Piecewise linear model of self-organized hierarchy formation

Miyaguchi, Tomoshige; Miki, Takamasa; Hamada, Ryota

doi:10.1103/physreve.102.032213

Phys. Rev. E

2020

DOI: 10.1103/physreve.102.032213

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Piecewise linear model of self-organized hierarchy formation

Tomoshige Miyaguchi

Takamasa Miki

Ryota Hamada

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Cited by 2 publications

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“…Empirical studies have indicated the presence of a "winner effect": An individual who participates in a favorable interaction, such as winning a fight or receiving an endorsement, increases their likelihood of being favored in future interactions (10,11). Both theoretical work (12)(13)(14)(15)(16)(17)(18)(19)(20) and controlled experiments in humans (21) suggest that winner effects are sufficient (though not necessary) to form stable hierarchies. Mechanistic explanations of winner effects vary.…”

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confidence: 99%

Emergence of hierarchy in networked endorsement dynamics

Kawakatsu

Chodrow

Eikmeier

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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Many social and biological systems are characterized by enduring hierarchies, including those organized around prestige in academia, dominance in animal groups, and desirability in online dating. Despite their ubiquity, the general mechanisms that explain the creation and endurance of such hierarchies are not well understood. We introduce a generative model for the dynamics of hierarchies using time-varying networks, in which new links are formed based on the preferences of nodes in the current network and old links are forgotten over time. The model produces a range of hierarchical structures, ranging from egalitarianism to bistable hierarchies, and we derive critical points that separate these regimes in the limit of long system memory. Importantly, our model supports statistical inference, allowing for a principled comparison of generative mechanisms using data. We apply the model to study hierarchical structures in empirical data on hiring patterns among mathematicians, dominance relations among parakeets, and friendships among members of a fraternity, observing several persistent patterns as well as interpretable differences in the generative mechanisms favored by each. Our work contributes to the growing literature on statistically grounded models of time-varying networks.

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mentioning

confidence: 99%

Emergence of hierarchy in networked endorsement dynamics

Kawakatsu

Chodrow

Eikmeier

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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“…As intuition would suggest, and as I will illustrate through formal simulations, these dyadic encounters clarify status hierarchies. Individuals occupy increasingly differentiated and rank-ordered positions, aligning with their individual capacity for aggression (see Bonabeau, Theraulaz, and Deneubourg 1996; Miyaguchi, Miki, and Hamada 2020). This perspective, which might be termed the dyadic framework, supposes that peer aggression contributes to clear status hierarchies.…”

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confidence: 99%

Clarity from Violence? Intragroup Aggression and the Structure of Status Hierarchies

Chu

2023

Am Sociol Rev

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Status hierarchies are fundamental forms of social order that structure peer interactions like intragroup aggression. The reciprocal relationship, however, remains unclear. Does intragroup aggression strengthen, or weaken, status hierarchies? Under what conditions? To answer these questions, I analyze an original dataset containing victimization and directed friendship networks of 8,229 adolescents across 256 classes and three semesters. Measuring the strength of status hierarchies by how likely friendship nominations are characterized by hierarchical triads, I show that peer aggression weakens status hierarchies, and temporal sequences indicate the results are unlikely to be explained by reverse causality. I theorize that clear status hierarchies emerge through coordinated reallocations of esteem, and peer aggression engenders hierarchy primarily by giving onlookers shared opportunities to coordinate. Peer aggression, however, is frequently ambiguous, and onlookers arrive at inconsistent interpretations, fragmenting how they assign esteem and reducing the clarity of status distinctions. Additional analyses confirm that whether peer aggression strengthens or weakens status hierarchies depends on the consistent perceptions of onlookers. Taken together, this research demonstrates the significance of third-party onlookers and their ability to consistently interpret interactions, while offering new explanations for when peer aggression is self-limiting or persistent.

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Piecewise linear model of self-organized hierarchy formation

Cited by 2 publications

References 29 publications

Emergence of hierarchy in networked endorsement dynamics

Emergence of hierarchy in networked endorsement dynamics

Clarity from Violence? Intragroup Aggression and the Structure of Status Hierarchies

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