|
|
|
Evolutionary game dynamics of combining two different aspiration-driven update rules in structured populations |
| Zhi-Hao Yang(杨智昊) and Yan-Long Yang(杨彦龙)† |
| Mathematics and Statistics School, Guizhou University, Guiyang 550025, China |
|
|
|
|
Abstract In evolutionary games, most studies on finite populations have focused on a single updating mechanism. However, given the differences in individual cognition, individuals may change their strategies according to different updating mechanisms. For this reason, we consider two different aspiration-driven updating mechanisms in structured populations: satisfied-stay unsatisfied shift (SSUS) and satisfied-cooperate unsatisfied defect (SCUD). To simulate the game player's learning process, this paper improves the particle swarm optimization algorithm, which will be used to simulate the game player's strategy selection, i.e., population particle swarm optimization (PPSO) algorithms. We find that in the prisoner's dilemma, the conditions that SSUS facilitates the evolution of cooperation do not enable cooperation to emerge. In contrast, SCUD conditions that promote the evolution of cooperation enable cooperation to emerge. In addition, the invasion of SCUD individuals helps promote cooperation among SSUS individuals. Simulated by the PPSO algorithm, the theoretical approximation results are found to be consistent with the trend of change in the simulation results.
|
Received: 08 November 2023
Revised: 05 January 2024
Accepted manuscript online: 22 January 2024
|
|
PACS:
|
02.50.Le
|
(Decision theory and game theory)
|
| |
02.05.Ga
|
|
| |
05.45.Pq
|
(Numerical simulations of chaotic systems)
|
|
| Fund: Project supported by the Doctoral Foundation Project of Guizhou University (Grant No. (2019)49), the National Natural Science Foundation of China (Grant No. 71961003), and the Science and Technology Program of Guizhou Province (Grant No. 7223). |
Corresponding Authors:
Yan-Long Yang
E-mail: yylong1980@163.com
|
Cite this article:
Zhi-Hao Yang(杨智昊) and Yan-Long Yang(杨彦龙) Evolutionary game dynamics of combining two different aspiration-driven update rules in structured populations 2024 Chin. Phys. B 33 050203
|
[1] Zelenski J M, Dopko R L and Capaldi C A 2015 J. Environ. Psychol. 42 01005
[2] Cheney D L 2011 Proc. Natl. Acad. Sci. USA 108 10902
[3] Nowak M A 2006 Science 314 5805
[4] Axelrod R, William D and Hamilton 1981 Science 211 4489
[5] Santos F C and Pacheco J M 2005 Phys. Rev. Lett. 95 098104
[6] SzabóG, Vukov J and Szolnoki A 2005 Phys. Rev. E 72 047107
[7] Sugiarto H S, Lansing J S, Chung N N, et al. 2017 Phys. Rev. E 118 208301
[8] Veelen M V, García J, Martin A, et al. 2012 Phys. Rev. E 25 109
[9] Roca C P, Cuesta J A and Sánchez A 2009 Phys. Life. Rev. 6 208
[10] Tarnita C E, Ohtsuki H, Antal T, et al. 2009 J. Theor. Biol. 259 570
[11] Allen B and Nowak M A 2014 EMS Surv. Math. Sci. 1 113
[12] Altrock P M and Traulsen A 2009 Phys. Rev. E 80 011909
[13] Fudenberg D, Nowak M A and Taylor C 2006 Theor. Popul. Biol. 70 352
[14] Antal T and Scheuring I 2006 Bull. Math. Biol. 68 1923
[15] Lieberman E, Hauert C and Nowak M 2005 Nature 433 312
[16] Traulsen A, Claussen J C and Hauert C 2005 Phys. Rev. Lett. 95 238701
[17] Traulsen A, Nowak M A and Pacheco J M 2007 Theor. Biol. 244 349
[18] Altrock P M and Traulsen A 2009 New J. Phys. 111 013012
[19] Liu X S, He M F and Kang Y B 2017 Physica A 484 336
[20] Traulsen A,Pacheco J M and Nowak M A 2007 J. Theor. Biol. 246 522
[21] Du J M, Wu B and Wang L 2015 Sci. Rep. 5 8014
[22] Du J M, Wu B and Altrock P M 2014 J. R. Soc. Interface 11 20140077
[23] Liu X S, He M F, Kang Y B, et al. 2016 Phys. Rev. E 94 012124
[24] Platkowski T 2009 Appl. Math. Lett. 22 1161
[25] Wu T, Fu F and Wang L 2018 New J. Phys. 20 063007
[26] Arefin M R and Tanimoto J 2020 Phys. Rev. E 102 032120
[27] Wang X J, Gu C L, Lv S J, et al. 2019 Chin. Phys. B 28 020203
[28] Zhou L, Wu B, Du J, et al. 2021 Nat. Commun. 12 3025
[29] Lim I S and Wittek P 2018 Phys. Rev. E 98 062113
[30] Wang X J, Gu C, Zhao J H, et al. 2019 Phys. Rev. E 100 022411
[31] Liu X S, Pan Q H, Kang Y B, et al. 2015 J. Theor. Biol. 364 242
[32] Liu X S, Pan Q H, Kang Y B, et al. 2017 Physica A 484 336
[33] Shi Y and Eberhart R 1998 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No. 98TH8360), Anchorage, AK, USA, 1998, pp. 69-73
[34] Franken N and Engelbrecht A P 2005 IEEE Trans. Evolut. Comput. 9 562
[35] Riechmann T 2001 J. Econ. Dyn. Control 25 1019
[36] Roughgarden J, Gilbert S F, Rosenberg E, et al. 2018 Biol. Theory 13 44
[37] Clerc M 1999 Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406), Washington, DC, USA, 1999, vol. 3 pp. 1951-1957
[38] Liu W B and Wang X J 2008 J. Comput. Appl. Math. 214 30
[39] Du J, Wu B and Wang L 2015 Sci. Rep. 5 8014
[40] Zhou L, Wu B and Du J, et al. 2021 Nat. Commun. 12 3250
[41] Eberhart R and Kennedy J 1995 MHS’95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science, Nagoya, Japan, 1995, pp. 39-43
[42] Liu Y, Chen X, Wang L, et al. 2011 Europhys. Lett. 94 60002
[43] Shen C, Chu C, Shi L, et al. 2018 R. Soc. Open Sci. 5 180199
[44] Du J, Wu B and Wang L 2015 Sci. Rep. 5 8014 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
