Interacting urn models with strong reinforcement

Shuo Qin

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arXiv · 2311.13480

Interacting urn models with strong reinforcement

Shuo Qin

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Abstract

For the interacting urn model with polynomial reinforcement, it has been conjectured that almost surely one color monopolizes all the urns if the interaction parameter $p>0$. We disprove the conjecture. For the case $p=1$, we give a sufficient condition for monopoly, which improves a previous result obtained by Launay.

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Shuo Qin. 2023-11-22. Interacting urn models with strong reinforcement. https://arxiv.org/abs/2311.13480

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