Research on Psychological Crisis Intervention Strategies under Emergencies: An Analysis Based on the Four-Party Evolutionary Game
Abstract
:1. Introduction
2. Literature Review
3. Construction and Analysis of Multi-Subject Game Models for Psychological Crisis Intervention under Emergencies
3.1. Theoretical Foundation
3.2. Multi-Subject Analysis of Psychological Crisis Intervention
3.2.1. Government
3.2.2. Medical Institutions
3.2.3. Community
3.2.4. The Public
3.3. Multi-Subject Evolutionary Game Model Construction
3.3.1. Basic Assumptions
3.3.2. Benefit Matrix Construction and Parameter Description
3.4. Analysis of the Stability of Each Game Subject’s Strategy
3.4.1. Analysis of the Stability of Government Strategies
3.4.2. Analysis of the Stability of Medical Institutions Strategies
3.4.3. Analysis of the Stability of Community Strategies
3.4.4. Analysis of the Stability of the Public Strategies
3.5. Stability Analysis of Strategy Combination Evolution
3.5.1. Analysis of the Stability of the Strategy Combinations under Government
Strict Regulation
3.5.2. Analysis of the Stability of Strategy Combinations under Government
Loose Regulation
4. Analysis of Simulation Results
4.1. Numerical Simulation Analysis of Stable Equilibrium Point
4.2. Analysis of the Impact of Government Strict Regulation Costs
4.3. Analysis of the Impact of Being Penalized by Superiors Due to Unfavorable
Government Regulation
4.4. Analysis of the Impact of the Costs of Adopting Positive Behaviors in the Medical Institution and Community, and of Government Rewards and Penalties
4.5. Stability Point Simulation Analysis of Combined Strategies
5. Discussion
6. Conclusions
6.1. Main Findings
6.2. Policy Recommendations
6.3. Limitation and Future Direction
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Strategy | Community | ||||||
---|---|---|---|---|---|---|---|
The Public | The Public | ||||||
Government | Medical institution | ||||||
Medical institution | |||||||
Strategy | Community | ||||||
---|---|---|---|---|---|---|---|
The Public | The Public | ||||||
Government | Medical institution | ||||||
Medical institution | |||||||
Equilibrium Point | Eigenvalue λ1, λ2, λ3, λ4 | Positivity and Negativity | Stability |
---|---|---|---|
(1,0,0,0) | − C2 − B4 − C3 − B5 + R2, C1 − L1 − L2 − R1 − R2, R1 + C4 + R2 + θR1 + θR2 | (U, U, U, +) | instability |
(1,0,0,1) | − C2 − B4 − C3 − B5 + R2, C4 + R1 + R2 + θR1 + θR2, C1 − L1 − L2 − L3 − θR1 − θR2 | (U, U, +, U) | instability |
(1,0,1,0) | R1 + C4 + θR1, B5 + C3 − − R2, C1 − L1 − L2 − R1, B2 − B4 − C2 + L1 + R1 | (+, U, U, U) | instability |
(1,0,1,1) | C4 + R1 + θR1, B5 + C3 − − R2, C1 − L1 − L2 − L3 − θR1, B2 − B4 − C2 + L1 + R1 | (+, U, U, U) | instability |
(1,1,0,0) | R2 + C4 + θR2, B4 + C2 − − R1, C1 − L1 − L2 − R2, B3 − B5 − C3 + L2 + R2 | (+, U, U, U) | instability |
(1,1,0,1) | C4 + R2 + θR2, B4 + C2 − − R1, C1 − L1 − L2 − L3 − θR2, B3 − B5 − C3 + L2 + R2 | (+, U, U, U) | instability |
(1,1,1,0) | −C4 − L1 − R1, B5 − B3 + C3 − − L2 − R2 | (−, U, U, U) | ESS (condition 1) |
(1,1,1,1) | C4, B2 + B3 + C1−L3, B4−B2 + C2 − − L1 − R1, B5 − B3 − L2 − R2 | (+, U, U, U) | instability |
Equilibrium Point | Eigenvalue λ1, λ2, λ3, λ4 | Positivity and Negativity | Stability |
---|---|---|---|
(0,0,0,0) | −B4 − C2, −B5 − C3, R1 − C4 + R2, L1 + C1 + L2 + R1 + R2 | (−, −, U, +) | instability |
(0,0,0,1) | C4 − R1 − R2 − C2 − B4 + − C3 − B5 + R2, L1 + C1 + L2 + L3 + θR1 + θR2 | (U, U, U, +) | instability |
(0,0,1,0) | R1 − C4, −B4 − C2, B5 + C3, L1 − C1 + L2 + R1 | (U, −, +, U) | instability |
(0,0,1,1) | C4 + − C2 − B4 + R1, B5 + C3 − − R2, L1 − C1 + L2 + L3 + θR1 | (+, U, U, U) | instability |
(0,1,0,0) | R2 − C4, −B5 − C3, B4 + C2, L1 − C1 + L2 + R2 | (U, −, +, U) | instability |
(0,1,0,1) | C4 + R2, B4 + C2 − − R1 − C3 − B5 + R2, L1 − C1 + L2 + L3 + θR2 | (+, U, U, U) | instability |
(0,1,1,0) | −C4, B4 − C2, B5 − C3, −B2 − B3 − C1 | (−, U, U, −) | ESS (condition 2) |
(0,1,1,1) | C4, B4 + C2 − − R1, B5 + C3 − − R2, L3 − B3 − C1 − B2 | (+, U, U, U) | instability |
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Chen, L.; Li, H.; Tian, F.; Xie, C.; Zhao, L. Research on Psychological Crisis Intervention Strategies under Emergencies: An Analysis Based on the Four-Party Evolutionary Game. Sustainability 2023, 15, 15226. https://doi.org/10.3390/su152115226
Chen L, Li H, Tian F, Xie C, Zhao L. Research on Psychological Crisis Intervention Strategies under Emergencies: An Analysis Based on the Four-Party Evolutionary Game. Sustainability. 2023; 15(21):15226. https://doi.org/10.3390/su152115226
Chicago/Turabian StyleChen, Lei, Hongxia Li, Fangyuan Tian, Can Xie, and Lin Zhao. 2023. "Research on Psychological Crisis Intervention Strategies under Emergencies: An Analysis Based on the Four-Party Evolutionary Game" Sustainability 15, no. 21: 15226. https://doi.org/10.3390/su152115226