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The article aims to study the effect of output additionality of public innovation funding on firm innovation, measured as economic returns of innovation, across firms of different sizes. A panel sample consisting of 4125 Spanish firms observed during years 2009–2014 has been analysed, using a treatment model. Robustness tests have also been used. The findings show the effects of output additionality of innovation funding support for small, medium and large firms, with a greater effect on large firms and a lower effect on medium firms. However, there has a weak effect for very large firms, which do not benefit in terms of output additionality. Since it is relatively easy for large firms to benefit from public support for innovation, some of the resources allocated to them should be passed on to small and medium firms. Medium firms seem to be less inclined to benefit from economies of scales than large firms and may be less affected by public innovation policy given the priority for small firms' development. Small and medium enterprises can benefit further from well‐designed targeting programmes, with a prevalence of demand‐side support measures compared to the supply‐side measures. [ABSTRACT FROM AUTHOR]

This study aims to analyse whether firms adopting the institutional and organizational model of a benefit company (BC) increase the appointment of women to their board of directors (BoD) by applying the theoretical models of reputation management and resource dependence theory. A sample of 354 Italian firms adopting the BC model and a control group of 600 firms over the period of 2009–2018 were analysed. A fractional regression probit model was used to analyse the effect of the institutional form of the BC on the presence of women on BoDs. The findings, generally robust regarding different econometric specifications dealing with potential endogeneity, confirmed that a firm's adoption of the BC model positively affects the likelihood of the firm increasing the presence of women on its BoD. This evidence justifies the actions of those stakeholders in firms that are actively involved in corporate social responsibility (CSR) processes, seeking increased reputation and legitimacy by increasing the number of female directors in the firm. The study contributes new insights into the relationship between CSR and the appointment of women on BoDs in the new and emerging business context of hybrid organizational models. Additionally, the study advances our knowledge about the heterogeneous and reversed associations between the institutional model of the BC and the choice of specific corporate governance mechanisms in the form of the appointment of women on BoDs to increase the reputation and legitimacy of firms. [ABSTRACT FROM AUTHOR]