The verification process of the traditional delegation computation has higher computation and communication overhead as the participants are either honest or malicious. The rational delegation computation is the introduction of rational participants, and the utility function is used to guarantee the reliability of the computational results. This paper first introduces game theory into the delegation computation, and gives the only stable equilibrium solution. Second, based on the bitcoin and Micali-Rabin's random vector representation technique, a new rational delegation computation protocol is devised. The involved players, for the protocol's fairness, commit a special structured bitcoin deposit respectively, which guarantees the interests of both parties. The Micali-Rabin's technique is used for tackling the protocol's complex verification, and the verification is simple and efficient without any leak about the results. Finally, the security and performance analysis results show that the proposed protocol not only solves the complex traditional verification problem, but also ensures the interests of the honest parties.