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Tenable threats when Nash equilibrium is the norm.

Authors :
Forges, Françoise
Sákovics, József
Source :
International Journal of Game Theory. Nov2022, Vol. 51 Issue 3/4, p589-605. 17p.
Publication Year :
2022

Abstract

We formally assume that players in a game consider Nash Equilibrium (NE) the behavioral norm. In finite games of perfect information this leads to a refinement of NE: Faithful Nash Equilibrium (FNE). FNE is outcome equivalent to NE of the "trimmed" game, obtained by restricting the original tree to its NE paths. Thus, it always exists but it need not be unique. Iterating the norm ensures uniqueness of outcome. FNE may violate backward induction when subgame perfection requires play according to the SPE following a deviation from it. We thus provide an alternative view of tenable threats in equilibrium analysis. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*NASH equilibrium

Details

Language :
English
ISSN :
00207276
Volume :
51
Issue :
3/4
Database :
Academic Search Index
Journal :
International Journal of Game Theory
Publication Type :
Academic Journal
Accession number :
160293910
Full Text :
https://doi.org/10.1007/s00182-022-00806-3