Lianzhong Zhang
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Lianzhong Zhang has a total of 38 co-authors. Here are the top co-authors by number of shared publications:
- Zhaojin Xu
Tianjin University of Technology
6 shared publications Zhaojin Xu
School of Science, Tianjin University of Technology, Tianjin 300384, China
4 shared publications- Luhe Yang
Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun 130052, China
3 shared publications Zhen Wang
School of Physics NanKai University 300071 Tianjin P.R. China
3 shared publications- Duoxing Yang
National Institute of Natural Hazards, Ministry of Emergency Management of China, Beijing 100085, China
2 shared publications Deliang Zhang
1 shared publication
Latest Publications
- Open Access
Research on the Game Dynamics of Optional Public Goods
The public goods game (PGG) serves as a powerful framework for investigating human cooperative behavior. While prevailing theories emphasize imitation as the primary driver of strategy updating, evidence from an empirical study on voluntary spatial PGG revealed that human decision adjustments correlate more closely with historical payoffs than with imitative behavior. The objective of this study is to validate this conclusion and to quantify the optimal strategy-updating parameters through computational modeling. We develop an agent-based model on a lattice with periodic boundary conditions, integrating prospect theory with a mixed-strategy evolutionary framework. The model systematically examines the effects of the proportion of self-adjustment (POS), mutation rate (MIS), and sensitivity coefficient (SEN) on the stationary distribution of cooperators, defectors, and loners. Our main findings demonstrate that individuals update strategies primarily through self-adjustment based on historical payoffs, with imitation playing merely an auxiliary role. The optimal self-adjustment proportion is approximately 0.9, and low sensitivity coefficients and mutation rates favor the emergence of cooperation. These results provide quantitative support for the memory-based self-regulation mechanism and offer managerial insights into promoting cooperation in social dilemma situations.Open AccessResearch on the Game Dynamics of Optional Public Goods
The public goods game (PGG) serves as a powerful framework for investigating human cooperative behavior. While prevailing theories emphasize imitation as the primary driver of strategy updating, evidence from an empirical study on voluntary spatial PGG revealed that human decision adjustments correlate more closely with historical payoffs than with imitative behavior. The objective of this study is to validate this conclusion and to quantify the optimal strategy-updating parameters through computational modeling. We develop an agent-based model on a lattice with periodic boundary conditions, integrating prospect theory with a mixed-strategy evolutionary framework. The model systematically examines the effects of the proportion of self-adjustment (POS), mutation rate (MIS), and sensitivity coefficient (SEN) on the stationary distribution of cooperators, defectors, and loners. Our main findings demonstrate that individuals update strategies primarily through self-adjustment based on historical payoffs, with imitation playing merely an auxiliary role. The optimal self-adjustment proportion is approximately 0.9, and low sensitivity coefficients and mutation rates favor the emergence of cooperation. These results provide quantitative support for the memory-based self-regulation mechanism and offer managerial insights into promoting cooperation in social dilemma situations. - Open Access
- 20 January 2026
- Published by Elsevier in Applied Mathematics and Computation
- Vol. 521
Memory capacity and decision preference co-shape cooperation in public goods games
- 20 January 2026
- Published by Elsevier in Applied Mathematics and Computation
- Vol. 521
Open AccessMemory capacity and decision preference co-shape cooperation in public goods games
- 24 February 2023
- Published by Elsevier in BioSystems
- Vol. 226, 104868
The promoting effect of adaptive persistence aspiration on the cooperation based on the consideration of payoff and environment in prisoner's dilemma game
- 24 February 2023
- Published by Elsevier in BioSystems
- Vol. 226, 104868
The promoting effect of adaptive persistence aspiration on the cooperation based on the consideration of payoff and environment in prisoner's dilemma game
- Open Access
- 5 May 2022
- Published by MDPI AG in Mathematics
- Vol. 10 (9) , 1550
The Effect of Bounded Rationality on Human Cooperation with Voluntary Participation
The evolution of human cooperation is an important issue concerning social science. A deep understanding of human bounded rationality is a prerequisite for promoting collective cooperation and solving social dilemmas. Here we construct an asymmetric micro-dynamic based on bounded rationality from a micro perspective by combining behavioral economics and cognitive psychology with evolutionary game theory. Asynchronously updated Monte Carlo simulations were conducted where individuals were located on a square lattice to play a voluntary public goods game. The results showed that “free riding” behaviors can be effectively suppressed in most situations. The cooperation level can be obviously enhanced in a population comprising easily satisfied cooperators and greedy defectors. Moreover, essential conditions for the stability of the system are further discussed at the microscopic level, and altruistic behavior can be explained that an individual with lower expectations for or underestimation of a single game is more likely to cooperate. We argue that, compared to traditional approaches, the integration of interdisciplinary ideas should be taken more seriously.
- 5 May 2022
- Published by MDPI AG in Mathematics
- Vol. 10 (9) , 1550
Open AccessThe Effect of Bounded Rationality on Human Cooperation with Voluntary Participation
The evolution of human cooperation is an important issue concerning social science. A deep understanding of human bounded rationality is a prerequisite for promoting collective cooperation and solving social dilemmas. Here we construct an asymmetric micro-dynamic based on bounded rationality from a micro perspective by combining behavioral economics and cognitive psychology with evolutionary game theory. Asynchronously updated Monte Carlo simulations were conducted where individuals were located on a square lattice to play a voluntary public goods game. The results showed that “free riding” behaviors can be effectively suppressed in most situations. The cooperation level can be obviously enhanced in a population comprising easily satisfied cooperators and greedy defectors. Moreover, essential conditions for the stability of the system are further discussed at the microscopic level, and altruistic behavior can be explained that an individual with lower expectations for or underestimation of a single game is more likely to cooperate. We argue that, compared to traditional approaches, the integration of interdisciplinary ideas should be taken more seriously.
- 7 May 2019
- Published by Korean Physical Society in Journal of the Korean Physical Society
- Vol. 74 (9) , 831-837
Heterogeneity of Networks Promotes Cooperation in the Prisoner’s Dilemma and the Snowdrift Game
Complex networks are ubiquitous in real-world systems. In the last decade, the investigation of complex networks has received much attention. Most of this research suggests that the topological properties of networks have an important influence on the evolution of cooperation. In this paper, we used the prisoner’s dilemma game and snowdrift game as models to study the problem of cooperation evolution on heterogeneous random networks. We found that the heterogeneity of the networks plays a more important role in promoting cooperation than the average clustering coefficient and average path length of the networks do. The higher the heterogeneity of the networks is, the more conducive the emergence and spread of cooperation is. In addition, we found that increasing the average degree of networks would be detrimental for cooperation to thrive.
- 7 May 2019
- Published by Korean Physical Society in Journal of the Korean Physical Society
- Vol. 74 (9) , 831-837
Heterogeneity of Networks Promotes Cooperation in the Prisoner’s Dilemma and the Snowdrift Game
Complex networks are ubiquitous in real-world systems. In the last decade, the investigation of complex networks has received much attention. Most of this research suggests that the topological properties of networks have an important influence on the evolution of cooperation. In this paper, we used the prisoner’s dilemma game and snowdrift game as models to study the problem of cooperation evolution on heterogeneous random networks. We found that the heterogeneity of the networks plays a more important role in promoting cooperation than the average clustering coefficient and average path length of the networks do. The higher the heterogeneity of the networks is, the more conducive the emergence and spread of cooperation is. In addition, we found that increasing the average degree of networks would be detrimental for cooperation to thrive.
- 28 April 2018
- Published by Korean Physical Society in Journal of the Korean Physical Society
- Vol. 72 (9) , 972-979
Non-Fixed Investment in Voluntary Public Goods Games
In this work, we introduce a non-fixed investment ratio to the public goods games in which players can determine whether or not to participate and how much money to invest into the common pool, and with it a new mechanism has been established. We explicitly demonstrate a different rockscissors- paper dynamics which is a consequence of this model. Meanwhile, it is shown how the mechanism of non-fixed investment ratio influences the players’ decision. In addition, we found that the length of memory has an important effect on the average payoff of the population by this introduction.
- 28 April 2018
- Published by Korean Physical Society in Journal of the Korean Physical Society
- Vol. 72 (9) , 972-979
Non-Fixed Investment in Voluntary Public Goods Games
In this work, we introduce a non-fixed investment ratio to the public goods games in which players can determine whether or not to participate and how much money to invest into the common pool, and with it a new mechanism has been established. We explicitly demonstrate a different rockscissors- paper dynamics which is a consequence of this model. Meanwhile, it is shown how the mechanism of non-fixed investment ratio influences the players’ decision. In addition, we found that the length of memory has an important effect on the average payoff of the population by this introduction.
- 1 February 2018
- Published by Korean Physical Society in Journal of the Korean Physical Society
- Vol. 72 (4) , 480-484
Evolutionary Public Goods Game on Evolving Random Networks
In this paper, we investigated the public goods game (PGG) on evolving random networks by introducing informed cooperators ( IC) who can adjust their local topology of networks according to the...
- 1 February 2018
- Published by Korean Physical Society in Journal of the Korean Physical Society
- Vol. 72 (4) , 480-484
Evolutionary Public Goods Game on Evolving Random Networks
In this paper, we investigated the public goods game (PGG) on evolving random networks by introducing informed cooperators ( IC) who can adjust their local topology of networks according to the...
- 6 August 2017
- Published by Korean Physical Society in Journal of the Korean Physical Society
- Vol. 71 (12) , 861-865
Partner choice cooperation in prisoner’s dilemma
In this paper, we investigated the cooperative behavior in prisoner’s dilemma when the individual behaviors and interaction structures could coevolve. Here, we study the model that the individuals can imitate the strategy of their neighbors and rewire their social ties throughout evolution, based exclusively on a fitness comparison. We find that the cooperation can be achieved if the time scale of network adaptation is large enough, even when the social dilemma strength is very strong. Detailed investigation shows that the presence or absence of the network adaptation has a profound impact on the collective behavior in the system.
- 6 August 2017
- Published by Korean Physical Society in Journal of the Korean Physical Society
- Vol. 71 (12) , 861-865
Partner choice cooperation in prisoner’s dilemma
In this paper, we investigated the cooperative behavior in prisoner’s dilemma when the individual behaviors and interaction structures could coevolve. Here, we study the model that the individuals can imitate the strategy of their neighbors and rewire their social ties throughout evolution, based exclusively on a fitness comparison. We find that the cooperation can be achieved if the time scale of network adaptation is large enough, even when the social dilemma strength is very strong. Detailed investigation shows that the presence or absence of the network adaptation has a profound impact on the collective behavior in the system.
- Open Access
- 1 January 2016
- Published by Inderscience Publishers in Progress in Computational Fluid Dynamics, An International Journal
- Vol. 16 (5) , 281
Numerical analysis of confined flow past permeable square cylinder with CE/SE method
The unsteady flow field past a two-dimensional permeable square cylinder was predicted by an updated CE/SE method. The periodic patterns of streamline and vortex shedding were obtained. The evolution of lift and drag coefficients were analysed. Results of 2D computations were compared with the experimental data. It found that the Reynolds number dominated the magnitude and frequency of the vorticity given porosity and Darcy number. It proved that the CE/SE method was an effective tool for predicting viscous flows in porous media.
- 1 January 2016
- Published by Inderscience Publishers in Progress in Computational Fluid Dynamics, An International Journal
- Vol. 16 (5) , 281
Open AccessNumerical analysis of confined flow past permeable square cylinder with CE/SE method
The unsteady flow field past a two-dimensional permeable square cylinder was predicted by an updated CE/SE method. The periodic patterns of streamline and vortex shedding were obtained. The evolution of lift and drag coefficients were analysed. Results of 2D computations were compared with the experimental data. It found that the Reynolds number dominated the magnitude and frequency of the vorticity given porosity and Darcy number. It proved that the CE/SE method was an effective tool for predicting viscous flows in porous media.
- 1 November 2014
- Published by IOP Publishing in Communications in Theoretical Physics
- Vol. 62 (5) , 649-654
Punishment Mechanism with Self-Adjusting Rules in Spatial Voluntary Public Goods Games
- 1 November 2014
- Published by IOP Publishing in Communications in Theoretical Physics
- Vol. 62 (5) , 649-654
Punishment Mechanism with Self-Adjusting Rules in Spatial Voluntary Public Goods Games