Matrix-vector representation of various solution concepts
Fuad Aleskerov, Andrey Subochev
TL;DR
This paper introduces a unified matrix-vector framework for various solution concepts in game theory and proposes new versions of these solution sets.
Contribution
It develops a comprehensive matrix-vector representation for multiple solution concepts and introduces novel variants of solution sets.
Findings
Unified matrix-vector representation for solution concepts
Introduction of new solution set variants
Potential for simplified analysis of solution concepts
Abstract
A unified matrix-vector representation is developed of such solution concepts as the core, the uncovered, the uncaptured, the minimal weakly stable, the minimal undominated, the minimal dominant and the untrapped sets. We also propose several new versions of solution sets.
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Taxonomy
TopicsLogic, Reasoning, and Knowledge · Data Management and Algorithms · Constraint Satisfaction and Optimization