Existence theorems for Nash equilibrium and equilibrium in secure strategies

M. Iskakov
Additional contact information
M. Iskakov: V. A. Trapeznikov Institute of Control Sciences RAS, Moscow

Journal of the New Economic Association, 2022, vol. 56, issue 4, 12-27

Abstract: The paper proposes a method for constructing existence theorems for equilibrium in secure strategies (EinSS) on the basis of the well-known existence theorems for Nash equilibrium. The system of definitions of the EinSS is interpreted as the development of the logic of rational behavior in the defi nition of Nash equilibrium. It is proved that under the condition of "strong threats" for the existence of EinSS, it is sufficient to fulfill the conditions of the known existence theorem for the Nash equilibrium only on the sets of secure strategies. This statement is formulated both globally and locally, and is an effective tool for application to practical problems. It opens up the possibility of constructing various particular existence theorems for EinSS. As a demonstration of the proposed approach, from the Debreu's theorem of the existence of social equilibrium, the corresponding theorem of the existence of the EinSS is obtained.

Keywords: equilibrium in secure strategies; Nash equilibrium; competitive deviations; noncompetitive deviations; Nash equilibrium existence theorems; rational choice theory (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.econorus.org/repec/journl/2022-56-12-27r.pdf (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:nea:journl:y:2022:i:56:p:12-27

DOI: 10.31737/2221-2264-2022-56-4-1

Access Statistics for this article

Journal of the New Economic Association is currently edited by Victor Polterovich and Aleksandr Rubinshtein

More articles in Journal of the New Economic Association from New Economic Association Contact information at EDIRC.
Bibliographic data for series maintained by Alexey Tcharykov ().