Studies in Science of Science ›› 2026, Vol. 44 ›› Issue (10): 2038-2049.
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SUN Yong-bo, LUO Lan, WANG Feng-qin(
)
Received:2025-09-09
Revised:2025-12-16
Online:2026-10-15
Published:2026-10-10
通讯作者:
王凤芹(1997-),女,博士研究生,E-mail: 作者简介:孙永波(1970-),男,教授,博士。基金资助:CLC Number:
SUN Yong-bo, LUO Lan, WANG Feng-qin. Can technical standards alleviate the "rat race" competition of enterprises?[J]. Studies in Science of Science, 2026, 44(10): 2038-2049.
孙永波, 罗兰, 王凤芹. 技术标准能否缓解企业“内卷式”竞争?[J]. 科学学研究, 2026, 44(10): 2038-2049.
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| Variable | Obs | Mean | Std. Dev. | Min | Max | Median | Vif |
|---|---|---|---|---|---|---|---|
| Cpt Oc | 10179 | 0.6655 | 0.0795 | 0.0575 | 0.8840 | 0.6692 | - |
| Cpt Ph | 10179 | 0.0829 | 0.0974 | 0.0011 | 0.5474 | 0.0467 | 1.30 |
| Std | 10179 | 7.8102 | 0.8496 | 4.6250 | 9.3076 | 7.9735 | 1.23 |
| Age | 10179 | 2.9193 | 0.3419 | 1.3863 | 3.6376 | 2.9957 | 1.16 |
| Lev | 10179 | 0.4003 | 0.1851 | 0.0319 | 0.9242 | 0.3987 | 1.16 |
| Indep | 10179 | 0.3745 | 0.0541 | 0.2857 | 0.5714 | 0.3333 | 1.01 |
| Dual | 10179 | 0.2557 | 0.4363 | 0 | 1 | 0 | 1.03 |
| Cash | 10179 | 0.0543 | 0.0632 | -0.1733 | 0.2723 | 0.0503 | 1.10 |
| Top10 | 10179 | 0.5464 | 0.1471 | 0.1988 | 0.9029 | 0.5425 | 1.11 |
| Fixed | 10179 | 0.2341 | 0.1365 | 0.0002 | 0.8081 | 0.2079 | 1.16 |
Table 1 Descriptive statistics
| Variable | Obs | Mean | Std. Dev. | Min | Max | Median | Vif |
|---|---|---|---|---|---|---|---|
| Cpt Oc | 10179 | 0.6655 | 0.0795 | 0.0575 | 0.8840 | 0.6692 | - |
| Cpt Ph | 10179 | 0.0829 | 0.0974 | 0.0011 | 0.5474 | 0.0467 | 1.30 |
| Std | 10179 | 7.8102 | 0.8496 | 4.6250 | 9.3076 | 7.9735 | 1.23 |
| Age | 10179 | 2.9193 | 0.3419 | 1.3863 | 3.6376 | 2.9957 | 1.16 |
| Lev | 10179 | 0.4003 | 0.1851 | 0.0319 | 0.9242 | 0.3987 | 1.16 |
| Indep | 10179 | 0.3745 | 0.0541 | 0.2857 | 0.5714 | 0.3333 | 1.01 |
| Dual | 10179 | 0.2557 | 0.4363 | 0 | 1 | 0 | 1.03 |
| Cash | 10179 | 0.0543 | 0.0632 | -0.1733 | 0.2723 | 0.0503 | 1.10 |
| Top10 | 10179 | 0.5464 | 0.1471 | 0.1988 | 0.9029 | 0.5425 | 1.11 |
| Fixed | 10179 | 0.2341 | 0.1365 | 0.0002 | 0.8081 | 0.2079 | 1.16 |
| Variable | M1 | M2 | M3 | M4 | M5 | M6 |
|---|---|---|---|---|---|---|
| Cpt_Oc | Cpt_Oc | Cpt_Oc | Cpt_Ph | Cpt_Ph | Cpt_Ph | |
| Std | 0.0041*** | 0.0049*** | 0.0046* | -0.0424*** | -0.0426*** | -0.0285*** |
| (4.4600) | (5.3940) | (1.9162) | (-40.1500) | (-41.6294) | (-15.0093) | |
| Age | 0.0194*** | 0.0200*** | 0.0138*** | 0.0002 | ||
| (8.2768) | (2.7980) | (5.1950) | (0.0435) | |||
| Lev | 0.0810*** | -0.0031 | -0.0864*** | -0.0008 | ||
| (18.9723) | (-0.6218) | (-17.8053) | (-0.2057) | |||
| Indep | -0.0320** | 0.0146 | 0.0359** | 0.0066 | ||
| (-2.3040) | (1.1673) | (2.2730) | (0.6670) | |||
| Dual | -0.0107*** | -0.0005 | 0.0071*** | 0.0010 | ||
| (-6.1446) | (-0.3009) | (3.6226) | (0.8693) | |||
| Cash | 0.2648*** | 0.1782*** | 0.1054*** | -0.0285*** | ||
| (21.4551) | (20.5249) | (7.5157) | (-4.1184) | |||
| Top10 | 0.0491*** | -0.0204*** | -0.0093 | 0.0155*** | ||
| (9.1629) | (-3.1071) | (-1.5193) | (2.9787) | |||
| Fixed | 0.0062 | -0.0019 | -0.1589*** | 0.0291*** | ||
| (1.0798) | (-0.2870) | (-24.4476) | (5.3819) | |||
| _cons | 0.6332*** | 0.5105*** | 0.5894*** | 0.4140*** | 0.4312*** | 0.2727*** |
| (87.0288) | (43.3265) | (21.7031) | (49.9012) | (32.1966) | (12.6174) | |
| 个体固定 | No | No | Yes | No | No | Yes |
| 时间固定 | No | No | Yes | No | No | Yes |
| N | 10179 | 10179 | 10179 | 10179 | 10179 | 10179 |
| adj. R2 | 0.002 | 0.102 | 0.008 | 0.137 | 0.228 | -0.013 |
Table 2 Benchmark regression results
| Variable | M1 | M2 | M3 | M4 | M5 | M6 |
|---|---|---|---|---|---|---|
| Cpt_Oc | Cpt_Oc | Cpt_Oc | Cpt_Ph | Cpt_Ph | Cpt_Ph | |
| Std | 0.0041*** | 0.0049*** | 0.0046* | -0.0424*** | -0.0426*** | -0.0285*** |
| (4.4600) | (5.3940) | (1.9162) | (-40.1500) | (-41.6294) | (-15.0093) | |
| Age | 0.0194*** | 0.0200*** | 0.0138*** | 0.0002 | ||
| (8.2768) | (2.7980) | (5.1950) | (0.0435) | |||
| Lev | 0.0810*** | -0.0031 | -0.0864*** | -0.0008 | ||
| (18.9723) | (-0.6218) | (-17.8053) | (-0.2057) | |||
| Indep | -0.0320** | 0.0146 | 0.0359** | 0.0066 | ||
| (-2.3040) | (1.1673) | (2.2730) | (0.6670) | |||
| Dual | -0.0107*** | -0.0005 | 0.0071*** | 0.0010 | ||
| (-6.1446) | (-0.3009) | (3.6226) | (0.8693) | |||
| Cash | 0.2648*** | 0.1782*** | 0.1054*** | -0.0285*** | ||
| (21.4551) | (20.5249) | (7.5157) | (-4.1184) | |||
| Top10 | 0.0491*** | -0.0204*** | -0.0093 | 0.0155*** | ||
| (9.1629) | (-3.1071) | (-1.5193) | (2.9787) | |||
| Fixed | 0.0062 | -0.0019 | -0.1589*** | 0.0291*** | ||
| (1.0798) | (-0.2870) | (-24.4476) | (5.3819) | |||
| _cons | 0.6332*** | 0.5105*** | 0.5894*** | 0.4140*** | 0.4312*** | 0.2727*** |
| (87.0288) | (43.3265) | (21.7031) | (49.9012) | (32.1966) | (12.6174) | |
| 个体固定 | No | No | Yes | No | No | Yes |
| 时间固定 | No | No | Yes | No | No | Yes |
| N | 10179 | 10179 | 10179 | 10179 | 10179 | 10179 |
| adj. R2 | 0.002 | 0.102 | 0.008 | 0.137 | 0.228 | -0.013 |
| Variable | M1 | M2 | M3 | M4 | M5 | M6 |
|---|---|---|---|---|---|---|
| Cpt_Oc1 | Cpt_Ph1 | Cpt_Oc | Cpt_Ph | Cpt_Oc | Cpt_Ph | |
| Std | 0.0159* | -0.0300*** | 0.0081** | -0.0393*** | 0.0050*** | -0.0316*** |
| (1.7622) | (-13.8110) | (2.5709) | (-15.8487) | (2.7342) | (-18.6194) | |
| _cons | 0.3553*** | 0.3757*** | 0.5576*** | 0.3676*** | 0.5617*** | 0.3016*** |
| (3.4714) | (15.1726) | (15.7577) | (13.1380) | (25.6568) | (15.1377) | |
| Controls | Yes | Yes | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes | Yes | Yes |
| N | 10179 | 10179 | 8613 | 8613 | 10179 | 10179 |
| adj. R2 | 0.018 | 0.053 | 0.001 | -0.020 | - | - |
Table 3 Regression results of robustness test
| Variable | M1 | M2 | M3 | M4 | M5 | M6 |
|---|---|---|---|---|---|---|
| Cpt_Oc1 | Cpt_Ph1 | Cpt_Oc | Cpt_Ph | Cpt_Oc | Cpt_Ph | |
| Std | 0.0159* | -0.0300*** | 0.0081** | -0.0393*** | 0.0050*** | -0.0316*** |
| (1.7622) | (-13.8110) | (2.5709) | (-15.8487) | (2.7342) | (-18.6194) | |
| _cons | 0.3553*** | 0.3757*** | 0.5576*** | 0.3676*** | 0.5617*** | 0.3016*** |
| (3.4714) | (15.1726) | (15.7577) | (13.1380) | (25.6568) | (15.1377) | |
| Controls | Yes | Yes | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes | Yes | Yes |
| N | 10179 | 10179 | 8613 | 8613 | 10179 | 10179 |
| adj. R2 | 0.018 | 0.053 | 0.001 | -0.020 | - | - |
| Variable | M1 | M2 | M3 | M4 | M5 |
|---|---|---|---|---|---|
| 第一阶段 | 第二阶段 | 第二阶段 | Cpt_Oc | Cpt_Ph | |
| Sth | Cpt_Oc | Cpt_Ph | |||
| Std_IV | 0.5289*** | 0.0058** | -0.0226*** | ||
| (79.7229) | (2.3780) | (-11.7602) | |||
| Std | 0.0109** | -0.0427*** | |||
| (2.3782) | (-11.8014) | ||||
| _cons | 3.7735*** | 0.5179*** | 0.4061*** | 0.5684*** | 0.2381*** |
| (39.4085) | (11.0417) | (10.9941) | (18.6006) | (9.8594) | |
| Controls | Yes | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes | Yes |
| N | 9,396 | 9,396 | 9,396 | 9,396 | 9,396 |
| 相关性检验 | 6355.74 | - | - | - | - |
| 不可识别检验 | 3661.74 [0.000] | - | - | - | - |
| 弱工具变量检验 | 6355.74{16.38} | - | - | - | - |
Table 4 Endogeneity test
| Variable | M1 | M2 | M3 | M4 | M5 |
|---|---|---|---|---|---|
| 第一阶段 | 第二阶段 | 第二阶段 | Cpt_Oc | Cpt_Ph | |
| Sth | Cpt_Oc | Cpt_Ph | |||
| Std_IV | 0.5289*** | 0.0058** | -0.0226*** | ||
| (79.7229) | (2.3780) | (-11.7602) | |||
| Std | 0.0109** | -0.0427*** | |||
| (2.3782) | (-11.8014) | ||||
| _cons | 3.7735*** | 0.5179*** | 0.4061*** | 0.5684*** | 0.2381*** |
| (39.4085) | (11.0417) | (10.9941) | (18.6006) | (9.8594) | |
| Controls | Yes | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes | Yes |
| N | 9,396 | 9,396 | 9,396 | 9,396 | 9,396 |
| 相关性检验 | 6355.74 | - | - | - | - |
| 不可识别检验 | 3661.74 [0.000] | - | - | - | - |
| 弱工具变量检验 | 6355.74{16.38} | - | - | - | - |
| Variable | 技术创新 | 人力资本 | |||
|---|---|---|---|---|---|
| M1 | M2 | M3 | M4 | M5 | |
| Patent | RD | Effect | Per | Staff | |
| Std | 0.2287*** | 0.1114*** | 0.0105*** | 0.0096** | 0.0010*** |
| (4.9096) | (3.0902) | (4.0886) | (2.1675) | (3.5312) | |
| _cons | 0.0144*** | 0.2118*** | 0.3130*** | 4.6932*** | -0.0039 |
| (4.0626) | (3.7905) | (20.4809) | (23.4029) | (-1.1661) | |
| Controls | Yes | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes | Yes |
| N | 10179 | 10141 | 10141 | 10103 | 10179 |
| adj. R2 | 0.190 | 0.419 | 0.115 | -0.034 | -0.023 |
Table 5 Regression results of intermediary model
| Variable | 技术创新 | 人力资本 | |||
|---|---|---|---|---|---|
| M1 | M2 | M3 | M4 | M5 | |
| Patent | RD | Effect | Per | Staff | |
| Std | 0.2287*** | 0.1114*** | 0.0105*** | 0.0096** | 0.0010*** |
| (4.9096) | (3.0902) | (4.0886) | (2.1675) | (3.5312) | |
| _cons | 0.0144*** | 0.2118*** | 0.3130*** | 4.6932*** | -0.0039 |
| (4.0626) | (3.7905) | (20.4809) | (23.4029) | (-1.1661) | |
| Controls | Yes | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes | Yes |
| N | 10179 | 10141 | 10141 | 10103 | 10179 |
| adj. R2 | 0.190 | 0.419 | 0.115 | -0.034 | -0.023 |
| Variable | M1 | M2 | M3 | M4 |
|---|---|---|---|---|
| Cpt_Oc | Cpt_Ph | Cpt_Oc | Cpt_Ph | |
| Std | 0.0045* | -0.0284*** | 0.0050** | -0.0295*** |
| (1.8986) | (-14.9661) | (2.1023) | (-15.5372) | |
| Treat×Post | -0.0053*** | 0.0021 | ||
| (-3.0171) | (1.4986) | |||
| Std×Treat×Post | 0.0035* | -0.0038** | ||
| (1.6761) | (-2.2555) | |||
| Ipp | 0.0719 | 0.0643 | ||
| (1.3826) | (1.5588) | |||
| Std×Ipp | 0.0640** | -0.2055*** | ||
| (2.1143) | (-8.5619) | |||
| _cons | 0.5835*** | 0.2753*** | 0.5859*** | 0.2778*** |
| (21.4470) | (12.7134) | (21.5590) | (12.8863) | |
| Controls | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes |
| N | 10179 | 10179 | 10179 | 10179 |
| adj. R2 | 0.009 | -0.012 | 0.009 | -0.005 |
Table 6 Regression results of the moderation model
| Variable | M1 | M2 | M3 | M4 |
|---|---|---|---|---|
| Cpt_Oc | Cpt_Ph | Cpt_Oc | Cpt_Ph | |
| Std | 0.0045* | -0.0284*** | 0.0050** | -0.0295*** |
| (1.8986) | (-14.9661) | (2.1023) | (-15.5372) | |
| Treat×Post | -0.0053*** | 0.0021 | ||
| (-3.0171) | (1.4986) | |||
| Std×Treat×Post | 0.0035* | -0.0038** | ||
| (1.6761) | (-2.2555) | |||
| Ipp | 0.0719 | 0.0643 | ||
| (1.3826) | (1.5588) | |||
| Std×Ipp | 0.0640** | -0.2055*** | ||
| (2.1143) | (-8.5619) | |||
| _cons | 0.5835*** | 0.2753*** | 0.5859*** | 0.2778*** |
| (21.4470) | (12.7134) | (21.5590) | (12.8863) | |
| Controls | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes |
| N | 10179 | 10179 | 10179 | 10179 |
| adj. R2 | 0.009 | -0.012 | 0.009 | -0.005 |
| Variable | 高新技术企业 | 非高新技术企业 | 高新技术企业 | 非高新技术企业 |
|---|---|---|---|---|
| M1 | M2 | M3 | M4 | |
| Cpt_Oc | Cpt_Oc | Cpt_Ph | Cpt_Ph | |
| Std | -0.0022 | 0.0284*** | -0.0491*** | 0.0076 |
| (-0.6410) | (4.5782) | (-18.2732) | (1.5977) | |
| _cons | 0.6196*** | 0.4754*** | 0.4617*** | -0.1314*** |
| (17.6144) | (8.2115) | (16.6174) | (-2.9690) | |
| Controls | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes |
| N | 7929 | 2250 | 7929 | 2250 |
| adj. R2 | 0.005 | 0.085 | -0.001 | 0.045 |
Table 7 Heterogeneity analysis
| Variable | 高新技术企业 | 非高新技术企业 | 高新技术企业 | 非高新技术企业 |
|---|---|---|---|---|
| M1 | M2 | M3 | M4 | |
| Cpt_Oc | Cpt_Oc | Cpt_Ph | Cpt_Ph | |
| Std | -0.0022 | 0.0284*** | -0.0491*** | 0.0076 |
| (-0.6410) | (4.5782) | (-18.2732) | (1.5977) | |
| _cons | 0.6196*** | 0.4754*** | 0.4617*** | -0.1314*** |
| (17.6144) | (8.2115) | (16.6174) | (-2.9690) | |
| Controls | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes |
| N | 7929 | 2250 | 7929 | 2250 |
| adj. R2 | 0.005 | 0.085 | -0.001 | 0.045 |
| Variable | 东部 | 中西部 | 东部 | 中西部 |
|---|---|---|---|---|
| M1 | M2 | M3 | M4 | |
| Cpt_Oc | Cpt_Oc | Cpt_Ph | Cpt_Ph | |
| Std | 0.0095*** | -0.0030 | -0.0302*** | -0.0247*** |
| (3.1468) | (-0.7668) | (-12.1957) | (-8.4141) | |
| _cons | 0.5289*** | 0.6968*** | 0.2806*** | 0.2619*** |
| (16.5771) | (12.7162) | (10.7519) | (6.3728) | |
| Controls | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes |
| N | 6903 | 3276 | 6903 | 3276 |
| adj. R2 | -0.000 | 0.039 | -0.016 | 0.013 |
Table 8 Heterogeneity analysis
| Variable | 东部 | 中西部 | 东部 | 中西部 |
|---|---|---|---|---|
| M1 | M2 | M3 | M4 | |
| Cpt_Oc | Cpt_Oc | Cpt_Ph | Cpt_Ph | |
| Std | 0.0095*** | -0.0030 | -0.0302*** | -0.0247*** |
| (3.1468) | (-0.7668) | (-12.1957) | (-8.4141) | |
| _cons | 0.5289*** | 0.6968*** | 0.2806*** | 0.2619*** |
| (16.5771) | (12.7162) | (10.7519) | (6.3728) | |
| Controls | Yes | Yes | Yes | Yes |
| 个体固定 | Yes | Yes | Yes | Yes |
| 时间固定 | Yes | Yes | Yes | Yes |
| N | 6903 | 3276 | 6903 | 3276 |
| adj. R2 | -0.000 | 0.039 | -0.016 | 0.013 |
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