Add to ORKGIn this paper we use only Sperner's lemma to prove the existence of general equilibrium for a competitive economy with production or with uncertainty and financial assets. We show that the direct use of Sperner's lemma together with Carathéodory's convexity theorem and basic properties of topology such as partition of unit, finite covering of a compact set allow us to bypass the Kakutani fixed point theorem even in establishing the Gale-Nikaido-Debreu Lemma. We also provide a new proof of the Kakutani fixed point theorem based on Sperner's lemma
In this work, we attempt to characterize the main theoretical difficulties to prove the existence of...
[[abstract]]We apply the Himmelberg fixed-point theorem to establish existence theorems of equilibri...
We introduce a generalized form of the Fan-Browder fixed point theorem and apply it to game-theoreti...
In this paper we use only Sperner's lemma to prove the existence of general equilibrium for a compet...
In this paper we use only Sperner’s lemma to prove the existence of general equilibrium for a compet...
In characterizing the existence of general equilibrium, existing studies mainly draw on Brouwer and ...
The Gale–Nikaido–Debreu lemma plays an important role in establishing the existence of competitive e...
available for noncommercial, educational purposes, provided that this copyright statement appears on...
As shown in Debreu(1959, Ch.5), Gale-Nikaido's lemma of Gale(1955) and Nikaido(1956a) is the key in ...
This paper investigates the mappings used in the proof of existence of a general competitive equilib...
This paper gives a proof of the existence of general equilibrium without the use of a fixed point th...
This book presents a systematic approach to problems in economic equilibrium based on fixed-point ar...
Can a cake be divided amongst people in such a manner that each individual is content with their sha...
Kakutani fixed point theorem is a generalization of the Brouwer fixed point theorem (FPT). Brouwer F...
Kakutani’s fixed point theorem has many applications in economics and game theory. One of its most w...
In this work, we attempt to characterize the main theoretical difficulties to prove the existence of...
[[abstract]]We apply the Himmelberg fixed-point theorem to establish existence theorems of equilibri...
We introduce a generalized form of the Fan-Browder fixed point theorem and apply it to game-theoreti...
In this paper we use only Sperner's lemma to prove the existence of general equilibrium for a compet...
In this paper we use only Sperner’s lemma to prove the existence of general equilibrium for a compet...
In characterizing the existence of general equilibrium, existing studies mainly draw on Brouwer and ...
The Gale–Nikaido–Debreu lemma plays an important role in establishing the existence of competitive e...
available for noncommercial, educational purposes, provided that this copyright statement appears on...
As shown in Debreu(1959, Ch.5), Gale-Nikaido's lemma of Gale(1955) and Nikaido(1956a) is the key in ...
This paper investigates the mappings used in the proof of existence of a general competitive equilib...
This paper gives a proof of the existence of general equilibrium without the use of a fixed point th...
This book presents a systematic approach to problems in economic equilibrium based on fixed-point ar...
Can a cake be divided amongst people in such a manner that each individual is content with their sha...
Kakutani fixed point theorem is a generalization of the Brouwer fixed point theorem (FPT). Brouwer F...
Kakutani’s fixed point theorem has many applications in economics and game theory. One of its most w...
In this work, we attempt to characterize the main theoretical difficulties to prove the existence of...
[[abstract]]We apply the Himmelberg fixed-point theorem to establish existence theorems of equilibri...
We introduce a generalized form of the Fan-Browder fixed point theorem and apply it to game-theoreti...