Kyoung Hee Lee

Generalized fuzzy games and fuzzy equilibria

Abstract In this paper, we define the concepts of generalized fuzzy game and fuzzy equilibrium. Next, we shall prove new existence theorems of equilibrium in generalized fuzzy games with uncountable number of agents. Our results generalize the corresponding results due to Arrow–Debreu, Kim–Lee and Yannelis–Prabhakar in several aspects.

On a new continuous selection and its applications

In this paper, we shall prove a new continuous selection theorem, and as applications, we shall prove a generalization of the Debreu—Gale—Nikaido theorem and a new intersection theorem

ON A CONTINUOUS MAJORITY RULE

A seminal paper by May characterizes the majority rule in terms of anonymity, neutrality, and positive responsiveness. Since then, there have been many characterizations of the majority rule using different axioms by several authors. In this paper, we will introduce the concept of a continuous majority rule which generalizes the previous social welfare functions beyond the discrete values, and using new axioms, we will give a characterization of the continuous majority rule.