  15. Hauert, C. & Miȩkisz, J. (2018) Effects of sampling interaction partners and competitors in evolutionary games Phys. Rev. E 98 052301.
    (doi: 10.1103/PhysRevE.98.052301, full text).

  16. McAvoy, A., Fraiman, N., Hauert, C., Wakeley, J. & Nowak, M. A. (2018) Public goods games in populations with fluctuating size Theor. Pop. Biol. 121 72-84.
    (doi: 10.1016/j.tpb.2018.01.004, full text).

  17. McAvoy, A. & Hauert, C. (2017) Autocratic strategies for alternating games Theor. Pop. Biol. 113 13-22.
    (doi: 10.1016/j.tpb.2016.09.004, full text).

  18. Gokhale, C. S. & Hauert, C. (2016) Eco-evolutionary dynamics of social dilemmas Theor. Pop. Biol. 111 28-42.
    (doi: 10.1016/j.tpb.2016.05.005, full text).

  19. McAvoy, A. & Hauert, C. (2016) Autocratic strategies for iterated games with arbitrary action spaces Proc. Natl. Acad. Sci. USA 113 (13) 3573-3578.
    (doi: 10.1073/pnas.1520163113, full text).

  20. Wardil, L. & Hauert, C. (2016) Targeted Cooperative Actions Shape Social Networks PLoS one 11 (1) e0147850.
    (doi: 10.1371/journal.pone.0147850, full text).

  21. Smith, J. E., Gavrilets, S., Borgerhoff Mulder, M., Hooper, P. L., El Mouden, C., Nettle, D., Hauert, C., Hill, K., Perry, S., Pusey, A. E., van Vugt, M. & Smith, E. A. (2015) Leadership in Mammalian Societies: Emergence, Distribution, Power, and Payoff TREE 31 54-66.
    (doi: 10.1016/j.tree.2015.09.013, full text).

  22. McAvoy, A. & Hauert, C. (2015) Structural Symmetry in Evolutionary Games J. R. Soc. Interface 12 20150420.
    (doi: 10.1098/rsif.2015.0420, full text).

  23. McAvoy, A. & Hauert, C. (2015) Asymmetric Evolutionary Games PLoS Comp. Biol. 11 (8) e1004349.
    (doi: 10.1371/journal.pcbi.1004349, full text).

  24. Huang, W., Hauert, C. & Traulsen, A. (2015) Stochastic evolutionary games in dynamic populations Proc. Natl. Acad. Sci. USA 112 (29) 9064-9069.
    (doi: 10.1073/pnas.1418745112, full text).

  25. Jamieson-Lane, A. & Hauert, C. (2015) Fixation probabilities on super-stars revisited J. Theor. Biol. 382 44-56.
    (doi: 10.1016/j.jtbi.2015.06.029, full text).

  26. McAvoy, A. & Hauert, C. (2015) Structure coefficients and strategy selection in multiplayer games J. Math. Biol. (online first).
    (doi: 10.1007/s00285-015-0882-3, full text).

  27. Wardil, L. & Hauert, C. (2015) Cooperation and coauthorship in scientific publishing Phys. Rev. E 91 012825.
    (doi: 10.1103/PhysRevE.91.012825, full text).

  28. Wardil, L. & Hauert, C. (2014) Origin and Structure of Dynamic Cooperative Networks Scientific Reports 4 5725.
    (doi: 10.1038/srep05725, full text, supplement).

  29. Hauert, C., Chen, Y.-T. & Imhof, L. (2014) Fixation Times in Deme Structured, Finite Populations with Rare Migration J. Stat. Phys. 156 (4) 739-759.
    (doi: 10.1007/s10955-014-1022-y, full text).

  30. Maciejewski, W., Fu, F. & Hauert, C. (2014) Evolutionary Game Dynamics in Populations with Heterogeneous Structures PLoS Comp. Biol. 10 (4) e1003567.
    (doi: 10.1371/journal.pcbi.1003567, full text).

  31. Debarre, F., Hauert, C. & Doebeli, M. (2014) Social evolution in structured populations Nature Communications 5 3409.
    (doi: 10.1038/ncomms4409, full text, supplement).

  32. Wu, B., García, J., Hauert, C. & Traulsen, A. (2013) Extrapolating weak selection in evolutionary games, PLoS Comp. Biol. 9 (12), e1003381.
    (doi: 10.1371/journal.pcbi.1003381, full text, iPhython gallery) 2.

  33. Jacquet, J., Hagel, K., Hauert, C., Marotzke, J., Röhl & Milinski, M. (2013) Intra- and intergenerational discounting in the climate game, Nature Climate Change 3 1025-1028.
    (doi: 10.1038/NCLIMATE2024, full text, CNN report, video)

  34. Doebeli, M., Hauert, C. & Killingback, T. (2013) A comment on "Towards a rigorous framework for studying 2-player continuous games" by Shade T. Shutters, Journal of Theoretical Biology 321, 40-43, 2013 J. of Theor. Biol. 336 240-241.
    (doi: 10.1016/j.jtbi.2013.05.035, full text)

  35. Zukewich, J., Kurella, V., Doebeli, M., Hauert, C. (2013) Consolidating Birth-Death and Death-Birth Processes in Structured Populations, PLoS one 8 (1) e54639.
    (doi: 10.1371/journal.pone.0054639, full text)

  36. Huang, W., Haubold, B., Hauert, Ch. & Traulsen, A. (2012) Emergence of stable polymorphisms driven by evolutionary games between mutants, Nature Communications 3 919.
    (doi: 10.1038/ncomms1930, full text)

  37. Traulsen, A., Claussen J. C. & Hauert, Ch. (2012) Stochastic differential equations for evolutionary dynamics with demographic noise and mutations Phys. Rev. E 85, 041901.
    (doi: 10.1103/PhysRevE.85.041901, full text).

  38. Hauert, Ch. & Imhof, L. (2011) Evolutionary Games in Deme Structured, Finite Populations, J. theor. Biol. 299 106-112.
    (doi: 10.1016/j.jtbi.2011.06.010, full text)

  39. Jacquet, J., Hauert, Ch., Traulsen, A. & Milinski, M. (2011) Shame and honour drive cooperation, Biol. Lett. 7, 899-901.
    (doi: 10.1098/rsbl.2011.0367, full text).

  40. Wakano, J. Y. & Hauert, Ch. (2011) Pattern formation and chaos in spatial ecological public goods games, J. theor. Biol. 268 30-38.
    (doi: 10.1016/j.jtbi.2010.09.036, full text, interactive tutorial).

  41. Sigmund, K., Hauert, Ch., Traulsen, A. & De Silva, H. (2011) Social control and the social contract: the emergence of sanctioning systems for collective action, Dyn. Games & Appl. 1, 149-171.
    (doi: 10.1007/s13235-010-0001-4, full text).

  42. Forsyth, P. A. I. & Hauert, Ch. (2011) Public goods games with reward in finite populations, J. Math. Biol. 63, 109-123.
    (doi: 10.1007/s00285-010-0363-7, full text).

  43. Sigmund, K., De Silva, H., Traulsen, A. & Hauert, Ch. (2010) Social learning promotes institutions for governing the commons, Nature 466, 861-863.
    (doi: 10.1038/nature09203, full text, supplement, interactive tutorial) 2.

  44. Hauert, Ch. (2010) Replicator Dynamics of Reward & Reputation in Public Goods Games, J. theor. Biol. 267 22-28.
    (doi: 10.1016/j.jtbi.2010.08.009, full text, interactive tutorial).

  45. Fu, F., Nowak M. A. & Hauert, Ch. (2010) Invasion and expansion of cooperators in lattice populations: Prisoner's dilemma vs. Snowdrift games, J. theor. Biol. 266 358-366.
    (doi: 10.1016/j.jtbi.2010.06.042, full text) 2.

  46. Killingback, T., Doebeli, M. & Hauert, Ch. (2010) Cooperation and Defection in the Tragedy of the Commons, Biological Theory 5, 3-6.
    (doi: 10.1162/BIOT_a_00019, full text, interactive tutorial).

  47. De Silva, H., Hauert, Ch., Traulsen, A. & Sigmund, K. (2010) Freedom, enforcement, and the social dilemma of strong altruism J. Evol. Econ. 20, 203-217.
    (doi: 10.1007/s00191-009-0162-8, full text, interactive tutorial).

  48. Wakano, J. Y., Nowak, M. A. & Hauert, Ch. (2009) Spatial Dynamics of Ecological Public Goods Proc. Natl. Acad. Sci. USA 106 7910-7914.
    (doi: 10.1073/pnas.0812644106, full text, supplement, interactive tutorial).

  49. Fu, F., Wang, L., Nowak, M. A. & Hauert, Ch. (2009) Evolutionary dynamics on graphs: Efficient method for weak selection Phys. Rev. E 79 046707.
    (doi: 10.1103/PhysRevE.79.046707, full text) 1.

  50. Traulsen, A., Hauert, Ch., De Silva neé Brandt, H., Nowak, M. A. & Sigmund, K. (2009) Exploration dynamics in evolutionary games, Proc. Natl. Acad. Sci. USA 106 709-712.
    (doi: 10.1073/pnas.0808450106, full text, supplement) 1.

  51. Hauert, Ch., Traulsen, A., De Silva née Brandt, H., Nowak, M. A. & Sigmund, K. (2008) Public goods with punishment and abstaining in finite and infinite populations, Biological Theory 3, 114-122.
    (doi: 10.1162/biot.2008.3.2.114, full text).

  52. Fu, F., Hauert, Ch., Nowak, M. A. & Wang, L. (2008) Reputation-based partner choice promotes cooperation in social networks, Phys. Rev. E 78 026117.
    (doi: 10.1103/PhysRevE.78.026117, full text) 1.

  53. Hauert, Ch., Wakano, J. Y. & Doebeli, M. (2008) Ecological Public Goods Games: cooperation and bifurcation, Theor. Pop. Biol. 73 257-263.
    (doi: 10.1016/j.tpb.2007.11.007, full text, supplement, interactive tutorial).

  54. Langer, P., Nowak, M. A. & Hauert, Ch. (2008) Spatial Invasion of Cooperation, J. theor. Biol. 250 634-641.
    (doi: 10.1016/j.jtbi.2007.11.002, full text).

  55. Hauert, Ch., Traulsen, A., Brandt, H., Nowak, M. A. & Sigmund, K. (2007) Via freedom to coercion: the emergence of costly punishment, Science 316, 1905-1907.
    (doi: 10.1126/science.1141588, full text, supplement, interactive tutorial) 2, 4.

  56. Hauert, Ch. (2006) Cooperation, Collectives Formation and Specialization, Adv. Complex Systems 9, 315-335.
    (doi: 10.1142/S0219525906000847, full text, interactive tutorial) 2.

  57. Hauert, Ch., Holmes, M. & Doebeli, M. (2006) Evolutionary games and population dynamics: maintenance of cooperation in public goods games, Proc. R. Soc. Lond. B 273, 2565-2570.
    (doi: 10.1098/rspb.2006.3600, full text, corrigendum, interactive tutorial) 2.

  58. Doebeli, M. & Hauert, Ch. (2006) The Limits of Hamilton's rule, J. Evol. Biol. 19, 1386-1388.
    (doi: 10.1111/j.1420-9101.2006.01157.x, full text).

  59. Traulsen, A., Claussen J. C. & Hauert, Ch. (2006) Coevolutionary dynamics in large but finite populations Phys. Rev. E 74, 011901.
    (doi: 10.1103/PhysRevE.74.011901, full text) 1.

  60. Hauert, Ch. (2006) Spatial effects in social dilemmas, J. Theor. Biol. 240, 627-636.
    (doi: 10.1016/j.jtbi.2005.10.024, full text, interactive tutorial)

  61. Ohtsuki, H., Hauert, Ch., Lieberman, E. & Nowak, M. (2006) A simple rule for the evolution of cooperation on graphs Nature 441, 502-505.
    (doi: 10.1038/nature04605, full text, supplement) 1, 2.

  62. Hauert, Ch., Michor, F., Nowak, M. A. & Doebeli, M. (2006) Synergy and discounting of cooperation in social dilemmas, J. theor. Biol. 239, 195-202.
    (doi: 10.1016/j.jtbi.2005.08.040, full text, interactive tutorial).

  63. Brandt, H., Hauert, Ch. & Sigmund, K. (2006) Punishing and abstaining for public goods Proc. Natl. Acad. Sci. USA 103, 495-497.
    (doi: 10.1073/pnas.0507229103, full text).

  64. Traulsen, A., Claussen J. C. & Hauert, Ch. (2005) Coevolutionary dynamics: from finite to infinite populations Phys. Rev. Lett. 95, 238701.
    (doi: 10.1103/PhysRevLett.95.238701, full text) 1.

  65. Doebeli, M. & Hauert, Ch. (2005) Models of cooperation based on the Prisoner’s Dilemma and the Snowdrift game, Ecol. Lett. 8 748-766.
    (doi: 10.1111/j.1461-0248.2005.00773.x, full text) 2.

  66. Hauert, Ch. & Szabó, G. (2005) Game theory and physics, Am. J. Phys. 73 405-414.
    (doi: 10.1119/1.1848514, full text) 1.

  67. Lieberman, E., Hauert, Ch. & Nowak, M. A. (2005) Evolutionary dynamics on graphs, Nature 433 312-316.
    (doi: 10.1038/nature03204, full text, supplement, interactive tutorial) 1.

  68. Doebeli, M., Hauert, Ch. & Killingback, T. (2004) The evolutionary origin of cooperators and defectors, Science 306 859-862.
    (doi: 10.1126/science.1101456, full text, supplement, interactive tutorial) 2.

  69. Hauert, Ch., Nagler, J. & Schuster, H. G. (2004) Of Dogs and Fleas: The dynamics of N uncoupled two-state systems, J. Stat. Phys. 116, 1453-1469.
    (doi: 10.1023/B:JOSS.0000041725.70622.c4, full text)

  70. Hauert, Ch., Haiden, N. & Sigmund, K. (2004) The Dynamics of Public Goods, DCDS-B, 4 (3) 575-587.
    (doi: 10.3934/dcdsb.2004.4.575, full text).

  71. Hauert, Ch. & Doebeli, M. (2004) Spatial structure often inhibits the evolution of cooperation in the Snowdrift game, Nature, 428, 643-646.
    (doi: 10.1038/nature02360, full text, supplement, interactive tutorial) 1, 2, 3.

  72. Brandt, H., Hauert, Ch. & Sigmund, K. (2003) Punishment and reputation in spatial public goods games, Proc. R. Soc. Lond. B 270, 1099-1104.
    (doi: 10.1098/rspb.2003.2336, full text, interactive tutorial).

  73. Hauert, Ch. & Szabó, G. (2003) Prisoner´s dilemma and public goods games in different geometries: compulsory versus voluntary interactions, Complexity 8, 31-38.
    (doi: 10.1002/cplx.10092, full text).

  74. Szabó, G. & Hauert, Ch. (2002) Evolutionary prisoner´s dilemma games with voluntary participation, Phys. Rev. E 66, 062903.
    (doi: 10.1103/PhysRevE.66.062903, full text) 1.

  75. Hauert, Ch. (2002) Effects of space in 2×2 games, Int. J. Bifurcation & Chaos 12, 1531-1548.
    (doi: 10.1142/S0218127402005273, full text, interactive tutorial).

  76. Hauert, Ch., De Monte, S., Hofbauer J. & Sigmund, K. (2002) Replicator dynamics for optional public goods games, J. Theor. Biol. 218, 187-194.
    (doi: 10.1006/jtbi.2002.3067, full text).

  77. Hauert, Ch. & Stenull, O. (2002) Simple adaptive strategy wins the prisoner´s dilemma, J. theor. Biol. 218, 261-272.
    (doi: 10.1006/jtbi.2002.3072, full text).

  78. Szabó, G. & Hauert, Ch. (2002) Phase transitions and volunteering in spatial public goods games, Phys. Rev. Lett. 89 118101.
    (doi: 10.1103/PhysRevLett.89.118101, full text) 1.

  79. Hauert, Ch., De Monte, S., Hofbauer J. & Sigmund, K. (2002) Volunteering as Red Queen Mechanism for Cooperation in Public Goods Game, Science 296, 1129-1132.
    (doi: 10.1126/science.1070582, full text, interactive tutorial).

  80. Sigmund, K. & Hauert, Ch. (2002) Altruism, Curr. Biol. 12, R270-R272.
    (doi: 10.1016/S0960-9822(02)00797-2, full text).

  81. Sigmund, K., Hauert, Ch. & Nowak, M. A. (2001) Reward and punishment, Proc. Natl. Acad. Sci. 98, 10757-10762.
    (doi: 10.1073/pnas.161155698, full text).

  82. Hauert, Ch. (2001) Fundamental clusters in spatial 2×2 games, Proc. R. Soc. Lond. B 268, 761-769.
    (doi: 10.1098/rspb.2000.1424, full text, interactive tutorial).

  83. Nagler, J., Hauert, C. & Schuster, H. G. (1999) Self-Organized Criticality in a Nutshell, Phys. Rev. E 60 3, 2706-2709.
    (doi: 10.1103/PhysRevE.60.2706, full text).

  84. Hauert, Ch. & Schuster, H. G. (1998) Extending the iterated Prisoner's Dilemma without synchrony, J. Theor. Biol. 192, 155-166.
    (doi: 10.1006/jtbi.1997.0590, full text).

  85. Hauert, Ch. & Schuster, H. G. (1997) Effects of increasing the number of players and memory steps in the iterated Prisoner's Dilemma, a numerical approach, Proc. R. Soc. Lond. B 264, 513-519.
    (doi: 10.1098/rspb.1997.0073, full text).

Books & Book Chapters

  1. Hauert, Ch. (2013) Mathematical Models of Cooperation in Evolution, Games and God: The Principle of Cooperation eds. Coakley, S. & Nowak, M. A., Harvard University Press: Cambridge MA, pp. 115-131.
    (ISBN: 9780674047976, abstract, preprint).

  2. Traulsen, A. & Hauert, Ch. (2009) Stochastic evolutionary game dynamics in Reviews of Nonlinear Dynamics and Complexity Vol. II ed. Schuster, H.-G., Wiley-VCH: Weinheim.
    (abstract, preprint)2.

  3. Hauert, Ch. (2008) Evolutionary Dynamics in Proceedings of the NATO Advanced Study Institute on Evolution from Cellular to Social Scales, eds. Skjeltorp, A. T. & Belushkin, A. V., Springer, Dordrecht, The Netherlands, pp. 11-44.
    (abstract, preprint).

  4. Hauert, Ch. (1999) Evolution of Cooperation: The Prisoner's Dilemma and its Applications as an Example, PhD thesis, University of Kiel (Germany), Shaker Verlag: Aachen.
    (ISBN: 978-3-8265-4875-8, order).

Software

  1. Hauert, C. (2025) EvoLudo: Evolutionary Dynamics Simulation Toolkit. doi: 10.5281/zenodo.14591549
    GitHub, Documentation, Tutorials.

  2. Izquierdo, L., Izquierdo, S., & Hauert, C. (2024). Pair approximation for 2x2 symmetric games on regular networks. doi: 10.5281/zenodo.10982949

  3. Izquierdo, L., Izquierdo, S., & Hauert, C. (2024). 3-strategy Replicator Dynamics with Selective Assortment. doi: 10.5281/zenodo.12763923

Invited articles

  1. Hauert, Ch. & Natalini, R. (2010) L'unione fa la forza, Newton 07, 104-107, September issue.
    (reprint 7.2MB, web).

  2. Jacquet, J., Hauert, C., Traulsen, A. & Milinski, M. (2012) Could shame and honor save cooperation?, Communicative & Integrative Biology 5 (2), 209-213.
    (abstract, full text)

On-line Material

Unpublished Work

Last updated on September 3, 2015 by Christoph Hauert.