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The purpose of this paper is to investigate the literature on the representation of the quadruple and quintuple helix (QQH) in innovation environments such as incubators and science and technology parks (STPs).

The authors used the integrative review as a methodological approach and systematized studies regarding the main research objectives; theoretical approaches; methodology and study object; QQH representation, by identifying actor, performance and main results; and additional contributions to the QQH model.

As a result, the authors noticed a lack of standardization on the representation of the quadruple helix, but the example of associations and community centers as representatives of the civil society. The quintuple helix does not have an actor that represents the environment, but STPs foster sustainable actions, encourage the generation of green companies and stimulate sustainable practices among established companies.

Based on changes in the economic and social scenarios, new theoretical approaches emerge to explain the innovation process, such as the QQH. Incubators and STPs are favorable settings for interactions, according to the new models; however, there is a lack of studies addressing this topic in such environments. Hence, this study contributes to understanding the existence and performance of QQH, by showing how these new helices were identified, in addition to advancing the subject in innovation environments such as incubators and STPs.

The purpose of this paper is to analyze the performance of incubators in the stages of formation and development of incubated business networks, especially in bottom-up and top-down network models.

The research is defined as qualitative and descriptive, with the application of multiple case studies, in which two networks of incubated businesses were investigated, one being top-down and the other bottom-up, which emerged within the incubation process of two business incubators (CIETEC and INCIT). To make the study operational, 11 semi-structured interviews were carried out and the thematic analysis of content was developed.

The results pointed out that in the top-down network the incubator performs a new assignment, the network orchestration, which corresponds to the actions of formation, coordination and governance of the group. In the bottom-up network, it was found that the role of the incubator was to expand the value offers usually practiced.

As a limitation of the research, the very limitation of case studies is pointed out that is they do not allow for generalizations.

The research contributes to reflections on the effectiveness of the incubator and sheds light on the complementarity of networks in incubation processes, providing gains for incubators, incubated businesses and society.

The originality of this document is the new role of the incubator, which is orchestration, and its categorization. The results allow us to understand the effects of providing networks and relationships for incubated businesses. In addition, this study broadens the focus of traditional analyses of the incubator–incubated duo to consider the incubator–network–incubated trio.

This study aims to analyze the practices and relationships of companies established in Science and Technology Parks (STPs) as drivers of the quadruple and quintuple helix (QQH) and the determinants for aligning with the future vision of STPs.

The authors conducted a survey of companies associated with consolidated STPs and used the Structural Equation Model technique to predict such relationships.

The results showed a positive relationship between the QQH and the Future Vision of STPs, in addition to the relevance of collectives as representatives of the quadruple helix (QH).

Collectives are a recent phenomenon and require longitudinal studies on their performance in innovation environments.

Companies that are part of collectives are the actors of the QH.

The role of collectives in aligning with the future vision of STPs should be considered. Collectives reflect people’s vision and can help STPs from being a closed environment and expand their performance, with a key role in connecting innovation environments. The authors found that collectives are promising in practices related to sustainability, thus contributing to STPs with their ability to mobilize the ecosystem.

The research emphasizes the role of companies as agents of QQH in innovation environments, strengthening the increasing and distinct role of collectives in their relationships with STPs.