A strict partial order on payoff configurations and its some properties

This paper proposes a method for comparison of payoff configurations in the framework of characteristic function form games with non-transferable utility. The proposed method in this paper is a relation derived from objections and counter-objections. Some examples which show how the proposed method works are given. This paper presents propositions which show that the proposed method satisfies the properties, called strict partial order and independence from linear transformation and parallel shift. An example verifies that the proposed method does not satisfy the property called monotonicity.