Author
Listed:
- Hai Zhu
(School of Cyberspace, Hangzhou Dianzi University, Hangzhou 310018, P. R. China)
- Zhen Wang
(School of Cyberspace, Hangzhou Dianzi University, Hangzhou 310018, P. R. China)
- Qingyang Zhao
(School of Cyberspace, Hangzhou Dianzi University, Hangzhou 310018, P. R. China)
- Xing Jin
(School of Cyberspace, Hangzhou Dianzi University, Hangzhou 310018, P. R. China)
- Lanping Yu
(#x2020;School of Information Engineering, Hangzhou Dianzi University, Hangzhou 310018, P. R. China)
Abstract
Due to the heterogeneity of strategy updating rules progressively destroying the cluster of cooperators, cooperation would be heavily suppressed when players adopt mixed strategy updating rules. Thus, how to improve the emergence of cooperation with the scenario of heterogeneous strategy updating rules becomes an important open issue. In this paper, we introduce the memory factor into the game model, and then study the joint effect of memory and heterogeneous strategy updating rules on the emergence of cooperation. Detailly, in our game model, memory-based imitation and innovation are chosen as two different strategy updating rules. Afterwards, the annealing and quenching rules are specifically used as the methods to mix the proposed two memory-based strategy updating rules. At last, Monte Carlo simulations are conducted to demonstrate the significance of our model. The simulation results show that for memory-based imitators, memory is not always effective in promoting cooperation. It’s more like a catalyst. When the proportion of the memory-based imitation is large, it promotes the emergence of cooperation. When the proportion of innovation is large, it accelerates the extinction of cooperation; for overall proportion of cooperation, memory effectively promotes the emergence of cooperation and improves the ability of cooperators to resist high temptation, but memory is a partial optimization, it cannot offset the deterioration of cooperation caused by heterogeneous strategies updating rules, memory only reduces the degree of deterioration. Finally, compared with the annealing rule, the change of quenching rule is more smooth, because it is easier for cooperators to form clusters under the quenching rule. Our investigation sheds some light to the role of memory in prisoner’s dilemma game under heterogeneous strategies updating rules.
Suggested Citation
Hai Zhu & Zhen Wang & Qingyang Zhao & Xing Jin & Lanping Yu, 2020.
"The effect of memory in prisoner’s dilemma game under multi-strategy update mechanism,"
International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(06), pages 1-14, June.
Handle:
RePEc:wsi:ijmpcx:v:31:y:2020:i:06:n:s0129183120500771
DOI: 10.1142/S0129183120500771
Download full text from publisher
As the access to this document is restricted, you may want to
for a different version of it.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:06:n:s0129183120500771. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
We have no bibliographic references for this item. You can help adding them by using this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .
Please note that corrections may take a couple of weeks to filter through
the various RePEc services.