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The system mentioned in the title belongs to the family of the so-calledmassively multi-player online social games (MMOSG). It features a scoringsystem for the elements of the game that is prone to herding effects. Weanalyze in detail its stationary regime in the thermodynamic limit, when thenumber of players tends to infinity. In particular, for some classes of inputsequences and selection policies, we provide necessary and sufficientconditions for the existence of a complete meanfield-like measure, showing offan interesting condensation phenomenon.

Modeling a Case of Herding Behavior in a Multi-Player Game