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This chapter introduces Matching Theory approaches to reciprocal recommendation. We start by introducing the Stable Marriage Problem, and an optimal solution in the form of the Gale-Shapley Algorithm. A modification of this algorithm for reciprocal recommendation is then introduced. Finally, we look at Matching Markets, which represent a generalisation of the Stable Marriage Problem, and the application of potential solutions to reciprocal recommendation.

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Matching Theory

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  • 发表日期：

    2025年

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  • James Neve

摘要

This chapter introduces Matching Theory approaches to reciprocal recommendation. We start by introducing the Stable Marriage Problem, and an optimal solution in the form of the Gale-Shapley Algorithm. A modification of this algorithm for reciprocal recommendation is then introduced. Finally, we look at Matching Markets, which represent a generalisation of the Stable Marriage Problem, and the application of potential solutions to reciprocal recommendation.