Nash Equilibrium Solutions for Continuous Static Games under Neutrosophic Environment

Neutrosophic set theory plays an important role in dealing with the impreciseness and inconsistency in data encountered in solving real life problems. This paper presents a novel approach to solving a new class of continuous static games within a neutrosophic framework. In the proposed methodology, the neutrosophic continuous static games are redefined into two separate crisp problems: the lower problem and the upper problem. The study further establishes the necessary conditions for determining equilibrium strategies in neutrosophic continuous static games. To demonstrate its effectiveness and practical applicability, the proposed method is validated through a numerical example.

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Publication Details

Journal
Neutrosophic Systems with Applications
Published
2025-04-22
DOI
https://doi.org/10.63689/2993-7159.1272
Citations
1
Primary Topic
Economic theories and models
Type
article
Field-Weighted Citation Impact
3.13
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article

Nash Equilibrium Solutions for Continuous Static Games under Neutrosophic Environment

M. G. Brikaa
1 citations
Neutrosophic Systems with Applications
Economic theories and models
3.13
article

Nash Equilibrium Solutions for Continuous Static Games under Neutrosophic Environment

M. G. Brikaa
article en
1 citations

Abstract

Neutrosophic set theory plays an important role in dealing with the impreciseness and inconsistency in data encountered in solving real life problems. This paper presents a novel approach to solving a new class of continuous static games within a neutrosophic framework. In the proposed methodology, the neutrosophic continuous static games are redefined into two separate crisp problems: the lower problem and the upper problem. The study further establishes the necessary conditions for determining equilibrium strategies in neutrosophic continuous static games. To demonstrate its effectiveness and practical applicability, the proposed method is validated through a numerical example.

Neutrosophic Systems with ApplicationsVol. 25(4)
Suez Canal University (EG)
Climate action
Openalex Percentile: Top 9%
Economic theories and models
3.13
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