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19972025
most citedCorrelated Binomial Models and Correlation Structures

64 citations · 371 across the 37 of their papers we have counts for

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16 papers · 1 filter

physics.soc-ph2025

Ornstein-Uhlenbeck Process for Horse Race Betting: A Micro-Macro Analysis of Herding and Informed Bettors

Tomoya Sugawara, Shintaro Mori

We model the time evolution of single win odds in Japanese horse racing as a stochastic process, deriving an Ornstein--Uhlenbeck process by analyzing the probability dynamics of vo…

physics.soc-ph2023★ 1 cited

Information cascade on networks and phase transitions

Masato Hisakado, Kazuaki Nakayama, Shintaro Mori

Herein, we consider a voting model for information cascades on several types of networks -- a random graph, the Barabási-Albert(BA) model, and lattice networks -- by using one para…

physics.soc-ph2020

Optimal Learning Dynamics of Multi Agents in Restless Multiarmed Bandit Game

Kazuaki Nakayama, Ryuzo Nakamura, Masato Hisakado +1

Social learning is learning through the observation of or interaction with other individuals; it is critical in the understanding of the collective behaviors of humans in social ph…

physics.soc-ph2018★ 15 cited

A voter model on networks and multivariate beta distribution

Shintaro Mori, Masato Hisakado, Kazuaki Nakayama

In elections, the vote shares or turnout rates show a strong spatial correlation. The logarithmic decay with distance suggests that a 2D noisy diffusive equation describes the syst…

physics.soc-ph2017★ 5 cited

The Pitman-Yor process and an empirical study of choice behavior

Masato Hisakado, Fumiaki Sano, Shintaro Mori

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 pro…

physics.soc-ph2017★ 11 cited

Mean Field Voter Model of Election to the House of Representatives in Japan

Fumiaki Sano, Masato Hisakado, Shintaro Mori

In this study, we propose a mechanical model of a plurality election based on a mean field voter model. We assume that there are three candidates in each electoral district, i.e.,…

physics.soc-ph2016★ 5 cited

Phase transition of social learning collectives and "Echo chamber"

Shintaro Mori, Kazuaki Nakayama, Masato Hisakado

An "Echo chamber" is the state of social learning agents whose performances are deteriorated by excessive observation of others. We understand this to be the collective behavior of…

physics.soc-ph2015★ 11 cited

Information cascade on networks

Masato Hisakado, Shintaro Mori

In this paper, we discuss a voting model by considering three different kinds of networks: a random graph, the Barabási-Albert(BA) model, and a fitness model. A voting model repres…

physics.soc-ph2014★ 22 cited

Information cascade, Kirman's ant colony model, and kinetic Ising model

Masato Hisakado, Shintaro Mori

In this paper, we discuss a voting model in which voters can obtain information from a finite number of previous voters. There exist three groups of voters: (i) digital herders and…

physics.soc-ph2012★ 9 cited

Collective Adoption of Max-Min Strategy in an Information Cascade Voting Experiment

Shintaro Mori, Masato Hisakado, Taiki Takahashi

We consider a situation where one has to choose an option with multiplier m. The multiplier is inversely proportional to the number of people who have chosen the option and is prop…

physics.soc-ph2012★ 13 cited

Two kinds of Phase transitions in a Voting model

Masato Hisakado, Shintaro Mori

In this paper, we discuss a voting model with two candidates, C_0 and C_1. We consider two types of voters--herders and independents. The voting of independents is based on their f…

physics.soc-ph2011★ 27 cited

Phase transition to two-peaks phase in an information cascade voting experiment

Shintaro Mori, Masato Hisakado, Taiki Takahashi

Observational learning is an important information aggregation mechanism. However, it occasionally leads to a state in which an entire population chooses a sub-optimal option. When…

physics.soc-ph2011★ 31 cited

Digital herders and phase transition in a voting model

Masato Hisakado, Shintaro Mori

In this paper, we discuss a voting model with two candidates, C_1 and C_2. We set two types of voters--herders and independents. The voting of independent voters is based on their…

physics.soc-ph2009★ 3 cited

Emergence of scale invariance and efficiency in a racetrack betting market

Shintaro Mori, Masato Hisakado

We study the time change of the relation between the rank of a racehorse in the Japan Racing Association and the result of victory or defeat. Horses are ranked according to the win…

physics.soc-ph2008★ 14 cited

Exact Scale Invariance in Mixing of Binary Candidates in Voting Model

Shintaro Mori, Masato Hisakado

We introduce a voting model and discuss the scale invariance in the mixing of candidates. The Candidates are classified into two categories and are called as `binary…

physics.soc-ph2006★ 9 cited

Correlation Structures of Correlated Binomial Models and Implied Default Distribution

S. Mori, K. Kitsukawa, M. Hisakado

We show how to analyze and interpret the correlation structures, the conditional expectation values and correlation coefficients of exchangeable Bernoulli random variables. We stud…