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<b>Technology Analysis & Strategic Management</b>

<b><small>ISSN: (Print) (Online) Journal homepage: www.tandfonline.com/journals/ctas20</small></b>

<b>To exploit or explore? Research on the relationshipbetween performance gap and ambidexterity</b>

<b>Qunpeng Fan, Songsong Cheng, Dongphil Chun & Yan Zhang</b>

<b>To cite this article: Qunpeng Fan, Songsong Cheng, Dongphil Chun & Yan Zhang (21</b>

Feb 2024): To exploit or explore? Research on the relationship between performance gap and ambidexterity innovation, Technology Analysis & Strategic Management, DOI: 10.1080/09537325.2024.2319596

<b>To link to this article: online: 21 Feb 2024.

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To exploit or explore? Research on the relationship between performance gap and ambidexterity innovation

Qunpeng Fan<sup>a,b</sup>, Songsong Cheng<sup>c</sup>, Dongphil Chun<sup>b</sup>and Yan Zhang<sup>d</sup>

School of Economics, Management and Law, Jilin Normal University, Siping, People’s Republic of China;<small>b</small>

Graduate School of Management of Technology, Pukyong National University, Busan, Korea;<sup>c</sup>School of Economics and Finance, South China University of Technology, Guangzhou, People’s Republic of China;<small>d</small>

School of Management, Guangzhou College of Technology and Business, Guangzhou, People’s Republic of China

What type of innovation strategy a firm will adopt when facing the performance gap, and how this strategy will affect the firm’s long-term growth, are important theoretical questions. Based on the behavioural theory of thefirm, we aim to investigate the mechanism through which the performance gap influences ambidexterity innovation from an industrial aspiration perspective. Utilising a sample of A-share manufacturing listedfirms in China from 2007 to 2018, we employ Stata 16.0 to test hypotheses. The findings reveal an inverted U-shaped relationship between performance gap and exploitative innovation and a U-shaped relationship between performance gap and exploratory innovation. That is, when firms experience a gap between their performance and industrial aspiration, they tend to prioritise exploitation over exploration as their innovative approach. Exploitative innovation and exploratory innovation have an inverted U-shaped and U-shaped impact on the value recreation capability, respectively, under the performance gap. Based on the exploitation-exploration ambidexterity innovation framework, we empirically validate the ‘local-beyond local’ problem search logic posited by the behavioural theory of the firm. Furthermore, by comparing the differentiated recovery effects of exploitative and exploratory innovations, we address the sequential allocation challenges in innovation activities for

In the aftermath of the emergence of unforeseen‘black swan’ and ‘gray rhino’ events, and the sub-sequent profound repercussions, numerous enterprisesfind themselves ensnared in the quagmire of diminishing market share and trailing behind benchmark companies in terms of performance. Scho-lars characterise this adverse scenario as a performance gap. According to the behavioural theory of thefirm (BTOF), when organisational performance fails to meet predefined aspiration, enterprises embark on a quest to identify problems and strategically address performance shortcomings (Cyert and March1963). Consequently, considerable scholarly attention has been devoted to exam-ining the problem-searching behaviour and strategic change patterns of underperformingfirms. Among these, innovation, a classic strategic behaviour employed byfirms to establish a competitive advantage (Le Roy, Robert, and Hamouti 2022; Morandi Stagni, Fosfuri, and Santaló 2021), has

<small>CONTACTYan of Management, Guangzhou College of Technology andBusiness, Guangzhou 510850, People’s Republic of China</small>

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garnered widespread attention and undergone extensive scrutiny. However, existing research on the relationship between performance gap and innovation yields inconclusivefindings.

To address the inconsistency in existingfindings, we first undertake a re-evaluation of the aspira-tion reference point, aiming to redefine the characterisation of the performance gap by substituting the mixed model with a separated model. Previous studies have commonly depicted the perform-ance gap by ascribing varying weights to historical aspiration and industrial aspiration, favouring higher weights for the latter and lower weights for the former to formulate a mixed model (Parker, Halgin, and Borgatti2016). However, it is essential to recognise that historical aspiration centre on the organisation’s own past performance, while industrial aspiration revolves around the performance of the organisation’s competitors (Kim, Finkelstein, and Haleblian2015). These dis-tinct dimensions carry different managerial implications (Manzaneque et al.2020; Mount and Baer

2022). Building on this insight, we disentangle industrial aspiration from historical aspiration and adopt a separated model represented by the industrial aspiration to characterise the performance gap. Second, we serve to elucidate the theoretical foundation and employ the problem search logic intrinsic to BTOF. The pivotal concept of BTOF is the ‘local-beyond local’ problem search logic. According to Cyert and March (1963), when a performance gap arises, enterprises typically engage in problem searches within the local realm of the organisation. Only if the incremental sol-ution of updating the existing product proves insufficient to resolve the performance gap, will the enterprise go beyond its local expertise to explore newer and broader technologies. Building on the logic of problem search, wefind that the innovation activities of underperforming firms are complex and diverse, aligning with the connotation of ambidexterity innovation. Hence, we introduce the third research extension, wherein, grounded in March’s ambidexterity theory, we classify innovation into exploitative innovation (ELI) and exploratory innovation (ERI) (Jansen, Van Den Bosch, and Vol-berda2006). ELI involves the reconstruction of local knowledge and optimisation of existing product technology, ERI strives to beyond local knowledge boundaries and leverage novel insights (Donbe-suur et al.2023). Building upon the aforementioned analysis, we employ the problem search logic to scrutinise the strategic decision-making behaviour associated with ambidexterity innovation in the context of the industrial performance gap, with industrial aspiration serving as the pivotal reference point.

Furthermore, the complete problem search chain encompasses the performance gap, organis-ational response, and value recreation. The achievement of value recreation in firms grappling with the performance gap is a topic of considerable interest to enterprises. Value recreation involves the operational recovery or enhancement of profitability for an enterprise following a downturn (Santana, Valle, and Galan 2017). While the performance gap influences enterprises’ inclination towards ELI and ERI, it remains uncertain whether ambidexterity innovation can enhance the organ-isation’s value recreation capacity. Therefore, aligning with the primary analytical thread of problem search, we not only delve into the ambidexterity innovation strategies of underperformingfirms but also scrutinise the impacts of different innovation behaviours on value recreation capacity. Specifi-cally, we analyse whether ELI and ERI exhibit differential effects on an organisation’s value recreation capacity in the aftermath of the performance gap.

The paper’s research contributions are reflected in three aspects: First, a separated model is employed to distinguish industrial aspiration from historical aspiration, with a specific emphasis on the relationship between the industrial performance gap andfirm innovation. The study contrib-utes to the formation of consistent conclusions in performance feedback-related studies. Second, we incorporate the exploitation-exploration ambidexterity innovation framework into the performance gap model. This not only confirms the ‘local-beyond local’ problem search logic of BTOF but also verifies the complexity and diversity of enterprises’ innovative response mechanism to dilemmas. Third, exploring the distinct value recreation effect of ambidexterity innovation within enterprises facing the performance gap, not only guides the resolution of sequential allocation challenges in innovation activities for underperforming enterprises but also addresses the missing logic in the latter part of the‘performance gap-organizational response-value recreation’ framework.

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2. Literature and hypothesis 2.1. Performance gap

Performance gap emerges through a comparison of the enterprise’s present performance against its historical benchmarks (historical aspiration) and/or the performance of its industrial peers (industrial aspiration). As research progresses, scholars suggest focusing on separated model rather than a mixed model, especially the industrial performance gap (Yu, Minniti, and Nason 2019). This rec-ommendation stems from scholarly observations indicating that, owing to the pressures of iso-morphism, the industrial performance gap exerts a more significant influence on firms’ subsequent strategic responses than the historical performance gap does. Dong’s (2021) simulation results further affirm that, in most cases, referencing industrial aspiration optimally informs firms’ technology-related strategic choices. Thus, we adopt the industrial aspiration perspective and define the performance gap as a state of discrepancy wherein a firm’s actual performance falls below its degree of industrial aspiration.

2.2. Ambidexterity innovation

Ambidexterity innovation refers tofirms participating in both exploitative and explorative activities (Jansen, Van Den Bosch, and Volberda2006). ELI aims at extending current technology and seeking greater efficiency and improvements to improve existing product-market standings. ERI aims to identify new market trends and engage in innovation beyond the existing product-market domain. The extant view of ambidexterity innovation recognises that exploitation and exploration, two contradictory yet interrelated activities, can separate and coexist over time (Andriopoulos and Lewis2009; Lennerts, Schulze, and Tomczak2020; Osiyevskyy, Shirokova, and Ritala2020). The con-ceptualisation of separation builds on the competition perspective and emphasises that exploitation and exploration usually compete for organisational resources. The conceptualisation of coexistence proposes that exploitation and exploration are considered interdependent activities.

2.3. Problem-based search logic

Problem-based search constitutes a core concept in BTOF. Jung and Lee (2016) posit that afirm’s local search entails seeking knowledge akin or closely related to the existing expertise of thefirm. Organisations also tend to learn more effectively in local areas of familiar or related technologies (Posen et al.2018). It is only when a satisfactory solution proves elusive through local search that firms find the motivation to transcend their local inclinations and venture beyond their current narrowfield of expertise in problem search. In contrast to local search, beyond local search delves into technologies that are unfamiliar, irrelevant, and distant from the firm’s existing knowledge base. This exploration into uncharted territory is more likely to result in breakthrough solutions for thefirm (Gambeta, Koka, and Hoskisson2019).

2.4. Performance gap and ambidexterity innovation

Based on the problem search logic of BTOF, we propose the existence of an inverted U-shaped relationship between the performance gap and ELI. Specifically, when organisational performance falls below the industrial aspiration and still in the neighbourhood of the industrial aspiration level,firms are compelled to seek incremental solutions to address competitive deficiencies in the current market (Ref and Shapira2017). This approach opens up opportunities for value recreation and the attainment of desired goals. When organisational performance falls below industrial aspira-tion but well below industrial aspiraaspira-tion level, the organisaaspira-tion must transcend localised search efforts to find effective problem-solving strategies (Diwei Lv et al. 2021). A severe performance

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gap undermines the efficacy of business management and strategy execution (Cheng et al.2022). While maintaining the current product model can improve operational efficiency, it fails to address the underlying business predicament and may lead to increased external business pressures. On the other hand, adopting unconventional product practices and breaking away from established technology paradigms has been shown to enhance performance. Psychological research has further shown that the accumulation of failures weakens the self-efficacy of individuals with limited ration-ality. Consequently, poor business performance diminishes decision-makers’ confidence in navigat-ing uncertainty usnavigat-ing existnavigat-ing organisational strategies (Tarakci et al.2018), leading them to favour deviations from the original technological trajectory in pursuit of innovative activities. In summary, as the performance gap widens,firms tend to adopt a ‘local-beyond local’ logic of problem search, and the phenomenon of ELI appears to peak and subsequently decline. Thus, we predict the following:

<small>H1: There is an inverted U-shaped relationship between performance gap and ELI.</small>

Based on the simplicity and process characteristics of problem-based search, our argument suggests that the performance gap leads to a U-shaped change infirms’ ERI, wherein ERI first decreases and then increases. As March (1991) emphasises, exploration necessitates elements such as‘search, vari-ation, experimentvari-ation, play,flexibility, discovery, and innovation’ (71). Thus, ERL involves breaking free from organisational strategic constraints, deviating from established technological practices, and transcending local organisational boundaries (Lei, Khamkhoutlavong, and Le2021). When the performance falls below industrial aspiration and still in the neighbourhood of industrial aspiration level, decision-makers tend to focus their attention on localised aspects of the organisation. The narrow scope of technological search in this situation is inconsistent with the innovative foundation of experimentation, creativity, and risk-taking, thereby weakening ERI. When organisational perform-ance falls below industrial aspiration but well below industrial aspiration level, decision-makers are more motivated to explore problems beyond the local realm. Engaging in cross-boundary activities across industries and technologies can assistfirms in creating new cognitive schemas for technology. This, in turn, stimulatesfirms to break away from conventional technology practices and challenge the established technological architecture, effectively fostering ERI. In summary, as the performance gap increases, ERI exhibits a U-shaped curve change. Thus, we predict the following:

<small>H2: There is a U-shaped relationship between performance gap and ERI.</small>

3. Research methods 3.1. Data source

The paper uses data from the CSMAR database and focuses on the listed manufacturing businesses in Shanghai and Shenzhen A-shares from 2007 to 2018 as the research sample. The choice of the manufacturing industry is driven by two reasons. First, it helps to reduce the biased impact of indus-try differences on organisational innovation decisions. Second, the manufacturing industry is a subject of innovation subjects in China, making it a suitable area for this study. During the initial sample screening process, we exclude the samples of ST and * STfirms, as well as the firms with missing critical data. After this screening process, thefinal dataset comprises 8857 valid samples. To ensure data quality, all continuous variables have been winsorised, meaning that extreme values were adjusted to the 1% and 99% quantiles.

3.2. Measurement 3.2.1. Performance gap

We use Return on Assets (ROA) as a measure of firm performance. Drawing on Chen’s (2008) research, we employ two procedures to measure the performance gap. First, we calculate the

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industrial aspiration level (IA) using Formula (1). This involves computing the weighted average value of thefirm’s industry median level in the t-2 (weight of 0.4) and t-1 period (weight of 0.6).

1)IA<sub>t</sub> represents industrial aspiration level in period t, IPer<sub>t-1</sub> stands for industry performance median in period (t-1), and IPer<sub>t-2</sub>stands for industry performance median in period (t-2).

Second, we assess the degree of the performance gap by subtracting the IA from the actual per-formance. If the result is less than 0, it indicates that thefirm is in the performance gap; if it is greater than or equal to 0, it means that thefirm is performing above par. To handle the data, we use the truncated dummy variable method in Formula (2) (Ref and Shapira2017; Tarakci et al.2018). Pert represents the actual performance in period t, and I is the dummy variable constructed for this study. If the result of (Per<sub>t</sub>- IA<sub>t</sub>) is less than 0, I take the value 1. If the result is greater than or equal to 0, I take the value 0. Finally, we take the absolute value of PG<sub>t</sub>to capture its magnitude.

PG<small>t</small>= I (Per<small>t</small>- IA<small>t</small>) (2)

3.2.2. Ambidexterity innovation

Based on the Accounting Standards for Business Enterprises in China, Bi et al. (2017) devised a method to measure ambidexterity innovation. In this method, investment in the research stage is considered ERI investment, while investment in the development stage is regarded as ELI invest-ment. Consistent with their approach, we measure ELI and ERI using capitalisation and expense expenditure of R&D investment.

3.2.3. Control variables

We set up several control variables: the integration of the chairman and CEO (Duality), political con-nections (PC),firm age (Age), firm size (Size), the proportion of independent directors (Ind), TMT shareholding ratio (TMTshare), equity concentration (EC), slack resources (Slack), the nature of prop-erty right (NPR), the threat of bankruptcy (Bkrupt), market environmental dynamics (Market). We also set up an annual dummy variable to account for the effect of year evolution on firm innovation decisions.

3.3. Models

Based on the research hypothesis, we set the following panel data models:

Y= b<small>0</small>+ b<small>1</small>PG+ b<small>2</small>PG<small>2</small>+ b<small>3</small>CV+1 (3) Where Y is the dependent variable, represented by ELI and ERI; PG stands for performance gap, PG<sup>2</sup>is the quadratic term of the performance gap, CV is a set of control variables, and⍰ is the residual term.

4. Results

4.1. Descriptive statistics

Table 1shows descriptive statistics and correlations for the main variables. The average value of ELI is 0.018, with a standard deviation of 0.064, indicating that the samples exhibit variability in ELI.

<small>Table 1.Results of descriptive statistics and correlation analysis.</small>

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Similarly, the average value of ERI is 0.084, with a standard deviation of 0.070, highlighting significant differences in ERI among the samples. The average performance gap is 0.017, indicating that, on average, there is a 1.7% difference between the firm’s performance and its industrial aspiration in the study. Moreover, all coefficients are less than 0.5, indicating that the paper does not encounter serious multi-collinearity issues.

4.2. Regression analysis

To mitigate the potential bias caused by missing variables, we adopt thefixed effect model for regression analysis (Wang et al.2021; Yu, Minniti, and Nason2019).Table 2presents the results of the regression analysis.

Model 1 includes only the control variables. Model 2 and Model 3 incorporate the independent variable performance gap and the quadratic term of the performance gap, respectively. The regression coefficient between the performance gap and ELI is significantly negative at the 1% level (β = −.098, p < 0.01), indicating there is a negative linear relationship between performance and ELI. And, the regression coefficient between the quadratic term of the performance gap and ELI is significantly negative at the 5% level (β = −1.345, p < 0.05). This suggests a significant inverted U-shaped relationship between the performance gap and ELI.

ERI is used as the dependent variable in Models 4–6. The analysis reveals that the performance gap has a significant positive impact on ERI (β = .315, p < 0.01), indicating a significant positive linear relationship between the performance gap and ERI. The regression coefficient between the quadratic term of the performance gap and ERI is significantly positive at the 1% level (β = 1.829, p < 0.01). This suggests a significant U-shaped relationship between the performance gap and ERI. Based on the regression results, we adopt the curve test developed by Lind and Mehlum (2010) to verify the existence of the inverted-U and U-shaped relationships. The test involves two steps: First, data analysis was used to calculate the slopes of the low-level performance gap curve and the level performance gap curve. If the slope is positive on the low-level curve and negative on the high-level curve, it indicates a partially established inverted-U shaped relationship. Conversely, if the slope

<small>Table 2.Test of the relationship between performance gap and ELI/ERI.</small>

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is negative on the low-level curve and positive on the high-level curve, it indicates a partially estab-lished U-shaped relationship. Second, the Fieller and Delta confidence interval test was performed to examine whether the extremes (poles) of the curve fall within the high and low-value intervals of the performance gap. If the poles fall within these intervals, it confirms the existence of the curve relationship. For the relationship between the performance gap and ELI, the slope on the curve of the low-level performance gap is positive (0.073), while the slope on the curve of the high-level per-formance gap is negative (−0.388). The value of the pole is 0.027, which falls within the interval of [0, 0.171]. This indicates that the inverted U-shaped relationship between the performance gap and ELI indeed exists, thus confirming hypothesis 1. Regarding the relationship between the performance gap and ERI, the slope on the curve of the low-level performance gap is negative (−0.032), and the slope on the curve of the high-level performance gap is positive (0.617). The value of the extreme point is 0.009, which also falls within the interval of [0, 0.171]. This confirms the existence of the U-shaped relationship between the performance gap and ERI. Therefore, hypothesis 2 was tested and supported.

To quantify the strength of the correlation, we use the effect size, specifically Cohen’s (f 2), as the evaluation indicator. In this paper, we apply the effect size to assess the performance gap and its quadratic term on both ELI and ERI. After performing the calculation, wefind that in the context of the performance gap and ELI, Cohen’s (f 2) for the linear relationship is 0.108, while Cohen’s (f 2) for the nonlinear relationship is 0.396. This indicates that the nonlinear impact of the performance gap on ELI is greater than its linear impact. Similarly, concerning the performance gap and ERI, Cohen’s (f 2) for the linear relationship is 0.292, whereas Cohen’s (f 2) for the nonlinear relationship is 0.761. These results suggest that the performance gap has a stronger U-shaped impact on ERI than its linear impact. Thus, the results strongly support both H1 and H2.

4.3. Robustness test

4.3.1. Changing the measurement of an independent variable

To minimise the potential impact of weight assignment on the results, we recalculate the industrial aspiration and performance gap using the weight values of 0.7 and 0.3. The model 1–2 inTable 3

presents the regression results. In model 1, the regression coefficient of the quadratic term of the performance gap is not significant (p > 0.1). Therefore, hypothesis 1 is not further supported. In model 2, the quadratic term of the performance gap is significantly correlated with the regression coefficient of ERI (β = .068, P < 0.1). This result demonstrates that the performance gap and ERI exhibit a U-shaped relationship. Thus, H2 is supported again.

4.3.2. Changing the regression model

We adopt the Tobit model to test the relationship between performance gap and ambidexterity innovation. This choice is based on the data structures of ELI and ERI, which exhibit a truncated

<small>Table 3.Robustness test.</small>

<small>Changing the measurement of independent</small>

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feature with 0 as the lower limit and 1 as the upper limit. The model 3–4 inTable 3shows the empiri-cal results. Despite the model change, thefinding still reveals a significant inverted U-shape relation-ship between the performance gap and ELI (β = −1.062, P < 0.05), as well as a significant U-shaped relationship between the performance gap and ERI (β = 2.740, P < 0.01). These results further support H1 and H2.

4.4. Endogeneity testing

4.4.1. Lagging the independent variables for one period

To address concerns about reverse causation, we introduce a lagged performance gap variable. The empirical results are shown inTable 4. In model 1, the quadratic term of the lagged performance gap is significantly and negatively correlated with ELI (β = -.688, P < 0.1), demonstrating that H1 is still supported. In model 2, the quadratic term of the lagged performance gap is significantly and posi-tively correlated with ERI (β = .883, P < 0.1), which supports H2 once more.

4.4.2. Propensity scores matching method (PSM)

To mitigate the potential biases arising from sample selection and endogeneity issues, we employ the PSM method to further examine the influence of the performance gap on ELI and ERI. The approach involves dividing the sample into a treatment group (high-performance gap) and a control group (low-performance gap) based on the median performance gap threshold and using the control variables in the model (3) as matching variables. Subsequently, nearest-neighbor match-ing is employed to match samples accordmatch-ing to their propensity score values. Finally, the matched samples are utilised for re-regression analysis of the model (3). Models 3 and 4 inTable 4 demon-strate that even after employing these techniques, the coefficients of the squared term of perform-ance gap remain significantly negative (β = −1.161, P < 0.1) for ELI and positive (β = 1.890, P < 0.05) for ERI, which aligns with our earlier regressionfindings.

5. Further analysis

Hoskisson et al. (2017) have highlighted the significance of examining whether a firm’s strategic behaviour creates value in the context of the performance gap. As such, we aim to conduct a com-prehensive theoretical analysis and empirical investigation to explore the impact of ELI and ERI on thefirm’s value recreation capability.

The capability offirms to enhance value recreation within the performance gap zone, as they approach industrial aspirations, hinges on rapid recovery. This entails the organisation’s capability to swiftly address consumer demand through localised search and product upgrades. By intensifying investment in ELI and fostering greater iteration of established technology,firms not only uncover fresh market opportunities but also crucially cultivate a competitive advantage. However, the

<small>Table 4.Endogeneity testing.</small>

<small>Lagging the independent variables for one</small>

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introduction of ERI might disrupt the continuity and integrity of the organisation’s established tech-nology, potentially delaying market capture and rebound. In the performance gap zone further away from industrial aspirations, thefirms’ capacity to bolster value recreation relies on full recovery. In this scenario, organisations must transcend localised search and systematically develop new pro-ducts to establish sustainable core competencies. Overreliance on ELI may leadfirms into an iterative trap, perpetually cycling through established technologies without substantial progress. Instead, to facilitate organisational leapfrogging into new technology tracks,firms must augment investment in ERI. This strategic move not only creates new internal and external investment opportunities but also serves as a pivotal factor in constructing dynamic capabilities and orchestrating a remarkable resur-gence from adversity.

To assess the impact of ELI and ERI on closing the performance gap, we employ the Jensen Index as a robust measure of thefirm’s value recreation capacity (Morrow Jr et al.2007). The index con-siders both ordinary and logarithmic rates of return and offers a potential perspective on enterprises to obtain high expected returns.Table 5reports the results with the panel effect model. The findings show an inverted U-shaped relationship between ELI and value recreation capacity under the per-formance gap (Figure 1), as well as a U-shaped relationship between ERL and value recreation capacity (Figure 2). TheFigure 1and 2 are based on Models 1 and 3 ofTable 5, respectively.

6. Discussion and conclusion

Based on the data of listed companies in China, we explore the allocation patterns offirms between ELI and ERI concerning the performance gap. Additionally, we analyse the roles of ELI and ERI in enhancing the value recreation capabilities offirms. The research findings are as follows: (1) There exists an inverted shaped relationship between the performance gap and ELI, as well as a U-shaped relationship between the performance gap and ERI. (2) In the context of the performance gap, there is an inverted U-shaped relationship between ELI andfirms’ value recreation capability and a U-shaped relationship between ERI and value recreation capability.

6.1. Theoretical contributions

First, we employ a separated model to analyse the mechanism through which the performance gap, relative to industrial competitors, influences firms’ ambidexterity innovation. It contributes to resol-ving inconsistent conclusions in performance gap research. We thoroughly dissect the performance gap, employing a separated model that dissects industrial aspiration from historical aspiration. By doing so, it explores the innovation effect of the industrial performance gap, a facet that has been accorded significant weight by researchers. The findings suggest that underperforming peer

<small>Table 5.Impact of performance gap on value recreation capability.</small>

<small>Jensen Index calculatedbased on ordinary return</small>

<small>Jensen Index calculatedbased on logarithmic</small>

<small>return rate</small>

<small>Jensen Index calculatedbased on ordinary return</small>

<small>Jensen Index calculatedbased on logarithmic return</small>

<small>Notes: Figures in brackets are T value, *p < 0.1, **p < 0.05, ***p < 0.01.</small>

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