Stabilizing unstable outcomes in prediction games

Steven Brams () and Marc Kilgour

MPRA Paper from University Library of Munich, Germany

Abstract: Assume in a 2-person game that one player, Predictor (P), does not have a dominant strategy but can predict with probability p > 1/2 the strategy choice of an opponent, Predictee (Q). Q chooses a strategy that maximizes her expected payoff, given that she knows p—but not P’s prediction—and that P will act according to his prediction. In all 2 2 strict ordinal games in which there is a unique Pareto-inferior Nash equilibrium (Class I) or no pure-strategy equilibrium (Class II), and which also has a Pareto-optimal non-Nash “cooperative outcome,” P can induce this outcome if p is sufficiently high. This scenario helps to explain the observed outcomes of a Class I game modeling the 1962 Cuban missile crisis between the United States and the Soviet Union, and a Class II game modeling the 2015 conflict between Iran and Israel over Iran’s possible development of nuclear weapons.

Keywords: Noncooperative games; prediction; Nash equilibrium; 1962 Cuban missile crisis; 2015 Iran-Israel conflict (search for similar items in EconPapers)
JEL-codes: C72 C78 D81 (search for similar items in EconPapers)
Date: 2017-03
New Economics Papers: this item is included in nep-gth and nep-hpe
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
https://mpra.ub.uni-muenchen.de/77655/1/MPRA_paper_77655.pdf original version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:77655

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter ().