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Pitman sampling formula and an empirical study of choice behavior

Masato Hisakado, Fumiaki Sano, Shintaro Mori

posted on 29 July 2017

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This study discusses choice behavior using a voting model in which voters can obtain information from a finite number   of previous voters. Voters vote for a candidate with a probability proportional to the previous vote ratio, which is visible to the voters. We obtain Pitman sampling formula as the equilibrium distribution of   votes. We present the model as a process of making posts on a bulletin board system,, where users can choose one of many threads to create a post. We explore how this choice depends on the last   posts and the distribution of   posts across threads. We conclude that the posting process is described by our voting model for a small   , which might correspond to the time horizon of users' response.