5. Conclusions
We offer an innovative methodological approach to the analysis of reputational risk based on quantum modeling. Previous researchers have contextualized corporate social responsibility related issues into a game theory scenario. As an extension of these analyses, we propose that reputational risk management can be framed into a quantum game theory schema, taking advantage of the ideology and formalism from quantum modeling. In this sense, it is argued that taking care of corporate reputation can be assimilated to a coalitional strategy into a quantum market game. In addition, and following a stochastic mechanics approach, we model the revenue of a company as a stochastic process using the Ornstein–Uhlenbeck approach represented by the Langevin equation for the diffusion of a particle with unit mass under non-linear friction. Exploiting stochastic calculus, partial differential equations and dynamic optimization, we supply a mathematical derivation of the discount rate for a company that does not manage reputational risk management. In addition, by incorporating a measure of the reputational effort, we derive the discount rate for a company that optimally manages its reputational risk. Finally, we calculate an analytic expression for a reputational risk premium.