A Note on Strategic Stability of Cooperative Solutions for Multistage Games

Joint Authors

Wang, Lei
Liu, Cui
Xue, Juan
Gao, Hongwei

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-11-01

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

The problem of strategic stability of cooperative solutions for multistage games is studied.

The sufficient conditions related to discount factors are presented, which guarantee the existence of Nash or strong Nash equilibria in such games and therefore guarantee the strategic stability of cooperative solutions.

The deviating payoffs of players are given directly, which are related closely to these conditions and avoid the loss of super-additivity of a class of general characteristic functions.

As an illustration, Nash and strong Nash equilibria are found for the repeated infinite stage Prisoner’s dilemma game.

American Psychological Association (APA)

Wang, Lei& Liu, Cui& Xue, Juan& Gao, Hongwei. 2018. A Note on Strategic Stability of Cooperative Solutions for Multistage Games. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1152477

Modern Language Association (MLA)

Wang, Lei…[et al.]. A Note on Strategic Stability of Cooperative Solutions for Multistage Games. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1152477

American Medical Association (AMA)

Wang, Lei& Liu, Cui& Xue, Juan& Gao, Hongwei. A Note on Strategic Stability of Cooperative Solutions for Multistage Games. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1152477

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1152477