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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def equilibrium_payoffs(self, method=None, options=None):
 """ Compute the set of payoff pairs of all pure-strategy subgame-perfect equilibria with public randomization for any repeated two-player games with perfect monitoring and discounting. Parameters method : str, optional The method for solving the equilibrium payoff set. options : dict, optional A dictionary of method options. For example, 'abreu_sannikov' method accepts the following options: tol : scalar(float) Tolerance for convergence checking. max_iter : scalar(int) Maximum number of iterations. u_init : ndarray(float, ndim=1) The initial guess of threat points. Notes ----- Here lists all the implemented methods. The default method is 'abreu_sannikov'. 1. 'abreu_sannikov' """

        if method is None:
            method = 'abreu_sannikov'

        if options is None:
            options = {}

        if method in ('abreu_sannikov', 'AS'):
            return _equilibrium_payoffs_abreu_sannikov(self, **options)
        else:
            msg = f"method {method} not supported."
            raise NotImplementedError(msg)