2 résultats pour « nash »

Co‑opetition in Reinsurance Markets: When Pareto Meets Stackelberg and Nash

This paper introduces "co-opetition" (combining competition and cooperation) to reinsurance risk-sharing. A two-layer game-theoretic framework models insurer-reinsurer contracting and price competition (Stackelberg-Nash), followed by collaborative risk-sharing. The model, using mean-variance preferences, yields explicit equilibrium results, demonstrating the feasibility of analyzing complex reinsurance market dynamics. Future research could explore different preferences, premium principles, and market structures.

Optimal Premium Pricing in a Competitive Stochastic Insurance Market with Incomplete Information

"This paper examines a #stochastic one-period #insurancemarket with incomplete information. The aggregate amount of #claims follows a compound #poisson distribution. #insurers are assumed to be exponential utility maximizers, with their degree of #riskaversion forming their private information. A premium strategy is defined as a map between risk types and premium rates. The optimal premium strategies are denoted by the pure-strategy #bayesian #nash equilibrium, whose existence and uniqueness are demonstrated under specific conditions for the demand function..."