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Social culture and innovation diffusion: a theoretically founded agent-based model

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Abstract

This study proposes an agent-based model to theoretically investigate the effects of social culture on innovation diffusion. The model assumes that social culture (i.e., individualism, power distance, and uncertainty avoidance from Hofstede’s cultural dimension theory) has a direct effect on the small-world network structure and individual characteristics. We further explore how the characteristics of innovation influence the diffusion process. We find that individualism has a positive effect on the diffusion speed in the early stage, whereas uncertainty avoidance and power distance have negative effects on innovation diffusion. The effect of uncertainty avoidance on the diffusion speed turns positive after the early stage of diffusion and the negative effect of power distance becomes positive in the late stage. We compare real-world diffusion data with the proposed agent-based model, finding some similarities in the diffusion patterns. The characteristics of innovation affect innovation diffusion when the uncertainty avoidance is high. However, when both uncertainty avoidance and individualism are low, the effect of the characteristics of an innovation on diffusion is restricted.

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Acknowledgements

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. Declarations of interest: none.

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Appendices

Appendix A

Parameters and variables in the proposed model are shown in Table 5.

Table 5 Parameters and variables in the proposed model

Input values in simulations are shown in Table 6.

Table 6 Input values in simulations

Appendix B

We adjusted simulation time from 10,000 to 100,000. As shown in Fig. 11, the system with 10,000 iterations is large enough to identify the whole diffusion pattern with N = 1000. Population number is adjusted from N = 1000, N = 5000, N = 10,000 with simulation time t = 10,000, t = 50,000 and t = 100,000, respectively. Table 7 shows the proportion of averaged final adoption level and standard deviation. Average final adoption proportion does not change with the population number. We further adjust average number of linked neighbors k from 3 to 20 with population number N = 1000. As shown in Table 8, the system converges to a steady state with k larger than 8, and the increase in k does not reduce the standard deviation.

Fig. 11
figure 11

Sensitivity to Iteration Time

Table 7 Sensitivity to Number of Population
Table 8 Sensitivity to Number of Average Links

Appendix C

Standard deviation of simulations of Fig. 4, Fig.5 and Fig. 9 are shown in Table 9, Table 10 and Table 11, respectively.

Table 9 Standard deviation of simulations of Fig. 4
Table 10 Standard deviation of simulation of Fig. 5
Table 11 Standard deviation of simulation of Fig. 9

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He, M., Lee, J. Social culture and innovation diffusion: a theoretically founded agent-based model. J Evol Econ 30, 1109–1149 (2020). https://doi.org/10.1007/s00191-020-00665-9

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