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arXiv · 2408.06086

A Generalised $\lambda$-Core Concept for Normal Form Games

Subhadip Chakrabarti·Robert P Gilles·Lina Mallozzi
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Abstract

In this note we develop a generalisation of the $\lambda$-Core solution for non-cooperative games in normal form. We show that this generalised $\lambda$-Core is non-empty for the class of separable games that admit a socially optimal Nash equilibrium. Examples are provided that indicate that non-emptiness of the generalised $\lambda$-Core cannot be expected for large classes of normal form games.

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Subhadip Chakrabarti, Robert P Gilles, Lina Mallozzi. 2024-08-12. A Generalised $\lambda$-Core Concept for Normal Form Games. https://arxiv.org/abs/2408.06086

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