The DOI matches its Crossref record.
On the Strategic Stability of Equilibria
Abstract
A basic problem in the theory of noncooperative games is the following: which Nash equilibria are strategically stable, i.e. self-enforcing, and does every game have a strategically stable equilibrium?We list three conditions which seem necessary for strategic stabilitybackwards induction, iterated dominance, and invariance-and define a set-valued equilibrium concept that satisfies all three of them.We prove that every game has at least one such equilibrium set.Also, we show that the departure from the usual notion of single-valued equilibrium is relatively minor, because the sets reduce to points in all generic games.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Monitoring and reputation: The choice between bank loans and directly placed debt
Diamond, D. W. (1991) · Journal of Political Economy · doi:10.1086/261775 · Cited by 3,331
The Folk Theorem in Repeated Games with Discounting or with Incomplete Information
Fudenberg, D., & Maskin, E. (1986) · Econometrica · doi:10.2307/1911307 · Cited by 2,395
Multiagent systems: algorithmic, game-theoretic, and logical foundations
(2009) · Choice Reviews Online · doi:10.5860/choice.46-5662 · Cited by 1,756
Evolutionary Selection in Normal-Form Games
Ritzberger, K., & Weibull, J. W. (1995) · Econometrica · doi:10.2307/2171774 · Cited by 470
Modeling Rational Players: Part II
Binmore, K. (1988) · Economics and Philosophy · doi:10.1017/s0266267100000328 · Cited by 346
Metadata
- Authors
- Kohlberg, E., & Mertens, J.-F.
- Venue
- Econometrica
- Publisher
- JSTOR
- Published
- 1986-09
- Volume
- 54
- Issue
- 5
- Pages
- 1003
- ISSN
- 0012-9682 (ISSN-L)
- OpenAlex
- W2130937741
- Cited by
- 1,397
- References
- 0
- FWCI
- 43.56
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On the Strategic Stability of Equilibria. https://app.cochat.ai/papers/10.2307/1912320
- The paper
- Kohlberg, E., & Mertens, J.-F. (1986). On the Strategic Stability of Equilibria. Econometrica. https://doi.org/10.2307/1912320
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.