Back to Search Start Over

Tenable threats when Nash equilibrium is the norm

Authors :
Jozsef Sakovics
Françoise Forges
CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
Université Paris Dauphine-PSL
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
Laboratoire d'Economie de Dauphine (LEDa)
Institut de Recherche pour le Développement (IRD)-Université Paris Dauphine-PSL
Source :
Forges, F & Sakovics, J 2022, ' Tenable threats when Nash Equilibrium is the norm ', International Journal of Game Theory, vol. 51, no. 3-4, pp. 589-605 . https://doi.org/10.1007/s00182-022-00806-3
Publication Year :
2022
Publisher :
Springer Science and Business Media LLC, 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.

Details

ISSN :
14321270 and 00207276
Volume :
51
Database :
OpenAIRE
Journal :
International Journal of Game Theory
Accession number :
edsair.doi.dedup.....29df131b8ecd1ff019c6eeb8399ac907