Information patterns and Nash equilibria in extensive games - II

Pradeep Dubey; Mamoru Kaneko

doi:10.1016/0165-4896(85)90045-9

Information patterns and Nash equilibria in extensive games - II

Pradeep Dubey
, Mamoru Kaneko

Economics

Stony Brook University

University of Tsukuba

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In Part I of this paper we introduced extensive games with a non-atomic continuum of players. It was shown that the Nash plays (outcomes) are invariant of the information patterns on the game, provided that no player's unilateral change in moves can be observed by others. This led to an enormous reduction in the Nash plays of the these games, as exemplified in the anti-folk theorem. Our concern in this sequel is to develop a finite version of these results.

Original language	English
Pages (from-to)	247-262
Number of pages	16
Journal	Mathematical Social Sciences
Volume	10
Issue number	3
DOIs	https://doi.org/10.1016/0165-4896(85)90045-9
State	Published - Dec 1985

Keywords

primitive Nash play
replication of an extensive game
ε{lunate}-Nash equilibrium

Access to Document

10.1016/0165-4896(85)90045-9

Cite this

@article{0f8193205e8a4c45a568899c0f4a9a34,

title = "Information patterns and Nash equilibria in extensive games - II",

abstract = "In Part I of this paper we introduced extensive games with a non-atomic continuum of players. It was shown that the Nash plays (outcomes) are invariant of the information patterns on the game, provided that no player's unilateral change in moves can be observed by others. This led to an enormous reduction in the Nash plays of the these games, as exemplified in the anti-folk theorem. Our concern in this sequel is to develop a finite version of these results.",

keywords = "primitive Nash play, replication of an extensive game, ε\{lunate\}-Nash equilibrium",

author = "Pradeep Dubey and Mamoru Kaneko",

year = "1985",

month = dec,

doi = "10.1016/0165-4896(85)90045-9",

language = "English",

volume = "10",

pages = "247--262",

journal = "Mathematical Social Sciences",

issn = "0165-4896",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Information patterns and Nash equilibria in extensive games - II

AU - Dubey, Pradeep

AU - Kaneko, Mamoru

PY - 1985/12

Y1 - 1985/12

N2 - In Part I of this paper we introduced extensive games with a non-atomic continuum of players. It was shown that the Nash plays (outcomes) are invariant of the information patterns on the game, provided that no player's unilateral change in moves can be observed by others. This led to an enormous reduction in the Nash plays of the these games, as exemplified in the anti-folk theorem. Our concern in this sequel is to develop a finite version of these results.

AB - In Part I of this paper we introduced extensive games with a non-atomic continuum of players. It was shown that the Nash plays (outcomes) are invariant of the information patterns on the game, provided that no player's unilateral change in moves can be observed by others. This led to an enormous reduction in the Nash plays of the these games, as exemplified in the anti-folk theorem. Our concern in this sequel is to develop a finite version of these results.

KW - primitive Nash play

KW - replication of an extensive game

KW - ε{lunate}-Nash equilibrium

UR - https://www.scopus.com/pages/publications/0037916343

U2 - 10.1016/0165-4896(85)90045-9

DO - 10.1016/0165-4896(85)90045-9

M3 - Article

SN - 0165-4896

VL - 10

SP - 247

EP - 262

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

IS - 3

ER -

Information patterns and Nash equilibria in extensive games - II

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this