Social Recognition and Economic Equilibrium

This paper is an attempt to incorporate the human ability of recognition, especially, the ability to recognize the society to which they belong, with the economic equilibrium theory characterized by a description of society through individual rational behaviors. Contents may be classified into the following three categories: (1) a rigorous set theoretical treatment of the description of individual rationality; (2) set theoretical description of the validity in a society; and (3) rationality as an equilibrium (fixed point) of social recognition.Social Recognition, Rationality, Social Equilibrium, Fixed Point Theorem, Goedel's Incompleteness Theorem.

An Axiomatic Characterization of the Price-Money Message Mechanism

* Revised： [15-31, 2015

Replica Core Equivalence Theorem : An Extension of the Debreu-Scarf Limit Theorem to Double Infinity Monetary Economies

* Revised：Replica Core Equivalence Theorem: An Extension of Debreu-Scarf Limit Theorem to Double Infinity Monetary Economies [14-35, 2014]* Revised： [14-35-Rev., 2015

Fixed points and social equilibrium existence without convexity conditions

The purpose of this paper is to show the existence of equilibrium for economic models with non-convex constraint correspondences. Our proof is based on a new fixed point theorem (a generalization of Kakutani-Fan-Glicksberg) depending merely on conditions for local directions of correspondences, so that we may obtain a general condition that may not depend on any global continuity and convexity on values of mappings for the existence of economic equilibria. We also apply the result for the existence of competitive equilibrium in economies with default and/or bankruptcy.Articl