The purpose of this paper is twofold. First, we generalize Kajii et al. (2007), and provide a condition under which for a game v, its Mobius inversion is equal to zero within the framework of the k-modularity of v for k = 2. This condition is more general than that in Kajii et al. (2007)....

This paper proposes a class of weak additivity concepts for an operator on the set of real valued functions on a finite state space \omega, which include additivity and comonotonic additivity as extreme cases. Let \epsilon be a collection of subsets of \omega. Two functions x and y on \omega are...

This paper proposes a class of weak additivity concepts for an operator on the set of real valued functions on a finite state space Ω, which include additivity and comonotonic additivity as extreme cases. Let E ⊆ 2Ω be a collection of subsets of Ω. Two functions x and y on Ω are...

Two of the most important ideas in economics and law are the “Coase Theorem” and the “Prisoner’s Dilemma.” In this paper, the authors explore the relation between these two influential models through a creative thought-experiment. Specifically, the paper presents a pure Coasean version...

How can changes in degrees of group affiliation or identity change one’s decision to cooperate or defect in a dilemma? According to the logic of appropriateness, decision changes result from changes in answer to the question, “what does a person like me do in a situation like this?” In two...

This work is focused on identifying a circular pull production control system (PPCS) and make emphasis on the presence of a stability attribute. It is an introductory paper to an extended study of macroeconomic financial stability in a physically open but systemic closed system. Previous work...