Quantum Entanglement and the Emergence of Collaboration in Social Media

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.