All-Moscow seminar "Mathematical methods of decision analysis in economics, finance and politics"

All-Moscow Seminar "Mathematical Methods for Analysis of Optimal Decisions in Economics, Business and Politics" took place on 23th of June.

Topic: "Revenue-Maximizing Matching Algorithms"
Speakers: Kemal Kıvanç Aköz, Emre Doğan (HSE University)

Seminar leaders:
Doctor of Technical Sciences, prof. Aleskerov Fuad Tagievich
Doctor of Technical Sciences, prof. Podinovsky Vladislav Vladimirovich
Doctor of Technical Sciences, prof. Mirkin Boris Grigorievich

Annotation:
We consider the matching algorithm choice of a revenue-maximizing matching platform on a two-sided finite society where agents are ordered by their pizzazz values, and therefore preferences are homogeneous. The platform sets gender-specific prices and a matching algorithm specifying a random matching over each possible membership base. We show that the platform maximizes its revenue by executing uniform random matching over the membership base formed of the entire scarce type of agents and the same number of other type of agents with top pizzazz values. Moreover, this outcome can be supported as a subgame-perfect equilibrium.