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In recent years economics agents and systems have became more and more interacting and juxtaposed, therefore the social sciences need to rely on the studies of physical sciences to analyze this complexity in the relationships. According to this point of view we rely on the geometrical model of the Möbius strip used in the electromagnetism which analyzes the moves of the electrons that produce energy. We use a similar model in a Corporate Social Responsibility context to devise a new cost function in order to take into account of three positive crossed effects on the efficiency: i)cooperation among stakeholders in the same sector; ii)cooperation among similar stakeholders in different sectors and iii)the stakeholders' loyalty towards the company. By applying this new cost function to a firm's decisional problem we find that investing in Corporate Social Responsibility activities is ever convenient depending on the number of sectors, the stakeholders' sensitivity to these investments and the decay rate to alienation. Our work suggests a new method of analysis which should be developed not only at a theoretical but also at an empirical level.

For quasi-linear elliptic equations we detect relevant properties which remain invariant under the action of a suitable class of diffeomorphisms. This yields a connection between existence theories for equations with degenerate and non-degenerate coerciveness.The second author wishes to dedicate the manuscript to the memory of his mother Maria Grazia.

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In this paper, we devise a slightly modified version of the vote with the wallet game used by Becchetti et al. [L. Becchetti and F. Salustri, The vote with the wallet as a multiplayer prisoner’s dilemma, CEIS Tor Vergata Research Paper No. 359, Vol. 13, Issue 10, Centre for Economic and International Studies, Rome, Italy (2015); L. Becchetti, V. Pelligra and F. Salustri, Testing for heterogeneity of preferences in randomized experiments: A satisfaction-based approach applied to multiple prisoner dilemmas, Appl. Econ. Lett. 24(10) (2017) 722–726] for the use of social media, where the player decides whether to responsibly share social knowledge or not. We follow the point of view of Bennet and Bennet [D. Bennet and A. Bennet, Social learning from the inside out: The creation and sharing of knowledge from the mind/brain perspective, in Social Knowledge: Using Social Media to Know What You Know, eds. J. P. Girard and J. L. Girard (IGI Global, 2011), pp. 1–23] according to which another social settings may emerge through the so-called “process of collaborative entanglement.” In this environment, members of a community interact continuously with strong emotional feelings to combine the sources of knowledge and the beneficiaries of that knowledge and move toward a common direction. The application of the model to the quantum game theory substantially confirms that the cooperative strategy becomes the optimal one depending on the frequency of interactions and people’s cultural, geographical and social reachability and traceability.