4.1. Simulation Steps and Initial Settings
Based on the above model settings and existing research paradigms, this study uses MATLAB (R2024b) to analyze the evolution and results of enterprise digital transformation in detail. The specific steps are as follows.
(1) Create a NW small-world network containing enterprises
, with the generation process divided into two main parts. First, construct a regular ring network where each enterprise is connected to an average of the nearest neighbors
. Specifically, each node forms a closed circular structure with its adjacent left and right nodes. Next, introduce small-world characteristics by randomly reconnecting some edges. This process is achieved by setting a reconnection probability
(here,
), allowing nodes in a sparse network to quickly transmit information through a few intermediary nodes (as shown in
Figure 3). Additionally, set the initial proportion of digital enterprises among the enterprises
according to the ratio
.
(2) Enterprises engage in evolutionary games within the NW small-world network. Based on the game model and network structure, calculate the payoff for each enterprise. Each enterprise randomly selects a competing enterprise for comparison and calculates the probability of learning from that enterprise based on the Fermi rule. Subsequently, enterprises learn digital transformation strategies from competing firms according to this probability, thereby optimizing their decisions and enhancing market competitiveness.
(3) Repeat the evolutionary game process until the system reaches a stable state. During each iteration, enterprises continuously update their strategies based on strategy adjustments and payoff outcomes. The system is considered to have reached a stable state when the strategies of enterprises no longer undergo significant changes or meet the established convergence criteria.
(4) Perform multiple simulations to reduce errors. The entire process from Steps 1 to 3 is repeated 20 times. By averaging the results of each simulation, random process-related errors can be effectively minimized, thereby improving the accuracy and representativeness of the final outcomes.
To thoroughly analyze the role of digital platforms in enterprise digital transformation, this study employs simulation analysis to conduct detailed simulations of pricing and service factors under different scenarios. During the construction of the simulation model, key parameters were selected based on data from industry reports and academic literature to ensure the generalizability of the research results and the applicability of the theoretical framework. The initial parameter settings are shown in
Table 1.
In terms of simulation parameter selection, factors such as the number of enterprises
, the number of neighboring enterprises
, and the initial proportion of digitalized enterprises
are based on existing research to ensure comparability and consistency of the results [
41]. For specific market scenarios of digital platform services, this study adjusts certain parameters to more accurately reflect the market characteristics of the platform’s target clients. Market demand
is set at 2.5 million, a figure derived from in-depth industry analysis that reflects the market demand faced by enterprises undergoing digital transformation via digital platforms. This setting considers the relationship between market demand and the motivation for digital transformation. High market demand may drive enterprises to undertake digital transformation independently, rather than relying on a platform.
The digitalization cost is set at 550,000 (RMB), based on an analysis of the costs for enterprises to undergo independent digital transformation. This reflects the potential of digital platforms to offer cost-effective solutions that help enterprises achieve cost savings. Additionally, considering that personalized demands studied in the existing literature may lead to higher production costs and product prices, this study adjusts production cost and product price accordingly to better simulate the actual conditions of platform services for enterprises.
The post-transformation production cost is set at 80, aiming to reflect the cost-efficiency achieved through digital transformation. The service quality and pricing factors, as core parameters of this study, are assigned an initial value of 0.5 after considering both the simulation analysis and real-world conditions. This setting is intended to simulate the wide applicability and cost-effectiveness of digital platform services for enterprises while avoiding extreme values that could skew the results.
4.2. The Impact of Digital Platforms on Enterprise Digital Transformation
Figure 4 shows the simulation results of the impact of the pricing factor on enterprise digital transformation. The figure illustrates the effects of different platform pricing on digital transformation when the service content fit of the digital platform is
and the pricing factor
takes the values of 0.4, 0.45, 0.5, 0.55, and 0.6, with all the other conditions remaining constant.
After 50 rounds of the game, it was observed that, under specific market conditions, digital transformation is an inevitable choice for enterprises to enhance their market competitiveness. Regardless of the pricing set by digital platforms, all enterprises ultimately opt for digital transformation. Additionally, the results indicate that, when the quality and pricing of digital platform services are each at half the level of independent digital transformation, the ratio of enterprises choosing the IDT strategy to those choosing the PDT strategy is approximately 4:6. When the service quality of the digital platform remains unchanged, a lower platform pricing leads all enterprises to adopt the PDT strategy for transformation. However, as the pricing of digital platform services increases, the number of enterprises opting for the IDT strategy gradually rises.
This outcome may be due to the fact that, in the long term, digital transformation significantly enhances production efficiency and market share. Despite the initially high costs of digital transformation, the subsequent savings in production costs and increased market demand are sufficient to offset these drawbacks. Low-cost, high-efficiency digital platform services are highly attractive to enterprises, because they significantly reduce the cost of transformation. When digital platform services offer high cost-effectiveness, enterprises are more inclined to use PDT, as this reduces the complexity and risks associated with digital transformation. However, some enterprises may choose the IDT strategy to gain greater autonomy and customized services during independent transformation.
Nevertheless, as the pricing of digital platform services rises, more enterprises opt for the IDT strategy. This shift may be due to the high service fees prompting enterprises to consider utilizing their own resources or seeking alternative solutions for digital transformation, thus avoiding the high costs of platform services. The diversity in strategy choices reflects rational decision-making by enterprises in response to varying market conditions and cost structures.
The simulation results of the impact of the service factor on enterprise digital transformation are shown in
Figure 5.
Figure 5 illustrates the effect of different service factors on enterprise digital transformation when the service pricing of the digital platform is fixed. The service factor is varied at the values of 0.43, 0.46, 0.49, 0.52, and 0.55, while the other conditions remain unchanged.
Similarly, after 50 rounds of the game, it was found that, regardless of the service quality provided by the digital platform, all enterprises eventually opted for digital transformation. The results further indicate that, with other conditions held constant, if the cost-effectiveness of the services provided by the digital platform is lower than that of the independent digital transformation (i.e., the platform’s service cost is 50% of the independent transformation cost, but the quality is less than 50% of that of independent transformation), nearly all enterprises will choose the IDT (independent digital transformation) strategy. As the range of services provided by the digital platform becomes more comprehensive and its cost-effectiveness improves, enterprises will increasingly prefer to rely on the platform for their transformation, ultimately choosing the PDT (platform-dependent transformation) strategy for digital transformation. This outcome is likely due to the fact that, when the cost-effectiveness of the digital platform is lower than that of independent digital transformation, relying on the platform does not yield sufficient benefits, leading enterprises to prefer independent digital transformation. However, as the digital platform’s service offerings become more robust, enterprises find that using the platform enhances the efficiency of the transformations, making them more willing to rely on the platform. Although enterprises initially adopt various strategies for digital transformation, since most enterprises have not yet undergone digital transformation at the outset, any enterprise that does transform can reduce production costs and gain a market share. As the number of digital enterprises increases, firms become more cautious in choosing digital strategies. At this stage, with most competitors also having undergone digital transformation, the potential market share gains from transformation become limited, thus making enterprises more inclined to select strategies with higher cost-effectiveness.
Table 2 shows the average payoffs for enterprises choosing the IDT and PDT strategies under different combinations of pricing and service factors in the steady state of digital transformation. As the pricing factor
increases in increments of 0.05 within the range [0.4–0.6], the number of enterprises opting for the PDT strategy gradually decreases, and their average payoffs also decline, while the number of enterprises choosing the IDT strategy increases. In contrast, when the service factor
increases in increments of 0.03 within the range [0.43–0.55], the number of enterprises adopting the PDT strategy gradually increases, and their average payoffs rise accordingly, while the number of enterprises choosing the IDT strategy decreases.
Additionally, to further reveal the role of digital platform service pricing and service quality in the micro-level enterprise decision-making interaction mechanism, a comparative analysis of the average revenue of enterprises undergoing digital transformation is conducted.
Figure 6 illustrates the changes in average revenue for enterprises under different digitalization strategies, as service pricing and service quality vary. From
Figure 6a,b, it can be observed that, when
,
and
are approximately equal. Regardless of the value, the average revenue of enterprises choosing IDT and PDT strategies is similar at the initial state. However, over time, when
, the average revenue of enterprises adopting the IDT strategy for digital transformation gradually decreases. Conversely, when
, the average revenue of enterprises opting for the PDT strategy gradually declines.
This trend can be attributed to the high importance enterprises place on the return on investments for digital transformation. When , the cost-effectiveness of the two strategies is comparable, resulting in a similar number of enterprises choosing either strategy and, thus, similar average revenues. In the initial stages, since market competition is not yet intense, the difference in revenue between enterprises adopting IDT and PDT strategies mainly reflects the differences in digital transformation costs and product production costs. Digital transformation compensates for this difference by expanding market share, so regardless of the value of , the average revenues for both strategies are similar in the initial stage. As the number of digital enterprises increases, the ability of enterprises to gain market share through digital transformation gradually diminishes, leading to increased sensitivity to digital platform pricing. Consequently, when , the number of enterprises choosing IDT will increase to 100%, eventually leading to a reduction in the number of enterprises adopting PDT to zero, with the average revenue also dropping to zero. Conversely, when , the number of enterprises opting for PDT will increase to 100%, causing the number of enterprises choosing IDT to drop to zero, with the average revenue also falling to zero.
Similarly,
Figure 6c,d show that, as the range of services provided by the digital platform increases, enterprises are more inclined to use the platform for transformation, aiming for higher average revenues. Combining this with the data from
Table 2, it is evident that both the service quality and service pricing of the digital platform have a comparable impact on enterprise digital transformation.
4.3. Sensitivity Analysis
4.3.1. Initial Proportion
To examine the impact of different initial proportions of digital enterprises
on the evolution of enterprise digital transformation, simulations were conducted with
set to 0.35 and 0.65. The results are shown in
Figure 7. It can be observed that, as the initial proportion of digital enterprises
increases, the conclusions regarding the impact of digital platform pricing and service quality on enterprise digital transformation remain valid. Additionally, under constant conditions, as the initial proportion of digital enterprises increases, the number of enterprises choosing the IDT strategy for digital transformation decreases, while the number of enterprises adopting the PDT strategy gradually increases. This indicates that the choice of digital transformation strategy is related to the initial proportion of digital enterprises. When the initial number of digital enterprises is high, enterprises are more likely to choose the PDT strategy for digital transformation and are more sensitive to the pricing and service quality of the digital platform.
4.3.2. Network Size
To assess the impact of network size
on the conclusions, numerical simulations were conducted with network sizes of 50, 75, 100, and 125. The results are illustrated in
Figure 8. By comparing the curves for different network sizes, it can be observed that, under the same conditions, as the network size increases from small to large, the number of enterprises choosing the IDT strategy for digital transformation gradually decreases, while the number of enterprises adopting the PDT strategy increases. Additionally, when the network size exceeds a certain threshold, enterprises stop choosing digital transformation altogether.
This outcome can be attributed to the fact that, with a smaller network size, each enterprise has a larger average market demand, leading to greater market share gains from digital transformation. In such cases, the IDT strategy significantly reduces production costs. Thus, with smaller network sizes, more enterprises opt for the IDT strategy for digital transformation. However, as the network size grows, the average market demand for each enterprise decreases, and the market share gained from digital transformation also diminishes. The effectiveness of the IDT strategy in reducing production costs weakens and fails to cover the high costs of digital transformation, leading to a gradual increase in the number of enterprises choosing the PDT strategy. When the network size further expands, the market share gained through digital transformation becomes increasingly negligible. Regardless of the digital strategy adopted, the returns do not cover the investment costs, ultimately leading all enterprises to abandon digital transformation in favor of the STM strategy. This phenomenon indicates that network size has a significant impact on the choice of digital transformation strategies, and there is a clear scale effect. Different network sizes require digital platforms to implement tailored pricing strategies and service quality to effectively promote enterprise digital transformation.
4.3.3. Level of Irrationality
To examine the impact of the learning rule parameter
on the conclusions, simulations were conducted with values of 0, 0.25, 0.5, and 0.75. The results are shown in
Figure 9. A vertical comparison reveals that, as the level of irrationality increases, the number of enterprises choosing the PDT strategy for digital transformation first increases and then decreases.
This phenomenon may stem from the rationality level of enterprise decisions. Under conditions of complete rationality, enterprises will tend to imitate strategies that exhibit higher returns, even in the face of small differences in returns, to maximize their profits. Therefore, the distribution of enterprises choosing IDT or PDT strategies is the result of a fully rational analysis. As irrational factors increase in enterprise decision-making, the sensitivity to return differences decreases. This reduced sensitivity leads enterprises to base their strategy choices less strictly on cost-effectiveness, potentially influenced by other non-economic factors, reflected in the increased number of PDT strategy adopters. However, as the level of irrationality intensifies further, the decision-making process becomes more uncertain and random. In such cases, the number of enterprises choosing the PDT strategy may decrease, potentially returning to levels similar to those under complete rationality. This reversion may be due to the inability of enterprises to continuously identify and imitate high-return strategies in highly irrational decision-making, leading to increased randomness in strategy choices and thus balancing the distribution of enterprises between the two strategies.
4.3.4. Preference Learning Rules
Within the framework of the Fermi–Dirac distribution, enterprises are traditionally considered to randomly select a competitor as their learning target when updating strategies. However, in real business environments, enterprises often exhibit a degree of selectivity when choosing their learning targets. This selection is not entirely random but is influenced by factors such as the strength and social status of the competitor being observed.
To test the robustness of this phenomenon, this study adopts a preferential attachment learning rule to replace the traditional random matching mechanism and applies the Fermi–Dirac rule for numerical simulation analysis. The mathematical expression for the preferential attachment learning rule is as follows:
where
represents the degree of competitor
(i.e., its influence or number of connections in the network),
is the sum of degrees of all competitors of enterprise
, and
is an adjustable parameter. The higher the value of
, the greater the probability that enterprise
will choose a competitor with a higher influence as its learning target. In this setting,
is set to 1, meaning that the learning probability is proportional to the competitor’s influence.
The core idea of this rule is that, after each round of the game, enterprise selects a competitor for strategy learning based on the probability distribution , where the influence of the competitor is considered as its node degree in the network. This influence-based selection mechanism more closely aligns with rational behavior in real-world business decision-making processes, providing deeper insights into strategy learning and evolutionary dynamics of enterprises in complex network environments.
The simulation results are shown in
Figure 10, revealing that, under the modified strategy update rules, the impact of digital platform service pricing and service quality on enterprise digital transformation strategy choices remains significant. Comparative analysis shows that, when there is a significant difference in cost-effectiveness between IDT and PDT strategies, the impact of the modified strategy on the direction of enterprise digital transformation is minimal, mainly accelerating the convergence speed of the system’s steady state. However, when the cost-effectiveness of the two strategies is similar and it is difficult to distinguish between them, the modified strategy leads to a decrease in the number of enterprises choosing the PDT strategy.
This phenomenon can be explained by the fact that, when there is a significant difference in cost-effectiveness between IDT and PDT strategies, enterprises tend to choose the more cost-effective strategy. Even with the introduction of the modified strategy update rules, the overall choice trend remains fundamentally unchanged. Conversely, when the cost-effectiveness difference between the two strategies is minimal, enterprises become more cautious in their decision-making, and the modified strategy reduces the preference for the PDT strategy. This indicates that the modified strategy update rules increase enterprises’ sensitivity to subtle differences in cost-effectiveness, thereby influencing their final choices.
4.3.5. Comparative Analysis
In the real world, a company’s decision to undergo digital transformation is influenced by multiple factors, including product prices, production costs, market demand, digital investment costs, and the effectiveness of digitalization. The varying combinations of these factors can lead to changes in the impact and effectiveness of digital platform pricing and service quality on enterprise transformation strategies. To investigate these specific effects and validate the robustness of the research findings, this study adjusts key parameters such as market demand, product prices, digital investment costs, and digital effectiveness. Specifically, the study computes and compares the results of enterprise digital transformation under the conditions of and .
The results are shown in
Table 3, where the final column indicates the number of enterprises choosing STM, IDT, and PDT strategies. Comparing the steady-state enterprise proportions under the initial conditions reveals that, when the market demand is high, product prices are low, or when digital effectiveness is high, enterprises are more likely to choose the STM strategy for independent digital transformation. This choice allows for the high adaptability of digital content, which helps to meet market demand while further reducing production costs. When digital investment costs are high, enterprises tend to rely on the PDT strategy, utilizing digital platforms to achieve digital transformation with lower investment costs. Additionally, when digital effectiveness is low (i.e., digital transformation does not significantly reduce production costs), enterprises typically do not choose to undertake digital transformation.
4.4. Results Analysis
This study examines how the pricing and service quality of digital platforms influence corporate strategic choices in digital transformation. The results demonstrate that these factors significantly shape enterprise decision-making, with their effects mediated by information flow, bounded rationality, and information asymmetry.
When the service quality is constant, lower platform pricing encourages enterprises to adopt the platform-driven transformation (PDT) strategy, while higher pricing increases the proportion of firms opting for independent digital transformation (IDT). High-cost-efficiency platform services lead enterprises to choose PDT strategies, optimizing decision-making and mitigating uncertainty. Conversely, when the cost-effectiveness of platform services is inferior to that of independent digital initiatives, firms are more likely to adopt the IDT approach. Additionally, decisions regarding digital transformation are also influenced by factors such as the level of enterprise rationality, learning preferences, market demand, product pricing, digital effectiveness, and digital costs. Based on the research results, the following insights were further identified:
(1) Stabilizing decision-making through improved platform services. Digital transformation provides opportunities for cost reduction and market expansion but entails substantial upfront investments and uncertain returns. In low-demand markets, enterprises may refrain from transformation if costs exceed the potential benefits. Digital platforms, by enhancing service quality and reducing costs, can mitigate system uncertainty, enabling more rational decision-making in complex environments. Lowering platform costs is particularly crucial in such scenarios, as it alleviates financial constraints, reduces information asymmetry, and increases the likelihood of successful digital transformation.
(2) Optimizing service pricing and quality to reduce uncertainty. Service pricing and quality directly influence both strategic decisions and system uncertainty, reflected in entropy changes. In industries with pronounced information asymmetry, excessive pricing or inadequate quality may prevent enterprises from achieving transformation benefits, exacerbating uncertainty and entropy. In contrast, high-value platform services encourage firms to pursue PDT strategies, optimizing decision-making processes and minimizing entropy increases. Effective pricing and quality strategies not only enhance the competitiveness but also reduce decision-making entropy, thereby accelerating transformation progress.
(3) Driving sustainable competitive advantage through digital transformation. Digital transformation is pivotal for achieving sustainable competitive advantages in competitive markets. Early adopters leverage lean production and market insights to reduce costs and expand demand, lowering system entropy and uncertainty. As more firms engage in digital transformation, competition intensifies and entropy effects become more pronounced. Enterprises that improve profitability through reduced costs and reap transformation benefits that outweigh expenses contribute to a self-reinforcing transformation process, propelling industry-wide digitalization. This interplay of information flow and entropy dynamics underscores the transformative impact of digital adoption.
(4) Enhancing societal productivity through digital transformation. Digital transformation transcends individual enterprise productivity, fostering broader societal productivity improvements. Initially, pioneering firms capture surplus market demand, but as participation grows, the surplus demand diminishes, and the information flow within the system becomes more ordered, stabilizing entropy over time. This progression highlights digital transformation’s role as a key driver of systemic productivity enhancement. Ultimately, its core value lies in reducing costs through improved digital efficiency and achieving sustainable growth via effective information dissemination and resource optimization.