Evolutionary Game Analysis of the Mutual Trust Dilemma in Health Data Circulation: A Symmetry Perspective on Supply and Demand
Abstract
1. Introduction
2. Game Model
2.1. Problem Description
2.2. Basic Assumptions
2.3. Replicator Dynamics Equations
2.4. Strategy Stability Analysis
3. Simulation Analysis
3.1. Initial Values and Simulation Setup
3.2. Simulation Analysis of Mutual Trust Pathways Between Supply and Demand Sides
3.2.1. The Impact of an Increase in the Regulator’s Trust Benefit Under Strong Regulation on Evolutionary Outcomes
3.2.2. The Impact of an Increase in the Penalty on Low-Quality Supply by the Data Supplier on Evolutionary Outcomes
3.2.3. The Impact of an Increase in the Penalty on Non-Compliant Use by the Data Demander on Evolutionary Outcomes
3.2.4. The Impact of an Increase in the Additional Benefit from Non-Compliant Use by the Data Demander on Evolutionary Outcomes
3.2.5. The Impact of Changes in Other Parameters on Evolutionary Outcomes
3.3. Sensitivity Analysis of Other Parameters
3.3.1. The Impact of Changes in and on Evolutionary Outcomes
3.3.2. The Impact of Changes in and on Evolutionary Outcomes
3.3.3. The Impact of Changes in and on Evolutionary Outcomes
3.4. Summary of Sensitivity Analysis Results
4. Discussion
4.1. Discussion of Simulation Analysis Results
4.2. Further Discussion
4.3. Limitations
5. Conclusions and Recommendations
5.1. Summary and Conclusions
- No scenario, no circulation. Data utilization scenarios are the fundamental prerequisite for data circulation. The ability of both suppliers and demanders to benefit from these scenarios constitutes their fundamental motivation for participation. The primary scenarios for health data circulation and utilization include medical treatment, scientific research, and public health management. For profit-oriented organizations, the basic starting point for participation is typically economic gain, whereas for public-sector entities, it is generally public interest or even national interest. Respecting the diverse interest appeals of multiple stakeholders and creating corresponding data circulation scenarios is the fundamental precondition for a thriving data circulation ecosystem.
- No regulation, no trust. Due to the complex characteristics of health data, if regulators adopt weak regulation strategies, suppliers will choose low-quality supply due to technical barriers and privacy leakage risks, while demanders will choose non-compliant use when faced with high-profit temptations and low penalty risks. Under such circumstances, a trusted data circulation ecosystem cannot be established. Therefore, even with the support of technologies such as blockchain and privacy computing, strong regulation remains indispensable. Quick detection and enforcement mechanisms for defaults should be established, and specific regulatory measures, such as the setting of penalty amounts, should be aligned with the default benefits obtained by behavioral agents. However, this strong regulation should not be viewed as an unconditional remedy. As our analysis reveals, stringent regulatory measures may also raise participation costs and reduce the willingness of both suppliers and demanders to engage in data circulation, thereby creating a tension between promoting compliance and maintaining market vitality. This trade-off must be carefully considered in regulatory design, as excessively strict enforcement could paradoxically undermine the very cooperation it seeks to promote. This leads to our third conclusion regarding the balance between compliance promotion and cost control.
- Compliance and cost control, two sides of the same coin. While increasing default penalties, enhancing trust-related gains and losses, reducing compliance costs, and raising default costs can all regulate the behavior of both parties and promote mutual trust, these measures may also increase participation costs and reduce willingness to cooperate in Stage 1. Therefore, an effective balance must be achieved between “promoting compliance” and “controlling costs.” The participation costs of both parties should not be increased excessively in the pursuit of compliance, as this may reduce their motivation to participate and undermine the vitality of the data circulation ecosystem.
5.2. Policy Recommendations
5.2.1. Actively Explore and Create High-Benefit Health Data Circulation and Utilization Scenarios
5.2.2. Promote the Construction of Trusted Health Data Spaces and Establish a Comprehensive and Intelligent Regulatory System
5.2.3. Establish Clear Compliance Standards and Incentive-Compatible Mechanisms to Systematically Reduce Compliance Costs for Multiple Stakeholders
5.2.4. Strengthen the Quality of Data at the Source and Implement Standardized Collection and Cost Constraint Mechanisms
5.2.5. Align with International Regulatory Frameworks and Trust Infrastructure Development
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Suppliers/Demanders/Regulators | Suppliers | |||
|---|---|---|---|---|
| Demanders | High-Quality Supply | Low-Quality Supply | ||
| Regulators | Strong Regulation | Compliant Use | ||
| Non-Compliant Use | , | |||
| Weak Regulation | Compliant Use | , | ||
| Non-Compliant Use | , | |||
| Study | Decision Stages | Actors | Trust Mechanism | Application Context |
|---|---|---|---|---|
| Jin et al. [36] (2026) | Single-stage | Four parties: data providers, platform operators, government regulators, data demanders | Implicit (indirectly reflected through reputation losses and gains) | Healthcare data trading (China) |
| Zhai et al. [38] (2025) | Single-stage | Three parties: patients, medical institutions, government | Implicit (no explicit trust parameters) | Healthcare data sharing (China) |
| Zhang et al. [39] (2025) | Single-stage | Four parties: data-providing medical institutions, data-using medical institutions, government, medical data centers | Implicit (no explicit trust parameters) | Inter-institutional medical data sharing (China) |
| Wang et al. [35] (2024) | Single-stage | Three parties: data platform, data users, patients | Explicit trust gains and losses (L1, L2, L3, T4, T5, T6) | Healthcare big data open utilization (China, drawing on UK experience) |
| Mu et al. [40] (2025) | Single-stage | Three parties: medical institutions, government, data market | Implicit (indirectly reflected through trust crisis loss S31) | Medical data value release (China) |
| Ding et al. [41] (2026) | Single-stage | Three parties: lead units, hub member units, basic member units | Explicit reputation mechanism (reputation gain PI, reputation risks Fm, Fb) | Cross-domain healthcare data governance (China) |
| Xu & Qi [42] (2026) | Single-stage | Two parties: general hospitals, local governments | Implicit (indirectly reflected through patient privacy concerns θ/F) | Regional medical data sharing platform construction (China) |
| Yao & Liu [43] (2025) | Single-stage | Three parties: Data Management Authorities, Data Operation Departments, Data-related Entities | Explicit trust mechanism (patient trust I2, government reputation loss I1) | Healthcare data factor circulation (China) |
| This study | Two-stage | Three parties: data suppliers, data demanders, regulators | Explicit trust gains and losses (T1, T2, T3, L1, L2, L3) | China’s Health data circulation ecosystem |
| Suppliers\Demanders | Demanders | ||
|---|---|---|---|
| Compliant Use | Non-Compliant Use | ||
| Suppliers | Compliant Supply | (5,5) | (2,6) |
| Non-Compliant Supply | (6,2) | (3,3) | |
| Parameter Symbol | Parameter Meaning |
|---|---|
| Cost incurred by the data supplier when choosing the high-quality supply strategy | |
| Payment amount made by the data demander to the data supplier | |
| Trust benefit gained by the data supplier when choosing the high-quality supply strategy | |
| Probability of data leakage when the data demander uses data compliantly | |
| Probability of data leakage when the data demander uses data non-compliantly | |
| Base compensation amount paid by the data supplier to the data subject in the event of data leakage | |
| Cost incurred by the data supplier when choosing the low-quality supply strategy | |
| Penalty collected by the regulator from the data supplier when low-quality supply is detected under strong regulation | |
| Liquidated damages paid by the data supplier to the data demander when low-quality supply is detected | |
| Trust loss suffered by the data supplier when low-quality supply is detected | |
| Social reputation loss borne by the data supplier when a data leakage incident occurs | |
| Trust benefit gained by the data demander when choosing the compliant use strategy | |
| Basic economic benefit obtained by the data demander when the supplier provides high-quality data | |
| Basic economic benefit obtained by the data demander when the supplier provides low-quality data | |
| Additional benefit obtained by the data demander from non-compliant use when the supplier provides high-quality data | |
| Additional benefit obtained by the data demander from non-compliant use when the supplier provides low-quality data | |
| Base compensation amount paid by the data demander to the data subject in the event of data leakage | |
| Penalty collected by the regulator from the data demander when non-compliant use is detected under strong regulation | |
| Liquidated damages paid by the data demander to the data supplier when non-compliant use is detected | |
| Trust loss suffered by the data demander when non-compliant use is detected | |
| Cost incurred by the regulator when choosing the strong regulation strategy | |
| Trust benefit gained by the regulator when choosing the strong regulation strategy | |
| Trust loss suffered by the regulator when choosing the weak regulation strategy |
| Equilibrium Point | Eigenvalue | Eigenvalue | Eigenvalue |
|---|---|---|---|
| T1 + L1 + C2 − C1 | E21(b − a) − P32 | T3 − C3 + L3 + F1 + F2 | |
| T1 + L1 + C2 − C1 + F1 + E12 + E22 + bE11 | T2 + E21(b − a) − P32 + bE11 + F2 + L2 + E22 | −T3 + C3 − L3 − F1 − F2 | |
| T1 + L1 + C2 − C1 | −E21(b − a) + P32 | T3 − C3 + L3 + F1 | |
| T1 + L1 + C2 − C1 + F1 + E12 | −E21(b − a) + P32 − T2 − bE11 − F2 − L2 − E22 | −T3 + C3 − L3 − F1 | |
| −T1 − L1 − C2 + C1 | E21(b − a) − P31 | T3 − C3 + L3 + F2 | |
| −T1 − L1 − C2 + C1 − F1 − E12 − E22 − bE11 | T2 + E21(b − a) − P31 + bE11 + F2 + L2 + E22 | −T3 + C3 − L3 − F2 | |
| −T1 − L1 − C2 + C1 | −E21(b − a) + P31 | T3 − C3 + L3 | |
| −T1 − L1 − C2 + C1 − F1 − E12 | −E21(b − a) + P31 − T2 − bE11 − F2 − L2 − E22 | −T3 + C3 − L3 |
| Initial Values | ||||||||||||
| 40 | 10 | 5 | 5 | 80 | 10 | 5 | 5 | 5 | 5 | 50 | 20 | |
| — | ||||||||||||
| 50 | 20 | 0.05 | 0.25 | 5 | 5 | 10 | 5 | 50 | 5 | 5 | — |
| Baseline Parameters | Parameter(s) Changed | Values Tested | Equilibrium State (x, y, z) | Figure |
|---|---|---|---|---|
| Initial values | 5 → 40 → 80 | (0, 0, 0) → (0, 1, 1) → (0, 1, 1) | Figure 5 | |
| Initial values except for (=80) | 5 → 20 → 40 | (0, 1, 1) → (1, 0, 1) → (1, 0, 1) | Figure 6 | |
| Initial values except for (=80) and (=20) | 10 → 25 → 40 | (1, 0, 1) → (1, 0, 1) → (1, 1, 1) | Figure 7 | |
| Initial values except for (=80), (=20) and (=40) | 50 → 60 → 70 | (1, 1, 1) → (1, 1, 1) → (1, 0,1) | Figure 8 | |
| Initial values except for (=80), (=20), (=40) and (=70) | 40 → 50 → 60 | (1, 0, 1) → (1, 1, 1) → (1, 1, 1) | Figure 9 | |
| Initial values except for (=80) | 40 → 30 → 20 | (0, 1, 1) → (1, 0, 1) → (1, 0, 1) | Figure 10a | |
| 10 → 20 → 30 | Figure 10b | |||
| 5 → 15 → 25 | Figure 10c | |||
| 5 → 15 → 25 | Figure 10d | |||
| Initial values except for (=80) and (=20) | 5 → 25 → 45 | (1, 0, 1) → (1, 0, 1) → (1, 1, 1) | Figure 11a | |
| 5 → 25 → 45 | Figure 11b | |||
| Initial values except for (=80) | (, ) | (5, 10) → (20, 25) → (40, 45) | (0, 1, 1) → (0, 1, 1) → (0, 1, 1) | Figure 12 |
| Initial values except for (=80) | (, ) | (5, 10) → (25, 30) → (45, 50) | (0, 1, 1) → (1, 0, 1) → (1, 1, 1) | Figure 13 |
| Initial values | (, ) | (5, 5) → (40, 40) → (80, 80) | (0, 0, 0) → (1, 0, 0.57) → (1, oscillatory, oscillatory) | Figure 14 |
| Initial values | (, ) | (5, 40) | (0, oscillatory, oscillatory) | Figure 15a |
| (40, 5) | (oscillatory, 0, oscillatory) | Figure 15b | ||
| (5, 80) | (0, oscillatory, oscillatory) | Figure 15c | ||
| (80, 5) | (oscillatory, 0, oscillatory) | Figure 15d |
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Xie, S.; Wang, D. Evolutionary Game Analysis of the Mutual Trust Dilemma in Health Data Circulation: A Symmetry Perspective on Supply and Demand. Symmetry 2026, 18, 1567. https://doi.org/10.3390/sym18091567
Xie S, Wang D. Evolutionary Game Analysis of the Mutual Trust Dilemma in Health Data Circulation: A Symmetry Perspective on Supply and Demand. Symmetry. 2026; 18(9):1567. https://doi.org/10.3390/sym18091567
Chicago/Turabian StyleXie, Shicheng, and Dandan Wang. 2026. "Evolutionary Game Analysis of the Mutual Trust Dilemma in Health Data Circulation: A Symmetry Perspective on Supply and Demand" Symmetry 18, no. 9: 1567. https://doi.org/10.3390/sym18091567
APA StyleXie, S., & Wang, D. (2026). Evolutionary Game Analysis of the Mutual Trust Dilemma in Health Data Circulation: A Symmetry Perspective on Supply and Demand. Symmetry, 18(9), 1567. https://doi.org/10.3390/sym18091567

