Impossibility of Nash implementation in two-person economies

Shinsuke Nakamura

doi:10.1007/s100580050011

Impossibility of Nash implementation in two-person economies

Shinsuke Nakamura

Faculty of Economics

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

In this note, we prove two impossibility results of Nash implementation in two-person economies. First, we will show the non-existence of continuous and balanced mechanisms which implement the Walrasian correspondence. Second, by adding a convexity assumption of mechanisms, we present the impossibility of continuous implementation of Pareto optimal and individually rational allocations in balanced way.

Original language	English
Pages (from-to)	159-165
Number of pages	7
Journal	Review of Economic Design
Volume	3
Issue number	2
DOIs	https://doi.org/10.1007/s100580050011
Publication status	Published - 1998 Jan 1

Fingerprint

Keywords

Implementation
Impossibility
Nash equilibrium
Two-agent
Walras equilibrium

ASJC Scopus subject areas

Economics, Econometrics and Finance(all)

Cite this

Nakamura, S. (1998). Impossibility of Nash implementation in two-person economies. Review of Economic Design, 3(2), 159-165. https://doi.org/10.1007/s100580050011

@article{f2cdca14b0514e4ab1746e21dc27f3d1,

title = "Impossibility of Nash implementation in two-person economies",

abstract = "In this note, we prove two impossibility results of Nash implementation in two-person economies. First, we will show the non-existence of continuous and balanced mechanisms which implement the Walrasian correspondence. Second, by adding a convexity assumption of mechanisms, we present the impossibility of continuous implementation of Pareto optimal and individually rational allocations in balanced way.",

keywords = "Implementation, Impossibility, Nash equilibrium, Two-agent, Walras equilibrium",

author = "Shinsuke Nakamura",

year = "1998",

month = jan,

day = "1",

doi = "10.1007/s100580050011",

language = "English",

volume = "3",

pages = "159--165",

journal = "Review of Economic Design",

issn = "1434-4742",

publisher = "Springer Verlag",

number = "2",

}

TY - JOUR

T1 - Impossibility of Nash implementation in two-person economies

AU - Nakamura, Shinsuke

PY - 1998/1/1

Y1 - 1998/1/1

N2 - In this note, we prove two impossibility results of Nash implementation in two-person economies. First, we will show the non-existence of continuous and balanced mechanisms which implement the Walrasian correspondence. Second, by adding a convexity assumption of mechanisms, we present the impossibility of continuous implementation of Pareto optimal and individually rational allocations in balanced way.

AB - In this note, we prove two impossibility results of Nash implementation in two-person economies. First, we will show the non-existence of continuous and balanced mechanisms which implement the Walrasian correspondence. Second, by adding a convexity assumption of mechanisms, we present the impossibility of continuous implementation of Pareto optimal and individually rational allocations in balanced way.

KW - Implementation

KW - Impossibility

KW - Nash equilibrium

KW - Two-agent

KW - Walras equilibrium

UR - http://www.scopus.com/inward/record.url?scp=54649084668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=54649084668&partnerID=8YFLogxK

U2 - 10.1007/s100580050011

DO - 10.1007/s100580050011

M3 - Article

AN - SCOPUS:54649084668

VL - 3

SP - 159

EP - 165

JO - Review of Economic Design

JF - Review of Economic Design

SN - 1434-4742

IS - 2

ER -

Access to Document

10.1007/s100580050011