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.Energy & Industr
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...
Abstract. In this paper we present some equivalent statements with the fixed point property of a met...
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...
Arrow's Impossibility Theorem is concerned with the problem of finding a collective choice rule whic...
The Banach contraction principle [1] is the first important result on fixed points for contractive t...
Fixed point's theorems for ω-φ-contractions.Morales Medina, José Roberto.13 págs.moralesj@ula.veNive...
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...
The topological approach to social choice was developed by Graciela Chichilnisky in the beginning of...
We discuss weakly contractive maps on complete metric spaces. Following three methods of generalizin...
www.elsevier.com/locate/jmaa Fixed-point theorems for families of weakly non-expansive maps
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...
Abstract. In this paper we present some equivalent statements with the fixed point property of a met...
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...
Arrow's Impossibility Theorem is concerned with the problem of finding a collective choice rule whic...
The Banach contraction principle [1] is the first important result on fixed points for contractive t...
Fixed point's theorems for ω-φ-contractions.Morales Medina, José Roberto.13 págs.moralesj@ula.veNive...
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...
The topological approach to social choice was developed by Graciela Chichilnisky in the beginning of...
We discuss weakly contractive maps on complete metric spaces. Following three methods of generalizin...
www.elsevier.com/locate/jmaa Fixed-point theorems for families of weakly non-expansive maps
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...
Abstract. In this paper we present some equivalent statements with the fixed point property of a met...
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