Heider balance, prejudices and size effect

Kułakowski, K.; Stojkow, Maria; Żuchowska-Skiba, Dorota

doi:10.1080/0022250x.2019.1664509

Cited by 11 publications

(6 citation statements)

References 22 publications

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“…For balanced states of network U = −1. Jammed states produce positive deviations from this value, both for symmetric [10,13] and asymmetric [14,15,16] relations. On the other hand, treating U as energy allowed to develop a thermodynamic formalism and to identify a phase transition to HB in low temperatures [17,18,19].…”

Section: Introductionmentioning

confidence: 93%

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Heider balance of a chain of actors as dependent on the interaction range and a thermal noise

Malarz,

Kułakowski

2020

Preprint

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The Heider balance is investigated in a chain of actors, with periodic boundary conditions and the neighborhood of range r, with r as a parameter. Two model dynamics are applied: a deterministic cellular automaton (Malarz et al, Physica D 411 (2020) 132556) and the heat-bath algorithm, with the density of unbalanced-balanced triads in the role of energy. The outcome is a spectrum of energy in stationary and blinking states and a balanced-unbalanced network transition driven by thermal noise. The critical point T c increases with the range r and it does not depend on the system size.

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Section: Introductionmentioning

confidence: 93%

“…Next three Sections are devoted to calculations, results and discussion, respectively. On the contrary to our previous works [13,15], here we skip the discussion of social aspects of the model. In a sense, the Heider dynamics is flying on its own.…”

Section: Introductionmentioning

confidence: 99%

Heider balance of a chain of actors as dependent on the interaction range and a thermal noise

Malarz,

Kułakowski

2020

Preprint

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“…where N is the total number of nodes. Here, jammed states are possible, too [29]. As each configuration of links s ij = ±1 is a fixed point, we use ).…”

Section: Algorithmsmentioning

confidence: 99%

Structural Balance of Opinions

Krawczyk

Kułakowski

2021

Entropy

Self Cite

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The concept of Heider balance, usually applied to interpersonal relations, is generalized here to opinions gathered in surveys. At first, we compare four algorithms, which drive a matrix dataset to a balanced state. The criterion is that the final state obtained with an algorithm should be as close as possible to the initial state. The result is that deterministic differential equations work better than their Monte Carlo counterparts. Next, we apply the winning algorithms to the matrix of correlations between opinions gathered in American states between 1974 and 1998. The results are interpreted in terms of the classic comfort hypothesis (E. Babbie, 2007).

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“…In line with other works [5,14,[18][19][20] we estimate group stability from the stability of so called triads, i.e., building blocks of groups involving three agents. Triadic closure is seen as a generative mechanism for social communities [5,12,14,[21][22][23]. Models for structural balance [12,18,20,24,25] determine the stability of these triads from the signs of the relations between agents (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Group relations, resilience and the I Ching

Schweitzer

2022

Physica A: Statistical Mechanics and its Applications

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Heider balance, prejudices and size effect

Cited by 11 publications

References 22 publications

Heider balance of a chain of actors as dependent on the interaction range and a thermal noise

Heider balance of a chain of actors as dependent on the interaction range and a thermal noise

Structural Balance of Opinions

Group relations, resilience and the I Ching

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