Before revision:  As a result, we found that, even in the case with observation errors, the only strategy sets that enforce a liner payoff relationship are either ZD strategies or unconditional strategies  , which were numerically confirmed . Moreover, we derived the feasible ranges of the expected payoffs for unconditional strategies .
After revision:  As a result, we found that, even in the case with observation errors, the only strategy sets that enforce a liner payoff relationship are either ZD strategies or unconditional strategies , which were numerically confirmed .