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Tenable threats when Nash equilibrium is the norm
- 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.
- Subjects :
- game theory
Statistics and Probability
JEL: C - Mathematical and Quantitative Methods/C.C7 - Game Theory and Bargaining Theory/C.C7.C73 - Stochastic and Dynamic Games • Evolutionary Games • Repeated Games
Economics and Econometrics
JEL: D - Microeconomics/D.D0 - General/D.D0.D01 - Microeconomic Behavior: Underlying Principles
[QFIN]Quantitative Finance [q-fin]
C.C7.C72
JEL: D - Microeconomics/D.D8 - Information, Knowledge, and Uncertainty/D.D8.D83 - Search • Learning • Information and Knowledge • Communication • Belief • Unawareness
JEL: D - Microeconomics/D.D9 - Intertemporal Choice/D.D9.D91 - Intertemporal Household Choice • Life Cycle Models and Saving
microeconomics
Nash Equilibrium
Mathematics (miscellaneous)
backward induction
JEL: C - Mathematical and Quantitative Methods/C.C7 - Game Theory and Bargaining Theory/C.C7.C72 - Noncooperative Games
games of perfect information
sequential rationality
threat
Statistics, Probability and Uncertainty
credible threat
equilibrium refinement
Social Sciences (miscellaneous)
Subjects
Details
- ISSN :
- 14321270 and 00207276
- Volume :
- 51
- Database :
- OpenAIRE
- Journal :
- International Journal of Game Theory
- Accession number :
- edsair.doi.dedup.....29df131b8ecd1ff019c6eeb8399ac907