Linear response theory is extended to make it possible to treat nonlinear, and hence nonequilibrium, phenomena. Electric conductivity is discussed as an example of such nonlinear response, where a nonequilibrium distribution of quasiparticles might be established if an electric field of sufficient strength is applied. This theory is then applied to the Esaki effect in bismuth, a typical case of drastic nonlinear conduction. Numerically calculated results are in good agreement with experiments.