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How corporate social responsibility (CSR) and consumer social responsibility (CnSR) can perform a preeminent role in satisfying and retaining consumers is an unprecedented research gap that needs to be uncovered in the existing literature. This study explores the multidimensional associations of CSR on consumers' satisfaction (CS) and consumer retention (CR) along with moderation of CnSR from a developing economy using rigorous empirical analysis within small and medium‐sized enterprises (SMEs) in China. The findings affirmed the positive nexus of CSR on CS and CR. The results asserted the significant moderating impact of CnSR among CSR, CR, and CS. These results yield insights for the management to reshape strategies by understanding social responsibility perspectives on both sides to align corporate and consumers' interests. Additionally, how the inclusion of CSR practices can bridge the gap between corporations and consumers is another unique contribution of this study. Finally, the paper confers interesting and valuable implications along with lines for future work. [ABSTRACT FROM AUTHOR]

We aim to raise awareness of the benefits of conducting international research rather than just single-country studies (which tend to be dominated by U.S. data). We outline the key challenges in terms of data collection and empirical design and propose various data sources for country-level variables, including formal and informal institutions. We also describe several hands-on approaches that are suitable in a crosscountry setting. Data Availability: Data are available from sources indicated in the paper. JEL Classifications: C1; C8. [ABSTRACT FROM AUTHOR]

• Theoretical model is to estimate wrinkling capability of membrane with holes. • Wrinkle-free membrane with optimized irregular holes is achieved by PSO algorithm. • An empirical wrinkle-free approach is proposed without excessive optimization. Membranes are easy to buckle and wrinkle due to their extreme flexibilities, leading to the performance degradation and hampering the engineering applications. Here we propose a wrinkle-free approach through optimizing the shape and distribution of interior irregular holes in the membrane. A theoretical model with Marguerre function and complex analysis is performed to accurately estimate the stress distribution and wrinkling capability of the non-uniform membrane. The non-gradient particle swarm optimization (PSO) algorithm is implemented to determine the optimized holes to achieve wrinkle-free performance with ignorable area loss, the computational efficiency has been significantly enhanced through the superposition method. Both post-buckling analyses and physical experiments are carried out to verify wrinkle-free performance of membranes with optimized holes. In addition, an easy-to-implement empirical method is provided to guide the design of wrinkle-free membranes with arbitrary aspect ratio. [Display omitted] [ABSTRACT FROM AUTHOR]