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For: Ohtsuki H, Nowak MA. Evolutionary stability on graphs. J Theor Biol 2008;251:698-707. [PMID: 18295801 DOI: 10.1016/j.jtbi.2008.01.005] [Citation(s) in RCA: 91] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2007] [Revised: 01/09/2008] [Accepted: 01/11/2008] [Indexed: 11/28/2022]
Number Cited by Other Article(s)
1
Mullon C, Peña J, Lehmann L. The evolution of environmentally mediated social interactions and posthumous spite under isolation by distance. PLoS Comput Biol 2024;20:e1012071. [PMID: 38814981 PMCID: PMC11139344 DOI: 10.1371/journal.pcbi.1012071] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/22/2023] [Accepted: 04/11/2024] [Indexed: 06/01/2024]  Open
2
Zheng Y, Mei L. How to promote the adoption of intelligent spray technology in farmers' cooperatives? --Based on the perspective of evolutionary game. Heliyon 2023;9:e19897. [PMID: 37809391 PMCID: PMC10559292 DOI: 10.1016/j.heliyon.2023.e19897] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/19/2023] [Revised: 08/31/2023] [Accepted: 09/05/2023] [Indexed: 10/10/2023]  Open
3
Bhattacharjee S, Dubey VK, Mukhopadhyay A, Chakraborty S. Periodic orbits in deterministic discrete-time evolutionary game dynamics: An information-theoretic perspective. Phys Rev E 2023;107:064405. [PMID: 37464624 DOI: 10.1103/physreve.107.064405] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/10/2022] [Accepted: 05/30/2023] [Indexed: 07/20/2023]
4
Schmid L, Ekbatani F, Hilbe C, Chatterjee K. Quantitative assessment can stabilize indirect reciprocity under imperfect information. Nat Commun 2023;14:2086. [PMID: 37045828 PMCID: PMC10097696 DOI: 10.1038/s41467-023-37817-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2022] [Accepted: 03/24/2023] [Indexed: 04/14/2023]  Open
5
Universal scaling of extinction time in stochastic evolutionary dynamics. Sci Rep 2022;12:22403. [PMID: 36575301 PMCID: PMC9794815 DOI: 10.1038/s41598-022-27102-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/18/2022] [Accepted: 12/26/2022] [Indexed: 12/28/2022]  Open
6
Coggan H, Page KM. The role of evolutionary game theory in spatial and non-spatial models of the survival of cooperation in cancer: a review. JOURNAL OF THE ROYAL SOCIETY, INTERFACE 2022;19:20220346. [PMID: 35975562 PMCID: PMC9382458 DOI: 10.1098/rsif.2022.0346] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
7
Li Z, Chen X, Yang HX, Szolnoki A. Game-theoretical approach for opinion dynamics on social networks. CHAOS (WOODBURY, N.Y.) 2022;32:073117. [PMID: 35907745 DOI: 10.1063/5.0084178] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/04/2022] [Accepted: 06/21/2022] [Indexed: 06/15/2023]
8
Schmid L, Shati P, Hilbe C, Chatterjee K. The evolution of indirect reciprocity under action and assessment generosity. Sci Rep 2021;11:17443. [PMID: 34465830 PMCID: PMC8408181 DOI: 10.1038/s41598-021-96932-1] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/08/2021] [Accepted: 08/17/2021] [Indexed: 11/08/2022]  Open
9
Renton J, Page KM. Evolution of cooperation in an epithelium. J R Soc Interface 2020;16:20180918. [PMID: 30913980 PMCID: PMC6451401 DOI: 10.1098/rsif.2018.0918] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]  Open
10
Chen X, Brännström Å, Dieckmann U. Parent-preferred dispersal promotes cooperation in structured populations. Proc Biol Sci 2020;286:20181949. [PMID: 30963948 DOI: 10.1098/rspb.2018.1949] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
11
Wang X, Gu C, Zhao J, Quan J. Evolutionary game dynamics of combining the imitation and aspiration-driven update rules. Phys Rev E 2019;100:022411. [PMID: 31574646 DOI: 10.1103/physreve.100.022411] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/14/2019] [Indexed: 06/10/2023]
12
Wang XJ, Gu CL, Quan J. Evolutionary game dynamics of the Wright-Fisher process with different selection intensities. J Theor Biol 2019;465:17-26. [PMID: 30629962 DOI: 10.1016/j.jtbi.2019.01.006] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2018] [Revised: 10/17/2018] [Accepted: 01/07/2019] [Indexed: 10/27/2022]
13
Cassese D. Replicator equation on networks with degree regular communities. APPLIED NETWORK SCIENCE 2018;3:29. [PMID: 30839808 PMCID: PMC6214305 DOI: 10.1007/s41109-018-0083-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/08/2018] [Accepted: 07/13/2018] [Indexed: 06/09/2023]
14
Liu X, Pan Q, He M. Promotion of cooperation in evolutionary game dynamics with local information. J Theor Biol 2018;437:1-8. [PMID: 29031517 DOI: 10.1016/j.jtbi.2017.10.013] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/17/2017] [Revised: 09/07/2017] [Accepted: 10/12/2017] [Indexed: 11/15/2022]
15
Hu H. Competing opinion diffusion on social networks. ROYAL SOCIETY OPEN SCIENCE 2017;4:171160. [PMID: 29291101 PMCID: PMC5717675 DOI: 10.1098/rsos.171160] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/16/2017] [Accepted: 10/02/2017] [Indexed: 05/14/2023]
16
Van Cleve J. Stags, Hawks, and Doves: Social Evolution Theory and Individual Variation in Cooperation. Integr Comp Biol 2017;57:566-579. [DOI: 10.1093/icb/icx071] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]  Open
17
Altrock PM, Traulsen A, Nowak MA. Evolutionary games on cycles with strong selection. Phys Rev E 2017;95:022407. [PMID: 28297871 DOI: 10.1103/physreve.95.022407] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/19/2016] [Indexed: 05/23/2023]
18
Keane C. Chaos in collective health: Fractal dynamics of social learning. J Theor Biol 2016;409:47-59. [DOI: 10.1016/j.jtbi.2016.08.039] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2015] [Revised: 08/19/2016] [Accepted: 08/30/2016] [Indexed: 10/21/2022]
19
Morsky B, Bauch CT. Truncation selection and payoff distributions applied to the replicator equation. J Theor Biol 2016;404:383-390. [PMID: 27343031 DOI: 10.1016/j.jtbi.2016.06.020] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/02/2015] [Revised: 06/15/2016] [Accepted: 06/16/2016] [Indexed: 10/21/2022]
20
Sui X, Wu B, Wang L. Speed of evolution on graphs. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015;92:062124. [PMID: 26764649 DOI: 10.1103/physreve.92.062124] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/17/2015] [Indexed: 06/05/2023]
21
Sugiarto HS, Chung NN, Lai CH, Chew LY. Socioecological regime shifts in the setting of complex social interactions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015;91:062804. [PMID: 26172751 DOI: 10.1103/physreve.91.062804] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/23/2015] [Indexed: 06/04/2023]
22
Wu ZX, Rong Z, Yang HX. Impact of heterogeneous activity and community structure on the evolutionary success of cooperators in social networks. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015;91:012802. [PMID: 25679652 DOI: 10.1103/physreve.91.012802] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/15/2014] [Indexed: 06/04/2023]
23
Cui P, Wu ZX. Selfish punishment with avoiding mechanism can alleviate both first-order and second-order social dilemma. J Theor Biol 2014;361:111-23. [DOI: 10.1016/j.jtbi.2014.07.021] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/09/2014] [Revised: 06/26/2014] [Accepted: 07/19/2014] [Indexed: 10/25/2022]
24
Kurvers RHJM, Krause J, Croft DP, Wilson ADM, Wolf M. The evolutionary and ecological consequences of animal social networks: emerging issues. Trends Ecol Evol 2014;29:326-35. [PMID: 24792356 DOI: 10.1016/j.tree.2014.04.002] [Citation(s) in RCA: 140] [Impact Index Per Article: 14.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2013] [Revised: 03/16/2014] [Accepted: 04/04/2014] [Indexed: 10/25/2022]
25
Aristotelous AC, Durrett R. Chemical evolutionary games. Theor Popul Biol 2014;93:1-13. [PMID: 24513098 DOI: 10.1016/j.tpb.2014.02.001] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2013] [Revised: 01/22/2014] [Accepted: 02/02/2014] [Indexed: 11/24/2022]
26
Perception without self-matching in conditional tag based cooperation. J Theor Biol 2013;333:58-67. [DOI: 10.1016/j.jtbi.2013.04.027] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/10/2011] [Revised: 01/22/2013] [Accepted: 04/23/2013] [Indexed: 11/19/2022]
27
Li C, Zhang B, Cressman R, Tao Y. Evolution of cooperation in a heterogeneous graph: fixation probabilities under weak selection. PLoS One 2013;8:e66560. [PMID: 23818942 PMCID: PMC3688584 DOI: 10.1371/journal.pone.0066560] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/24/2012] [Accepted: 05/09/2013] [Indexed: 11/18/2022]  Open
28
Allen B, Nowak MA, Dieckmann U. Adaptive dynamics with interaction structure. Am Nat 2013;181:E139-63. [PMID: 23669549 DOI: 10.1086/670192] [Citation(s) in RCA: 43] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/04/2022]
29
Zukewich J, Kurella V, Doebeli M, Hauert C. Consolidating birth-death and death-birth processes in structured populations. PLoS One 2013;8:e54639. [PMID: 23382931 PMCID: PMC3557300 DOI: 10.1371/journal.pone.0054639] [Citation(s) in RCA: 62] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2012] [Accepted: 12/13/2012] [Indexed: 11/26/2022]  Open
30
Allen B, Nowak MA. Evolutionary shift dynamics on a cycle. J Theor Biol 2012;311:28-39. [PMID: 22814475 DOI: 10.1016/j.jtbi.2012.07.006] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/22/2011] [Revised: 06/26/2012] [Accepted: 07/06/2012] [Indexed: 01/06/2023]
31
Mobilia M. Stochastic dynamics of the prisoner's dilemma with cooperation facilitators. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012;86:011134. [PMID: 23005395 DOI: 10.1103/physreve.86.011134] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2012] [Indexed: 06/01/2023]
32
Allen B, Traulsen A, Tarnita CE, Nowak MA. How mutation affects evolutionary games on graphs. J Theor Biol 2012;299:97-105. [PMID: 21473871 PMCID: PMC3150603 DOI: 10.1016/j.jtbi.2011.03.034] [Citation(s) in RCA: 67] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/20/2011] [Revised: 03/27/2011] [Accepted: 03/29/2011] [Indexed: 11/16/2022]
33
Nowak MA. Evolving cooperation. J Theor Biol 2012;299:1-8. [PMID: 22281519 DOI: 10.1016/j.jtbi.2012.01.014] [Citation(s) in RCA: 165] [Impact Index Per Article: 13.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/05/2012] [Accepted: 01/08/2012] [Indexed: 11/29/2022]
34
André JB, Morin O. Questioning the cultural evolution of altruism. J Evol Biol 2011;24:2531-42. [PMID: 21995943 DOI: 10.1111/j.1420-9101.2011.02398.x] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
35
Shakarian P, Roos P, Johnson A. A review of evolutionary graph theory with applications to game theory. Biosystems 2011;107:66-80. [PMID: 22020107 DOI: 10.1016/j.biosystems.2011.09.006] [Citation(s) in RCA: 105] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2011] [Accepted: 09/26/2011] [Indexed: 11/29/2022]
36
Fogel GB, Fogel DB. Simulating natural selection as a culling mechanism on finite populations with the hawk-dove game. Biosystems 2011;104:57-62. [PMID: 21219966 DOI: 10.1016/j.biosystems.2011.01.002] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2010] [Revised: 12/30/2010] [Accepted: 01/02/2011] [Indexed: 11/27/2022]
37
Hilbe C. Local replicator dynamics: a simple link between deterministic and stochastic models of evolutionary game theory. Bull Math Biol 2010;73:2068-87. [PMID: 21181502 DOI: 10.1007/s11538-010-9608-2] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2010] [Accepted: 11/04/2010] [Indexed: 11/24/2022]
38
Fu F, Nowak MA, Hauert C. Invasion and expansion of cooperators in lattice populations: prisoner's dilemma vs. snowdrift games. J Theor Biol 2010;266:358-66. [PMID: 20619271 DOI: 10.1016/j.jtbi.2010.06.042] [Citation(s) in RCA: 77] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2010] [Revised: 04/23/2010] [Accepted: 06/30/2010] [Indexed: 10/19/2022]
39
Wang Y, Han HC, Yang JY, Lindsey ML, Jin Y. A conceptual cellular interaction model of left ventricular remodelling post-MI: dynamic network with exit-entry competition strategy. BMC SYSTEMS BIOLOGY 2010;4 Suppl 1:S5. [PMID: 20522255 PMCID: PMC2880411 DOI: 10.1186/1752-0509-4-s1-s5] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
40
Nowak MA, Tarnita CE, Antal T. Evolutionary dynamics in structured populations. Philos Trans R Soc Lond B Biol Sci 2010;365:19-30. [PMID: 20008382 PMCID: PMC2842709 DOI: 10.1098/rstb.2009.0215] [Citation(s) in RCA: 339] [Impact Index Per Article: 24.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]  Open
41
Tarnita CE, Ohtsuki H, Antal T, Fu F, Nowak MA. Strategy selection in structured populations. J Theor Biol 2009;259:570-81. [PMID: 19358858 PMCID: PMC2710410 DOI: 10.1016/j.jtbi.2009.03.035] [Citation(s) in RCA: 153] [Impact Index Per Article: 10.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2008] [Revised: 03/18/2009] [Accepted: 03/23/2009] [Indexed: 11/25/2022]
42
Voelkl B, Kasper C. Social structure of primate interaction networks facilitates the emergence of cooperation. Biol Lett 2009;5:462-4. [PMID: 19443505 DOI: 10.1098/rsbl.2009.0204] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
43
Kun Á, Scheuring I. Evolution of cooperation on dynamical graphs. Biosystems 2009;96:65-8. [DOI: 10.1016/j.biosystems.2008.11.009] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/27/2008] [Revised: 11/19/2008] [Accepted: 11/20/2008] [Indexed: 11/16/2022]
44
Floría LM, Gracia-Lázaro C, Gómez-Gardeñes J, Moreno Y. Social network reciprocity as a phase transition in evolutionary cooperation. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009;79:026106. [PMID: 19391805 DOI: 10.1103/physreve.79.026106] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/27/2008] [Revised: 11/26/2008] [Indexed: 05/27/2023]
45
Wang J, Wu B, Wang L, Fu F. Consensus of population systems with community structures. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2008;78:051923. [PMID: 19113171 DOI: 10.1103/physreve.78.051923] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/27/2008] [Revised: 10/06/2008] [Indexed: 05/27/2023]
46
Sekiguchi T, Nakamaru M. Effect of the presence of empty sites on the evolution of cooperation by costly punishment in spatial games. J Theor Biol 2008;256:297-304. [PMID: 18952110 DOI: 10.1016/j.jtbi.2008.09.025] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/12/2008] [Revised: 09/24/2008] [Accepted: 09/25/2008] [Indexed: 11/18/2022]
47
One-third rules with equality: Second-order evolutionary stability conditions in finite populations. J Theor Biol 2008;254:616-20. [PMID: 18625246 DOI: 10.1016/j.jtbi.2008.06.009] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2008] [Revised: 05/23/2008] [Accepted: 06/05/2008] [Indexed: 11/23/2022]
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