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The role of a matchmaker in buyer-vendor interactions. (English) Zbl 1188.91152

Summary: We consider a simple market where a vendor offers multiple variants of a certain product and preferences of both the vendor and potential buyers are heterogeneous and possibly even antagonistic. Optimization of the joint benefit of the vendor and the buyers turns the toy market into a combinatorial matching problem. We compare the optimal solutions found with and without a matchmaker, examine the resulting inequality between the market participants, and study the impact of correlations on the system.

MSC:

91B80 Applications of statistical and quantum mechanics to economics (econophysics)

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