The Pitman-Yor Process and Choice Behavior

  • Masato Hisakado
  • Shintaro Mori
Part of the Agent-Based Social Systems book series (ABSS, volume 14)


In this chapter, we discuss a voting model with two candidates, C1 and C2. We set two types of voters – herders and independents. The voting of independent voters is based on their fundamental values; on the other hand, the voting of herders is based on the number of votes. Herders always select the majority of the previous r votes, which is visible to them. We call them digital herders. As the fraction of herders increases, the model features a phase transition beyond which a state where most voters make the correct choice coexists with one where most of them are wrong. Here we obtain the exact solutions of the model. The main contents of this chapter are based on Hisakado (J Phys Soc Jpn 87(2):024002-2419, 2018).


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Masato Hisakado
    • 1
  • Shintaro Mori
    • 2
  1. 1.Nomura Holdings, Inc.Chiyoda-kuJapan
  2. 2.Faculty of Science and Technology, Department of Mathematics and PhysicsHirosaki UniversityHirosakiJapan

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