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The purpose of this paper is to provide evidence that the U‐shaped relationship between intellectual property rights (IPRs) and per capita gross domestic product (GDP) observed in the past literature using a panel of data is not a consequence of longitudinal forces, as has been previously postulated, but instead a consequence of cross‐sectional influences.

Differences in the longitudinal and cross‐sectional relationship between IPRs and per capita GDP are analyzed through a variety of methods, including pooled regression analysis that isolates the regional differences that are critical in making an accurate longitudinal analysis from the panel data.

Analyzing the country data reveals that a longitudinal U‐shaped relationship is counterfactual, as countries generally do not weaken their IPRs once they are in place, barring a regime change or other alteration in their political economy. The significant U‐shape link between IPRs and per capita GDP empirically observed in preliminary analysis of the panel data is instead a result of cross‐sectional influences.

Making the distinction between the cross‐sectional and longitudinal relationship between IPRs and per capita GDP provides a more accurate insight about how IPRs change in a country as it develops.

The purpose of this paper is to study the influence of financial flexibility (FF) on enterprise performance (EP) within Taiwan’s hospitality industry during the COVID-19 shock and explore whether EP varies with hospitality industry characteristics.

Secondary data of 39 Taiwan Stock Exchange-listed hospitality firms were collected from the Taiwan Economic Journal databases. Quantile regression analysis was applied to examine the FF-EP relationship

The results evidence that there is a U-shaped (convex) FF-EP relationship for hospitality firms in the 10th, 25th and 50th Tobin’s Q quantiles and in asset-heavy firms. For asset-light firms, FF has an inverted U-shaped (concave) effect on EP in the 90th Tobin’s Q quantile

The empirical results highlight the need for Taiwan’s hospitality industry as a whole to take rolling adjustment and optimization of FF and concentrate on liquidity risk management after the COVID-19 pandemic and for long-term sustainability.

To the best of the authors’ knowledge, this study is one of the first to examine the nonlinear FF-EP relationship in the hospitality industry of Taiwan, particularly amid the COVID-19 shock. Moreover, this study extends current literature by revealing the hospitality industry’s FF-EP relationship and highlights the importance of the pandemic crisis context.

This article examines the effect of the customer focus (CF) group of competencies, which includes communication and negotiation skills, on project performance as measured by reaching the internal and the overall budget, the quality, and the deadline goals.

The multiple regression model was based on a dataset from Trimo, an engineering and production company of prefabricated buildings.

The inverted U-shaped relationship of the CF group has been proven to exist with all project goals.

The present study provides a starting-point for further empirical research on the international construction sector, projects, teams, and competence research.

In recent years, scholars have questioned the linear relationship between challenge stressors and positive outcomes. Nevertheless, few studies have examined whether challenge stressors and workplace learning outcomes have an inverse U-shaped relationship. Therefore, this study aims to determine whether challenge stressors have an inverse U-shaped relationship with workplace learning outcomes among young Japanese employees.

Data were collected from 1,257 individuals in two time periods through an internet survey and analyzed using regression analysis.

The findings suggest that challenge stressors have an inverse U-shaped relationship with workplace learning outcomes.

The relationship between challenge stressors and workplace learning outcomes is positive until a certain point and becomes negative after a certain point. Hence, when promoting learning outcomes among young employees, supervisors should be careful to avoid subjecting employees to very little or excessive amount of challenge stressors.

This study provides evidence supporting the assumption that the relationship between challenge stressors and positive outcomes has an inverted U-shape.

Corporate social responsibility (CSR) and innovation are the two main approaches firms utilize to promote sustainable development. However, as yet, scholars have reached no consensus regarding their precise impact on construction firm performance (CFP), hindering efforts to implement effective sustainable development strategies that improve CFP. In view that a simple linear relationship may not be sufficient to capture their precise pattern, this study aims to unveil the nonlinear impact of CSR and innovation on CFP, especially when construction firms take up a distinct competitive position.

This study first proposed four hypotheses to establish a new theoretical model by incorporating CSR, innovation, CFP and construction firms' competitive position (CFCP). Then the model was tested by using 292 annual observations collected from 75 construction firms in China. A multiple regression model analysis was carried out to analyze the survey data and validate the hypotheses.

The results reveal that both CSR and innovation have a U-shaped impact on the price-to-book ratio of a construction firm, a specific CFP measure. CFCP negatively moderates the U-shaped relationship between CSR and CFP, but positively moderates the U-shaped relationship between innovation and CFP.

This study goes beyond a simple linear view, instead of unveiling the nonlinear U-shaped effects of CSR and innovation on CFP that deepen the understanding of their complex relationships in the construction industry and makes construction firms aware that CSR and innovation can only improve performance if they reach a certain level. The moderating role of CFCP provides important implications for construction firms seeking to adopt appropriate competitive strategies related to social responsibility and innovation that both promote CFP and achieve sustainable development.

The purpose of this research is to explore the relationship between supervisor-subordinate Guanxi (SSG) and employee affective commitment. Integrating social exchange theory (SET) with conservation of resource (COR) theory, this paper explores the mixed effect of SSG on affective commitment as well as the moderating roles of an individual difference (subordinate work ethic) and a contextual variable (procedural fairness).

This research adopted a survey involving 249 subordinates to test the hypothesized model.

The results showed that the relationship between SSG and affective commitment was inverted U-shaped, and this relationship was moderated by work ethic and procedural fairness, respectively.

Despite those contributions listed above, there are still some limitations that future research should seek to address. First, the data of this research are cross-sectional, which might cause common method bias to responses. However, all the hypotheses are higher-order forms of the main effects (curvilinear and moderating effects), which are not affected by the cross-sectional nature of the study (Podskoff et al., 2003). Moreover, given these variables in the model are related to subordinates' internal psychological states or perceptions, data for the study should be collected from subordinates. Relatedly, the cross-sectional nature of the dataset may raise a question about the directionality of the relationships. However, the research model is based on strong theories (i.e. SET and COR theory). In addition, prior research has indicated that Guanxi has an influence on commitment, not vice versa (Cheung et al., 2009; Chen and O'Leary, 2018). However, given that only experimental design can conclusively prove the directionality of the relationship, the authors encourage to replicate the current study using such a design. In addition, the authors encourage future studies to collect longitudinal data and replicate the current study. Second, this study only tested how work ethic and procedural fairness moderated the relationship between SSG and affective commitment. The authors encourage future research to explore the moderating effect of other moderators, such as the integrity of supervisors. In particular, when the supervisor has a high level of integrity, the negative influence of higher SSG may be weakened. Third, this study did not explore the mechanism linking SSG with affective commitment. Future studies should explore the potential mechanisms. For example, subordinates' emotional exhaustion might be the potential mechanism between SSG and affective commitment.

The results imply that supervisors should treat SSG as a double-edged sword and maximize the positive influence of SSG. In addition, organizations should hire individuals with high work ethic or provide related training. At last, organizations should realize the importance of procedural fairness and set a sector that oversees making and executing well-designed roles.

Previous studies on SSG mainly focused on its positive effect on affective commitment, neglecting to explore its negative effect. This paper helped to illustrate the relationship between SSG and affective commitment comprehensively by indicating the relationship between SSG and affective commitment was inverted U-shaped and moderated by work ethic and procedural fairness, respectively.

Servitization of products is becoming increasingly prevalent among manufacturing enterprises. Existing research has primarily focused on exploring whether the direct impact of servitization on manufacturer performance follows a linear or a curvilinear relationship. However, the understanding of the underlying mechanisms between servitization and manufacturer financial performance remains limited. This paper aims to examine the non-linear relationship between servitization and manufacturer performance as well as the mediating process and boundary condition associated with this relationship.

Drawing on resource-advantage theory, this paper proposes a theoretical model of the U-shaped relationship between servitization and the financial performance of equipment manufacturers. Panel data of 248 listed equipment manufacturers in China during the period of 2010–2020 are used to test each hypothesis through the ordinary least square method.

The empirical results indicate that servitization follows a U-shaped relationship with service business focus and the financial performance of equipment manufacturers. Service business focus mediates this U-shaped relationship between servitization and financial performance, and digital technology application moderates this relationship.

This paper pioneers the unraveling of the potential mechanism that can explain the curvilinear relationship between servitization of manufacturers and financial performance. This mechanism is the focus of the service business, which is theoretically delineated and empirically tested. Furthermore, digital technology application enables manufacturers to achieve service business focus more effectively in the process of servitization. Thus, this study addresses the call for research on digital servitization.

This paper aims to shed some new light on the mixed findings of previous empirical studies on the effect of knowledge search breadth (SB) on firms’ 2019 innovation performance (IP).

The paper adopts a contingent approach that examines the two organizational factors in determining the shape of the SB-IP curve. The empirical study is based on survey data gathered from 414 Chinese firms. In dealing with concerns on simultaneity and reverse causality, perceived time-lag between outcome variable and explanatory variables was introduced.

This study reveals that knowledge novelty and absorptive capacity are two functions underlying the SB-IP relationship. The results also indicate that innovation orientation and firm age moderate the SB-IP relationship in different ways: the more innovation-oriented the firm, the steeper the inverted U-shaped SB-IP relationship will be, while the older the firm, the flatter the SB-IP relationship will be. Interestingly, there is strong evidence for the shape-flip phenomenon of the SB-IP curve: SB has an inverted U-shaped effect on IP when a firm is young; however, SB has a U-shaped effect when the firm is older than 37 years.

By revealing two underlying functions and two moderators of the association between SB and IP at the firm level, this paper contributes to shed some new light to the mixed results reported by previous empirical studies that have examined the effect of knowledge search on firm innovation.

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.

The study aims to investigate the interplay among digital technologies, intellectual capital and innovation. Thus far, there have been scant research on such intricate bundle of interactions. Also, the findings of previous studies were rather inconclusive, because conflicting results emerged over time. Building on the existence of heterogeneous evidences, this study solved the detected criticism by suggesting a curvilinear relationship among digital technologies, digital skills of human capital and intellectual property. Specifically, we argue that the relationship between digital technologies and intellectual property is inverted u-shaped.

Hypotheses are tested by applying a generalized linear model (GLM) regression analysis and a quadratic model for non-linear regression. The study analysed a large-scale sample of micro-data drawn from Eurostat. Such sample embraces the population of firms operating in all European member states.

Overall, the results of the study confirm that digital technologies are curvilinearly related to intellectual property. Precisely, the curve is inverted u-shaped. Notably, results show that digital skills only matter when employees have very demanding duties to accomplish. In all other cases, digital skills do not affect intellectual property significantly.

The research is solely focused on firms' operating in the European Union. Future studies should extend the analysis to other geographies.

At a real impact level, the study suggests that intellectual property is only partially fostered by digital skills and digital technologies. In this sense, digital skills might be overrated.

Differently from prior research, this study originally detangles the impact of digital technologies on firm's intellectual capital by suggesting the existence of an inverse u-shaped relationship between variables.