Asymmetric Pay Adjustment and Green Innovation Resilience: Interactions Among Executive Incentives, Managerial Backgrounds, and Government Subsidies
Abstract
1. Introduction
2. Literature Review and Hypothesis Development
2.1. Green Innovation Resilience and Executive Decision Context
2.2. Executive Compensation Stickiness and Green Innovation Resilience
2.3. The Moderating Role of Executive Environmental Background
2.4. The Moderating Role of Government Green Innovation Subsidies
3. Research Design
3.1. Sample Selection and Data Sources
3.2. Variable Measurement
3.2.1. Green Innovation Resilience (GIR)
3.2.2. Executive Compensation Stickiness (ECS)
3.2.3. Moderating Variables
3.2.4. Control Variables
3.3. Model
4. Results
4.1. Descriptive Statistics and Pairwise Correlations
4.2. Model Regression Results
4.3. Moderating Effect Analysis
4.4. Robustness Checks and Endogeneity Treatments
4.4.1. Alternative Measures of Key Variables
4.4.2. Endogeneity Treatments
5. Conclusions and Implications
5.1. Research Conclusions
5.2. Discussion
5.3. Theoretical Contributions and Practical Implications
5.3.1. Theoretical Contributions
5.3.2. Practical Implications
5.4. Limitations and Future Research
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
| BAT | Behavioral Agency Theory |
| CEO | Chief Executive Officer |
| Cfo | Cash Flow from Operations |
| CNRDS | Chinese Research Data Services Platform |
| CSMAR | China Stock Market & Accounting Research Database |
| ECS | Executive Compensation Stickiness |
| Envi | Executive Environmental Background |
| FE | Fixed Effect |
| GIR | Green Innovation Resilience |
| IMR | Inverse Mills Ratio |
| Indep | Independent Directors |
| IV | Instrumental Variable |
| Lev | Leverage Ratio |
| OLS | Ordinary Least Squares |
| PPS | Pay–Performance Sensitivity |
| PSM | Propensity Score Matching |
| R&D | Research and Development |
| ROA | Return on Assets |
| ST | Special Treatment |
| Subs | Government green innovation Subsidies |
| VIF | Variance Inflation Factor |
Appendix A
Appendix A.1
| Variable | Heckman Two-Stage Models | |||
|---|---|---|---|---|
| Stage 1 | Stage 2 | Stage 1 | Stage 2 | |
| ECS | 2.4832 *** | 0.0085 * | 2.2168 *** | 0.0101 ** |
| (19.9034) | (1.6893) | (22.8672) | (2.2886) | |
| IV | −0.3291 *** | |||
| (−18.6575) | ||||
| L.IV | −0.1722 *** | |||
| (−8.3069) | ||||
| IV_ Lewbel_a | −1.0640 ** | |||
| (−2.3619) | ||||
| IV_ Lewbel_b | 1.3198 *** | |||
| (2.9890) | ||||
| IV_ Lewbel_c | 3.1681 *** | |||
| (4.2800) | ||||
| IMR | 0.0648 | 0.0144 | ||
| (1.0746) | (0.3387) | |||
| Age | 0.0853 | 0.0565 | 0.0716 | −0.4668 |
| (1.5119) | (0.0615) | (1.4478) | (−0.5977) | |
| Size | 0.0471 *** | 0.2547 *** | −0.0385 | 0.3119 *** |
| (3.0302) | (2.8211) | (−0.3444) | (4.1620) | |
| Lev | −0.2311 ** | 0.2997 | −1.8849 *** | 0.4067 |
| (−2.5072) | (0.7902) | (−2.5799) | (1.2924) | |
| ROA | 0.7834 *** | −0.1847 | 0.6172 *** | −0.3684 |
| (3.2292) | (−0.2417) | (2.9010) | (−0.5501) | |
| Cfo | −0.3413 | −0.8012 | −0.3188 | −0.7141 |
| (−1.2727) | (−1.1415) | (−1.3890) | (−1.2048) | |
| Growth | −0.0065 | 0.0343 | −0.0672 * | 0.0707 |
| (−0.1468) | (0.2863) | (−1.8856) | (0.7137) | |
| Board | −0.0182 | −0.2038 | 2.0914 *** | −0.1887 |
| (−0.1481) | (−0.4668) | (2.8974) | (−0.5334) | |
| Indep | −0.2703 | −0.5812 | −0.0526 | −1.0896 |
| (−0.7846) | (−0.4818) | (−0.1853) | (−1.0869) | |
| Stock | −0.1953 * | 0.1680 | −0.1693 * | 0.8499 |
| (−1.6872) | (0.2313) | (−1.8115) | (1.5064) | |
| Share | 0.4612 *** | −0.1747 | 5.2768 *** | −0.0985 |
| (4.8243) | (−0.3218) | (4.4167) | (−0.2153) | |
| _cons | −2.2755 *** | −4.5519 | −4.4696 * | −4.3875 |
| (−5.1215) | (−1.2513) | (−1.6998) | (−1.4096) | |
| Year Effects | YES | YES | YES | YES |
| Individual Effects | YES | YES | YES | YES |
| N | 18,669 | 18,668 | 22,268 | 22,268 |
| R2 | 0.7027 | 0.0960 | 0.6766 | 0.0910 |
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| Variables | Symbol | Definition and Measurement |
|---|---|---|
| Green innovation resilience | GIR | A firm’s capacity to maintain green innovation momentum and adaptively evolve technological capabilities amidst uncertainty. Calculated as gap between the actual change and expected change of green patents. |
| Executive compensation stickiness | ECS | Asymmetric pay adjustment, whereby the marginal increase in pay for a performance gain is greater than the marginal decrease in pay for an equivalent performance loss. Calculated based on executives’ pay–performance sensitivity. |
| Executive environmental background | Envi | The logarithm of the number of managers with environmental experience. |
| Government green innovation subsidies | Subs | The intensity of policy support for green innovation. Measured as the ratio of government green innovation subsidies to operating revenue. |
| Firm size | Size | Controls for firm scale. Measured as the natural logarithm of total assets. |
| Firm age | Age | Controls for firm lifecycle and experience. Measured as the natural logarithm of years from the firm establishment. |
| Leverage ratio | Lev | Controls for financial risk and capital structure. Measured as total liabilities divided by total assets. |
| Return on assets | ROA | Controls for firm profitability. Measured as net profit divided by average total assets. |
| Cash flow | Cfo | Controls for internal liquidity and cash generation capacity. Measured as net cash flow from operating activities divided by total assets. |
| Firm growth | Growth | Controls for future growth opportunities. Measured as the year-on-year growth rate of operating revenue. |
| Board size | Board | Controls for corporate governance structure. Measured as the natural logarithm of the number of board members. |
| Independent directors | Indep | Board independence and monitoring effectiveness. Calculated as the number of independent directors divided by the total number of board members. |
| Ownership concentration | Stock | Captures the power of the largest shareholder. Measured as the percentage of shares held by the largest shareholder. |
| Managerial ownership proportion | Share | Reflects the alignment of interests between managers and shareholders. Calculated as management shareholding divided by total shares. |
| Year | Year | A series of dummy variables for each year to control for time-specific shocks that affect all firms. |
| Firm | Id | A series of dummy variables for each firm to control for time-invariant firm-level idiosyncratic characteristics. |
| Variable | N | Mean | P50 | Sd | Min | Max |
|---|---|---|---|---|---|---|
| GIR | 22,268 | 0.8090 | 0.0000 | 4.4930 | −14.2200 | 15.6300 |
| ECS | 22,268 | 2.0950 | 0.5410 | 7.4720 | −14.2900 | 54.0900 |
| Age | 22,268 | 3.0290 | 3.0450 | 0.2770 | 2.1970 | 3.6380 |
| Size | 22,268 | 22.5100 | 22.3300 | 1.2540 | 20.1200 | 26.4400 |
| Lev | 22,268 | 0.4370 | 0.4310 | 0.1940 | 0.0714 | 0.9410 |
| ROA | 22,268 | 0.0302 | 0.0322 | 0.0682 | −0.3480 | 0.2020 |
| Cfo | 22,268 | 0.0518 | 0.0485 | 0.0634 | −0.1290 | 0.2420 |
| Growth | 22,268 | 0.1350 | 0.0836 | 0.3540 | −0.5440 | 2.2510 |
| Board | 22,268 | 2.2370 | 2.3030 | 0.1760 | 1.7920 | 2.7730 |
| Indep | 22,268 | 0.3770 | 0.3640 | 0.0542 | 0.3330 | 0.5710 |
| Stock | 22,268 | 0.3230 | 0.3000 | 0.1430 | 0.0800 | 0.7120 |
| Share | 22,268 | 0.1090 | 0.0062 | 0.1640 | 0.0000 | 0.6200 |
| Envi | 22,268 | 0.3020 | 0.0000 | 0.5030 | 0.0000 | 3.0910 |
| Subs | 22,268 | 0.0001 | 0.0000 | 0.0006 | 0.0000 | 0.0156 |
| Variable | GIR | ECS | Age | Size | Lev | ROA | Cfo | Growth | Board | Indep | Stock | Share |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| GIR | 1.0000 | |||||||||||
| ECS | 0.0110 * | 1.0000 | ||||||||||
| Age | 0.0210 *** | 0.0010 | 1.0000 | |||||||||
| Size | 0.0610 *** | 0.0600 *** | 0.1570 *** | 1.0000 | ||||||||
| Lev | 0.0340 *** | 0.0010 | 0.0950 *** | 0.4520 *** | 1.0000 | |||||||
| ROA | 0.0020 | 0.0250 *** | −0.0360 *** | 0.0930 *** | −0.3220 *** | 1.0000 | ||||||
| Cfo | −0.0130 * | 0.0060 | 0.0030 | 0.0890 *** | −0.1630 *** | 0.4220 *** | 1.0000 | |||||
| Growth | 0.0180 *** | −0.0050 | −0.0610 *** | 0.0520 *** | 0.0150 ** | 0.2510 *** | 0.0470 *** | 1.0000 | ||||
| Board | 0.0090 | 0.0170 ** | 0.0530 *** | 0.2560 *** | 0.1320 *** | 0.0430 *** | 0.0350 *** | 0.0000 | 1.0000 | |||
| Indep | 0.0000 | 0.0010 | −0.0220 *** | 0.0090 | −0.0040 | −0.0200 *** | 0.0050 | −0.0180 *** | −0.5420 *** | 1.0000 | ||
| Stock | 0.0130 * | 0.0280 *** | −0.0780 *** | 0.2370 *** | 0.0850 *** | 0.1300 *** | 0.1070 *** | 0.0090 | 0.0520 *** | 0.0400 *** | 1.0000 | |
| Share | −0.0120 * | −0.0110 | −0.1870 *** | −0.2870 *** | −0.2450 *** | 0.0810 *** | 0.0230 *** | 0.0530 *** | −0.2040 *** | 0.0640 *** | −0.1300 *** | 1.0000 |
| Variable | (1) | (2) |
|---|---|---|
| GIR | GIR | |
| ECS | 0.0106 ** | 0.0101 ** |
| (2.4296) | (2.2875) | |
| Age | −0.4691 | |
| (−0.6002) | ||
| Size | 0.3118 *** | |
| (4.1611) | ||
| Lev | 0.4062 | |
| (1.2909) | ||
| ROA | −0.3696 | |
| (−0.5519) | ||
| Cfo | −0.7137 | |
| (−1.2043) | ||
| Growth | 0.0707 | |
| (0.7138) | ||
| Board | −0.1888 | |
| (−0.5338) | ||
| Indep | −1.0921 | |
| (−1.0888) | ||
| Stock | 0.8525 | |
| (1.5119) | ||
| Share | −0.0983 | |
| (−0.2150) | ||
| _cons | 0.7864 *** | −4.3794 |
| (86.2990) | (−1.4061) | |
| Year Effects | YES | YES |
| Individual Effects | YES | YES |
| N | 22,268 | 22,268 |
| R2 | 0.0901 | 0.0911 |
| Variable | (1) | (2) |
|---|---|---|
| GIR | GIR | |
| ECS | 0.0105 ** | 0.0094 ** |
| (2.3778) | (2.1069) | |
| 0.0207 ** | ||
| (2.0046) | ||
| Envi | 0.1030 | |
| (0.7937) | ||
| 4.8809 * | ||
| (1.6747) | ||
| Subs | 137.1845 ** | |
| (2.1783) | ||
| Age | −0.4934 | −0.4399 |
| (−0.6310) | (−0.5638) | |
| Size | 0.3090 *** | 0.3152 *** |
| (4.1248) | (4.2121) | |
| Lev | 0.4128 | 0.4086 |
| (1.3140) | (1.2984) | |
| ROA | −0.3758 | −0.3364 |
| (−0.5608) | (−0.5009) | |
| Cfo | −0.7183 | −0.6988 |
| (−1.2120) | (−1.1791) | |
| Growth | 0.0683 | 0.0738 |
| (0.6897) | (0.7454) | |
| Board | −0.1855 | −0.1743 |
| (−0.5246) | (−0.4912) | |
| Indep | −1.0886 | −1.0758 |
| (−1.0858) | (−1.0708) | |
| Stock | 0.8445 | 0.8692 |
| (1.4988) | (1.5410) | |
| Share | −0.1168 | −0.0970 |
| (−0.2544) | (−0.2125) | |
| _cons | −4.2804 | −4.6097 |
| (−1.3753) | (−1.4814) | |
| Year Effects | YES | YES |
| Individual Effects | YES | YES |
| N | 22,268 | 22,268 |
| R2 | 0.0913 | 0.0914 |
| Variable | Alternative Measures of Key Variables | Heckman Two-Stage Model | High-Dimensional Fixed Effects | Propensity Score Matching | Entropy Balancing | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| GIR | GIR | GIR | GIR2 | GIR3 | Stage 1 | Stage 2 | GIR | GIR | GIR | GIR | |
| ECS | 0.0166 ** | 0.0073 * | 2.0538 *** | 0.0101 ** | 0.0107 ** | 0.0116 ** | 0.0108 ** | 0.0104 ** | |||
| (2.1606) | (1.6554) | (22.6689) | (2.2894) | (2.3154) | (2.4797) | (2.5120) | (2.3288) | ||||
| ECS2 | 0.0090 * | ||||||||||
| (1.8730) | |||||||||||
| ECS_4 | 0.0010 ** | ||||||||||
| (1.9944) | |||||||||||
| ECS_6 | 0.0035 *** | ||||||||||
| (2.7644) | |||||||||||
| IV | −0.3236 *** | ||||||||||
| (−19.1876) | |||||||||||
| IMR | 0.0080 | ||||||||||
| (0.2004) | |||||||||||
| Age | −0.4627 | 0.1137 | 1.9985 | −1.5355 | −0.2323 | 0.0591 | −0.4744 | 0.0081 | −0.4853 | −0.4440 | −0.5037 |
| (−0.5921) | (1.1907) | (0.9813) | (−1.1428) | (−0.3044) | (1.1769) | (−0.6075) | (0.0095) | (−0.5772) | (−0.5210) | (−0.6206) | |
| Size | 0.3113 *** | 0.1974 *** | 0.5432 *** | 0.4377 *** | 0.1719 ** | 0.0366 *** | 0.3110 *** | 0.3572 *** | 0.3479 *** | 0.3308 *** | 0.3162 *** |
| (4.1534) | (8.1551) | (2.7484) | (3.4835) | (2.4078) | (2.8311) | (4.1541) | (4.0471) | (4.0717) | (3.7298) | (3.9121) | |
| Lev | 0.4086 | 0.2368 | −0.5342 | −0.6382 | 0.2088 | −0.1899 ** | 0.4087 | 0.2128 | 0.3538 | 0.4028 | 0.3111 |
| (1.2997) | (1.5674) | (−0.6569) | (−1.1344) | (0.6808) | (−2.3644) | (1.2996) | (0.6281) | (1.0487) | (1.0894) | (0.9364) | |
| ROA | −0.3679 | 0.2845 | 0.3608 | 1.4647 | 0.7546 | 0.5287 ** | −0.3679 | −0.3658 | −0.2632 | −0.5221 | −0.6132 |
| (−0.5492) | (0.5541) | (0.2389) | (1.4218) | (1.0958) | (2.5230) | (−0.5495) | (−0.5107) | (−0.3705) | (−0.6635) | (−0.8569) | |
| Cfo | −0.7044 | −1.0099 ** | −1.6186 | −0.7689 | −1.2817 ** | −0.1947 | −0.7154 | −0.8259 | −0.7785 | −0.6706 | −0.6470 |
| (−1.1883) | (−2.1241) | (−1.1000) | (−0.7563) | (−2.2554) | (−0.8827) | (−1.2077) | (−1.3352) | (−1.2303) | (−1.0306) | (−1.0313) | |
| Growth | 0.0704 | 0.1759 ** | 0.6551 *** | 0.5418 *** | 0.1195 | −0.0708 ** | 0.0707 | 0.0623 | 0.1340 | 0.0715 | 0.0869 |
| (0.7096) | (2.0279) | (2.7276) | (3.1606) | (1.2995) | (−2.0114) | (0.7135) | (0.5917) | (1.2435) | (0.6463) | (0.8421) | |
| Board | −0.1924 | 0.0170 | 0.0477 | 1.2510 ** | 0.4415 | 0.0396 | −0.1879 | −0.2443 | −0.1052 | −0.2831 | −0.1634 |
| (−0.5442) | (0.1038) | (0.0529) | (2.0510) | (1.2059) | (0.4068) | (−0.5314) | (−0.6546) | (−0.2833) | (−0.7096) | (−0.4341) | |
| Indep | −1.1096 | −0.2020 | −3.4663 | 2.3309 | 0.0993 | −0.0430 | −1.0909 | −1.2658 | −0.9642 | −0.2460 | −1.2972 |
| (−1.1073) | (−0.3761) | (−1.3355) | (1.3533) | (0.0987) | (−0.1444) | (−1.0883) | (−1.1885) | (−0.9305) | (−0.2211) | (−1.2381) | |
| Stock | 0.8567 | 0.4429 ** | −0.3316 | 0.5608 | 0.4495 | −0.1871 * | 0.8511 | 1.2696 ** | 0.7572 | 0.2362 | 0.8216 |
| (1.5197) | (2.4504) | (−0.2499) | (0.6118) | (0.9608) | (−1.9590) | (1.5085) | (2.0364) | (1.2673) | (0.3743) | (1.4272) | |
| Share | −0.0937 | −0.0858 | 0.7012 | 1.0359 | −0.2766 | 0.2498 *** | −0.0986 | 0.0300 | 0.2269 | −0.2306 | −0.2490 |
| (−0.2050) | (−0.5814) | (0.5759) | (1.2318) | (−0.6353) | (3.1240) | (−0.2156) | (0.0596) | (0.4697) | (−0.4574) | (−0.5090) | |
| _cons | −4.3736 | −1.2878 ** | −15.6090 ** | −7.6621 | −3.7456 | −1.6542 *** | −4.3485 | −6.7148 ** | −5.3701 | −4.7720 | −4.2819 |
| (−1.4040) | (−2.2772) | (−1.9611) | (−1.4709) | (−1.2846) | (−4.5066) | (−1.3979) | (−1.9618) | (−1.6140) | (−1.3785) | (−1.3073) | |
| Year Effects | YES | YES | YES | YES | YES | YES | YES | YES | YES | YES | YES |
| Individual Effects | YES | YES | YES | YES | YES | YES | YES | YES | YES | YES | YES |
| Province Fixed Effect | NO | NO | NO | NO | NO | NO | NO | YES | YES | NO | NO |
| N | 22,268 | 22,268 | 19,530 | 22,267 | 22,267 | 22,268 | 22,266 | 22,267 | 22,267 | 19,577 | 22,268 |
| R2 | 0.0911 | 0.0909 | 0.1176 | 0.1019 | 0.0921 | 0.6737 | 0.0910 | 0.1080 | 0.1183 | 0.1088 | 0.0928 |
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© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Zong, Y.; Tang, Z. Asymmetric Pay Adjustment and Green Innovation Resilience: Interactions Among Executive Incentives, Managerial Backgrounds, and Government Subsidies. Systems 2026, 14, 211. https://doi.org/10.3390/systems14020211
Zong Y, Tang Z. Asymmetric Pay Adjustment and Green Innovation Resilience: Interactions Among Executive Incentives, Managerial Backgrounds, and Government Subsidies. Systems. 2026; 14(2):211. https://doi.org/10.3390/systems14020211
Chicago/Turabian StyleZong, Yi, and Zhen Tang. 2026. "Asymmetric Pay Adjustment and Green Innovation Resilience: Interactions Among Executive Incentives, Managerial Backgrounds, and Government Subsidies" Systems 14, no. 2: 211. https://doi.org/10.3390/systems14020211
APA StyleZong, Y., & Tang, Z. (2026). Asymmetric Pay Adjustment and Green Innovation Resilience: Interactions Among Executive Incentives, Managerial Backgrounds, and Government Subsidies. Systems, 14(2), 211. https://doi.org/10.3390/systems14020211
