@article{Li2026, 
author = {Wen Li and Du Zou and Deyi Li},
title = {Weak Pareto–Nash equilibria in generalized interval-valued multiobjective games with fuzzy constraint mappings and applications to price competition},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {3011-3037},
keywords = {generalized interval-valued multiobjective game, weak Pareto–Nash equilibrium, interval-vector-valued function, fuzzy constraint mappings, price competition},
url = {https://www.sciopen.com/article/10.3934/math.2026121},
doi = {10.3934/math.2026121},
abstract = {In this study, we examine a generalized interval-valued multiobjective game with fuzzy constraint mappings (GIMGFCM). By employing interval support functions from convex geometry, the set of all    d-dimensional interval vectors is embedded into the space of real-valued continuous functions defined on the unit sphere in              R        d  . This embedding yields a closed convex cone        I    (            R        +    d    ) within that function space. Using this cone, we define a partial order for interval vectors and establish the semi-continuity and generalized        I    (            R        +    d    )-quasi-concavity of interval-vector-valued functions. On this basis, we propose a weak Pareto–Nash equilibrium concept for a GIMGFCM and prove an existence theorem for such equilibria. Finally, we apply the relevant theoretical framework to analyze a price competition problem between two firms that sell heterogeneous goods.}
}