We present a proof of Arrow's theorem from social choice theory that uses a fixpoint argument. Specifically, we use Banach's result on the existence of a fixpoint of a contractive map defined on a complete metric space. Conceptually, our approach shows that dictatorships can be seen as fixpoints of a certain process
AbstractIn this paper, we prove fixed point theorems in a complete metric space using the concept of...
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping calle...
www.elsevier.com/locate/jmaa Fixed-point theorems for families of weakly non-expansive maps
We present a proof of Arrow's theorem from social choice theory that uses a fixpoint argument. Speci...
Many authors have defined contractive mappings on a complete metric space which are generalizations ...
We give a categorical account of Arrow's theorem, a seminal result in social choice theory
Fixed point theory is an elegant mathematical theory which is a beautiful mixture of analysis, topol...
The Banach contraction principle [1] is the first important result on fixed points for contractive t...
The topological approach to social choice was developed by Graciela Chichilnisky in the beginning of...
Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on th...
It can be observed that completeness of a metric space is not enough to ensure the existence of fixe...
Fixed point's theorems for ω-φ-contractions.Morales Medina, José Roberto.13 págs.moralesj@ula.veNive...
This paper is an attempt to examine the main theorems of social choice theory from the viewpoint of ...
Abstract. In this paper we present some equivalent statements with the fixed point property of a met...
We discuss weakly contractive maps on complete metric spaces. Following three methods of generalizin...
AbstractIn this paper, we prove fixed point theorems in a complete metric space using the concept of...
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping calle...
www.elsevier.com/locate/jmaa Fixed-point theorems for families of weakly non-expansive maps
We present a proof of Arrow's theorem from social choice theory that uses a fixpoint argument. Speci...
Many authors have defined contractive mappings on a complete metric space which are generalizations ...
We give a categorical account of Arrow's theorem, a seminal result in social choice theory
Fixed point theory is an elegant mathematical theory which is a beautiful mixture of analysis, topol...
The Banach contraction principle [1] is the first important result on fixed points for contractive t...
The topological approach to social choice was developed by Graciela Chichilnisky in the beginning of...
Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on th...
It can be observed that completeness of a metric space is not enough to ensure the existence of fixe...
Fixed point's theorems for ω-φ-contractions.Morales Medina, José Roberto.13 págs.moralesj@ula.veNive...
This paper is an attempt to examine the main theorems of social choice theory from the viewpoint of ...
Abstract. In this paper we present some equivalent statements with the fixed point property of a met...
We discuss weakly contractive maps on complete metric spaces. Following three methods of generalizin...
AbstractIn this paper, we prove fixed point theorems in a complete metric space using the concept of...
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping calle...
www.elsevier.com/locate/jmaa Fixed-point theorems for families of weakly non-expansive maps
DOI
Add to ORKG