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This study aims to explore how relationship trust and different types of influence strategy (i.e., non-coercive and coercive influence strategy) impact green customer integration (GCI), while investigating the moderating mechanisms of big data development and social capital.

Following hierarchical linear regression analysis, the authors examine hypothesized relationships by combining survey data from 206 Chinese manufacturers with secondary data.

The results show that relationship trust positively affects non-coercive influence strategy, while its impact on coercive influence strategy is insignificant. Non-coercive influence strategy has an inverted U-shaped impact on GCI. Furthermore, big data development flattens the inverted U-shaped relationship between non-coercive influence strategy and GCI. Conversely, social capital steepens the inverted U-shaped relationship between non-coercive influence strategy and GCI.

This study sheds light on managers on how to involve customers in GCI through friendly strategies that favor the involvement of customers and the willingness to develop environmentally friendly initiatives.

Although GCI has received widespread attention, how it can be enhanced remains unclear. These findings provide novel insights into the emerging GCI literature and complement social exchange theory.

This study aims to investigate the complex relationship between digitalization capability (DC) and radical innovation performance (RIP). In particular, this study sheds new light on the results of previous studies on the effects of DC on firm innovation.

The authors obtained questionnaire data from 271 IT managers of randomly selected high-tech Chinese firms. The data was used to empirically test the proposed hypotheses using hierarchical regression analysis.

The findings of this study reveal that DC has an inverted U-shaped effect on RIP. Knowledge accumulation (KA) has a partial mediating effect on the DC–RIP link. Knowledge integration capability (KIC) was found to moderate the DC–RIP relationship: the higher a firm’s KIC, the flatter the DC–RIP curve. Moreover, there is empirical evidence of the shape-flip phenomenon of the DC–RIP curve: when KIC > 1.82, the DC–RIP relationship is no longer an inverted U-shaped but presents as a U-shaped curve.

This study explores the DC–RIP relationship from the perspective of knowledge management, deepens the research scope of digitalization and lays the foundation for subsequent research.

This study provides potential explanations for contradictory views of the effect of DC on innovation in the existing literature by revealing the nonlinear relationship of DC and RIP and the important roles of KA and KIC in that relationship. The new insights into the role of KIC as a threshold for the DC–RIP link provide a direction for firms to control the pace of digital transformation.

The existence of the regional Kuznets curve, i.e. an inverted U-shaped relationship between regional disparity and economic development is widely debated and discussed. The bell-shaped curve of the spatial growth process where during the initial phase inequality increases and then reduces is theoretically supported by Myrdal (1957), Hirschman (1958), and Williamson (1965). It becomes important to understand regional Kuznets curve globally. Understanding the relationship between regional disparity and economic development becomes essential for public policy for balanced regional growth.

Regional Kuznets Curve which is an inverted U-shaped relationship between regional disparity and economic development is not a new phenomenon. Theoretical framework by Myrdal (1957), Hirschman (1958), and Williamson (1965) support the an inverted U-shaped relationship. To understand the relationship between regional disparity and economic development, the authors investigate the regional Kuznets curve by using data for 184 countries and 1765 subnational regions. Using parametric, semi-parametric, and non-parametric, it is found that there exists an inverted U-shaped relationship between regional disparity and economic development. The presence of the regional Kuznets curve is observed. As the theoretical framework suggests, regional inequality increases with income initially and decreases after attaining a certain level of income. This study identifies two stages of divergence-convergence where in the first stage, divergence across regions in a country happens with increasing income and in the later stage, convergence across regions in a country occurs with increasing income.

Using the parametric approach (panel data analysis), semi-parametric and non-parametric approaches, it is found that there exists a regional Kuznets curve. It is found that there exists an inverted-U relationship between regional inequality and per capita GNI. This suggests that the divergence-convergence passes through two stages. In the first stage, divergence across regions in a country happens with increasing income while in the later stage convergence occurs.

This research work has done three important things which fill the research gap that exists in the literature: (1) constructing the Gini coefficient to measure the regional inequality for 184 countries using 1765 subnational regional data; (2) using a parametric approach (panel data analysis) to understand the regional Kuznets phenomenon and (3) using a semi-parametric approach and non-parametric approach to understand the regional Kuznets phenomenon.

Past research has generally purported and tested for a positive linear relationship between psychological capital and organizational outcomes such as firm performance. Yet, recent conceptual work has started to recognize that for certain outcomes, too much psychological capital can be as detrimental as too little. In this study, the author hypothesizes that during a major crisis, organizational psychological capital (OPsyCap) may in fact exhibit an inverted U-shaped relationship with performance.

T leverages the revelatory power of a recent major crisis (the COVID-19 pandemic) to gather a pre-crisis and post-crisis matching sample of 952 earnings conference calls held by 476 S&P 500 firms with corresponding market performance data and use computer-assisted text analysis (CATA) methodology to assess OPsyCap from call transcripts.

T finds that OPsyCap has a statistically significant inverted U-shaped relationship with market performance after the crisis, but not prior—thereby suggesting that moderate OPsyCap is more beneficial to market performance than either insufficient or excessive OPsyCap in times of crisis.

Top managers should not display overly excessive psychological capital after a major crisis, as shareholders may interpret such cues as unwarranted optimism, overconfidence and an inability to accept the new reality brought about by the crisis.

This study's findings contribute to extant literature by being the first to empirically highlight a curvilinear relationship between psychological capital and an important outcome variable—market performance. Furthermore, this study's lack of results prior to a major crisis, but not after, may suggest a new boundary condition.

It is imperative to achieve sustainable growth in farmers' earnings to sustain poverty alleviation efforts and achieve rural revitalization goals. The authors investigated the nature of the non-linear relationship between farmers' e-commerce participation and income growth, analyzed the rationale behind this correlation and examined the moderating effect of digital finance on this relationship.

The authors conducted an empirical investigation using rural household data from the China Household Finance Survey and the regional digital finance index compiled by Peking University. The authors employed a fixed-effect model and a moderating effect model to identify the non-linear influences of e-commerce participation on farmers' income and to analyze the positive synergies of digital finance. The authors used identification and estimation techniques to mitigate the endogeneity problem, specifically employing heteroscedasticity-based instruments.

There is an inverted U-shaped relationship between e-commerce participation and farmers' income. Digital finance reduces the declining trend in the marginal effects of e-commerce and increases marginal values. Furthermore, the synergistic effect can promote the quality and efficiency of business activities by easing credit constraints, reducing risk aversion and stimulating innovative activities, which in turn can lead to sustained revenue growth.

Few studies have focused on the non-linear relationship between e-commerce and farmers' income. This implies that achieving sustained income growth using e-commerce alone is difficult. The synergy between e-commerce and digital finance is a feasible path for achieving this goal.

This study investigates firms' innovation behaviour under environmental change. Therefore, it examines the effect of trade disputes on corporate technological innovation and how product market competition moderates this relationship.

This research tests the hypotheses using the fixed effects model based on panel data of publicly listed enterprises in China from 2007–2020.

The empirical results validate the positive association between trade disputes and corporate research and development (R&D) intensity as well as the U-shaped relationship between trade disputes and radical innovation. Additionally, the moderating effect of product market competition is verified: a concentrated market with less competition flattens the U-shaped curve of radical innovation induced by trade disputes; as the market becomes more concentrated and less competitive, the U-shaped relationship eventually turns into an inverted U.

First, this study contributes to the corporate innovation and trade dispute literature by expanding the environmental antecedents of technological innovation and the firm-level consequences of trade disputes. Second, this study enriches the theoretical framework of the environment–innovation link through an integrated perspective of contingency theory and dynamic capabilities view. Third, instead of the traditional linear mindset which had led to contradictory results, this study explores a curvilinear effect in the environment–innovation relationship.

Based on the socio-emotional wealth and agency theories, this study empirically investigates the impact of family ownership and management on green innovation (GI) in family businesses, as well as the moderating effects of institutional environmental support factors, namely, the technological achievement marketisation index and the market-rule-of law index.

This study empirically tests the hypotheses based on a sample of listed Chinese family companies with A-shares in 14 heavily polluting industries from 2009 to 2019.

There is a U-shaped relationship between the percentage of family ownership and GI, and an inverted U-shaped relationship between the degree of family management and GI. Additionally, different institutional environmental support factors affect these relationships in different ways. As the technological achievement marketisation index increases, the U-shaped relationship between the percentage of family ownership and GI becomes steeper, while the inverted U-shaped relationship between the degree of family management and GI becomes smoother. The market rule-of-law index weakens the U-shaped relationship between family ownership and GI.

First, the authors enrich the research on the driving factors of GI from the perspective of the most essential heterogeneity of family businesses. This study shows nonlinear and opposite effects of family ownership and management on GI in family firms. Second, this study contributes to the literature on family firm innovation. GI, not considered by researchers, is regarded as an important deficiency in research on innovation in family businesses. Therefore, this study fills that gap. Third, the study expands research on moderating effects in the literature on GI from the perspective of institutional environmental support factors.

Research on the effect of executive equity incentives is equivocal. Based on agency theory, some scholars take the convergence of interest logic to highlight the benefits of executive equity incentives. In contrast, others adopt the entrenchment logic to emphasize the increased agency costs. This study attempts to reconcile the debate on executive equity incentives and integrates the opposing views to unveil how executive equity incentives impact corporate social responsibility (CSR) performance.

Using the panel dataset of Chinese A-share listed firms from 2006 to 2022, this study integrates the convergence of interest and entrenchment logic to examine how executive equity incentives affect CSR performance.

We find that the relationship between executive equity incentives and CSR performance follows an inverted U-shaped form. According to the convergence of interest logic, executive equity incentives reduce agency costs when allocating resources to engage in CSR activities and enable firms to increase their CSR investments, ultimately realizing increased CSR performance. After a threshold, however, the accumulation of extensive equity incentives causes the entrenchment effect, resulting in declined CSR performance. Our empirical results also shed new light on its contingent perspective – the inverted U-shaped relationship is attenuated when firms’ stock liquidity is high.

This study attempts to reconcile the debate on executive equity incentives and integrates the opposing views to unveil the inverted U-shaped relationship between executive equity incentives and CSR performance. Our study opens promising avenues for further research on corporate governance and CSR strategies.

Prior studies have confirmed market segmentation as an important shackle to China's macroeconomy upgrade, but the systematic analysis of microenterprise upgrade remains inadequate. This paper aims to investigate the nonlinear impact of market segmentation on microenterprise upgrade.

The price method was applied to calculate China's provincial market segmentation, including commodity, capital, labor and energy. The generalized method of moments was employed to examine the nonlinear impact of market segmentation on the upgrading of manufacturing enterprises based on microenterprise data from 2003 to 2019.

First, China’s heterogeneous market segmentations have been significantly reduced. Macroeconomics and policies are critical factors in market integration. Second, there is an inverted U-shaped relationship between China’s total market segmentation and the upgrading of manufacturing enterprises. Third, the relationship between the commodity market segmentation, labor market segmentation, energy market segmentation and manufacturing enterprises' upgrade is shown as an inverted U-shaped. Nevertheless, the relationship between the capital market segmentation and upgrading of manufacturing enterprises exhibits a U-shape.

The impact of market segmentation on the upgrading of manufacturing enterprises in China performs nonlinearly. An inverted U-shaped relationship exists between market segmentation in commodity, labor and energy and the upgrading of manufacturing enterprises, while a U-shaped relationship prevails between capital market segmentation and the upgrading of manufacturing enterprises.

Effectively engaging patients is critical for the sustainable development of online health communities (OHCs). Although physicians’ general knowledge-sharing, which is free to the public, represents essential resources of OHCs that have been shown to promote patient engagement, little is known about whether such knowledge-sharing can backfire when superfluous knowledge-sharing is perceived as overwhelming and anxiety-provoking. Thus, this study aims to gain a comprehensive understanding of the role of general knowledge-sharing in OHCs by exploring the spillover effects of the depth and breadth of general knowledge-sharing on patient engagement.

The research model is established based on a knowledge-based view and the literature on knowledge-sharing in OHCs. Then the authors test the research model and associated hypotheses with objective data from a leading OHC.

Although counterintuitive, the findings revealed an inverted U-shape relationship between general knowledge-sharing (depth and breadth of knowledge-sharing) and patient engagement that is positively associated with physicians’ number of patients. Specifically, the positive effects of depth and breadth of general knowledge-sharing increase and then decrease as the quantity of general knowledge-sharing grows. In addition, physicians’ offline and online professional status negatively moderated these curvilinear relationships.

This study further enriches the literature on knowledge-sharing and the operations of OHCs from a novel perspective while also offering significant specific implications for OHCs practitioners.