Measuring Model-Specific Alignment Drift in LLM-Based Opinion Dynamics
Authors: Nataša Djurdjevac Conrad, Sebastian Pokutta, Christof Schütte
Organizations: Zuse Institute Berlin, Germany · Institut für Mathematik, Technische Universität Berlin, Germany · Institut für Mathematik und Informatik, Freie Universität Berlin, Germany
Large language model (LLM) agents are increasingly used as synthetic participants in opinion-dynamics experiments, often assuming that an agent's behaviour is fully determined by its prompt. We test this assumption with a framework in which LLM agents discuss a contested policy issue over repeated rounds while their stance is quantified by a fixed psychometric instrument independent of any dynamics model. Across six LLMs, committed personas are intrinsically stable: in each of the five models tested without peer input, every agent keeps its assigned side for 20 rounds. The observed loss of alignment under discussion is therefore interaction-induced, we call it alignment drift, and model-specific: gpt-4.1 keeps opinion clusters apart, claude-sonnet-5 holds them partially, and gpt-5.6-sol and claude-opus-5 abandon them. Under selective attention, one LLM maintains separated opinion clusters under stance-homophilous attention. Qualitative profiles persist at doubled population and horizon and on a second issue. Such heterogeneity makes the LLM choice a first-class validity variable for social simulation.
Figures & tables
Figure 1: Top: one representative plenary replicate per LLM (individual opinions xi(t) ; color = initial side; marker area = number of agents sharing a value). Bottom: ensemble dispersion s(t) under plenary (solid) and selective attention (dashed); dotted lines are the no-discussion control for gpt-4.1 and claude-opus-5 . Without peers gpt-4.1 diverges to 0.60 while claude-opus-5 collapses to 0.14 ; selective attention keeps the spread high for gpt-4.1 ( 0.44 ) and claude-sonnet-5 ( 0.31 ) but not for the consensus forming LLMs.
LLM
Plenary s(T)
Selective s(T)
Homophily
Identity s(T)
best model (reps)
gpt-4.1
0.34
0.44
+0.49
0.58±0.04
FJ ( 5/5 )
claude-sonnet-5
0.36
0.31
+0.33
0.47±0.02
polarize ( 5/5 )
gemini-3.7-flash
0.21
0.27
+0.17
0.23±0.05
attractor ( 4/5 )
claude-opus-5
0.16
0.17
+0.00
0.26±0.05
FJ ( 5/5 )
gpt-5.6-sol
0.12
0.14
−0.04
0.19±0.03
FJ ( 5/5 )
claude-sonnet-4-5
0.08
0.12
−0.01
0.14±0.02
unresolved
Table 1: Behavioural profiles on the electric-vehicle-subsidy issue ( n=10 , T=20 , R=5 ; initial dispersion 0.47 ). s(T) : final population dispersion; homophily: stance-correlation of selective attention; identity: dispersion under the group-identity condition; best BIC-selected opinion model (selection frequency). Full fits are in Table 3 .
Appendix figures & tables3 assets
Supplementary material from the paper’s appendix.
Appendix
LLM
EV s(T)
4-day s(T)
Δ
4-day model
gpt-4.1
0.34
0.21
−0.13
FJ ( 5/5 )
claude-sonnet-5
0.36
0.25
−0.11
FJ ( 3/3 )
gemini-3.7-flash
0.21
0.16
−0.05
polarize ( 3/3 )
claude-opus-5
0.16
0.11
−0.05
FJ ( 2/3 )
gpt-5.6-sol
0.12
0.13
+0.01
FJ ( 3/3 )
claude-sonnet-4-5
0.08
0.12
+0.04
FJ ( 5/5 )
Appendix
Table 2: Second-topic replication (four-day work week, plenary, n=10 , T=20 ; R=5 for gpt-4.1 , claude-sonnet-4-5 and R=3 otherwise). The cross-LLM ordering is preserved; FJ is stable for the averaging models, while claude-sonnet-5 switches from polarize to FJ and gemini-3.7-flash from attractor to polarize.
LLM
model (reps)
Δ BIC null
Δ BIC next
parameters
RMSE 1
free (pers.)
gpt-4.1
FJ ( 5/5 )
7.1
3.0
β=0.92±0.01,λ=0.92±0.02
0.093
0.195 ( 0.260 )
claude-sonnet-5
polarize ( 5/5 )
14.5
3.7
β=0.77±0.08,λ=0.87±0.03,a=0.83
0.087
0.235 ( 0.264 )
gemini-3.7-flash
attractor ( 4/5 )
38.8
5.9
β=1.00±0.00,λ=0.90±0.00,c=−0.29
0.054
0.140 ( 0.342 )
claude-opus-5
FJ ( 5/5 )
73.7
18.5
β=0.60±0.03,λ=0.87±0.03
0.085
0.127 ( 0.353 )
gpt-5.6-sol
FJ ( 5/5 )
88.7
13.6
β=0.70±0.01,λ=0.94±0.01
0.059
0.121 ( 0.375 )
claude-sonnet-4-5
unresolved
115.4
0.7
—
0.088
0.144 ( 0.446 )
Appendix
Table 3: Model-fit quality on the plenary EV trajectories (medians over replicates). Δ BIC null : improvement over the persistence null; Δ BIC next : margin over the runner-up. Parameters are the modal-winner estimates ( β,λ : mean ± s.d. over its replicates). RMSE 1 : one-step; free: free-running from x(0) ; persistence free-run in parentheses. For claude-sonnet-4-5 the leading models are statistically indistinguishable ( ΔBICnext<1 ).
LLM
s(T) disc.
s(T) no-disc.
Δs(T)
D disc.
D no-disc.
S disc.
gpt-4.1
0.75
0.85
−0.10
0.16
0.19
1.00
gemini-3.7-flash
0.71
0.67
+0.05
0.17
0.11
1.00
claude-sonnet-5
0.50
0.59
−0.09
0.24
0.08
0.97
gpt-5.6-sol
0.39
0.58
−0.19
0.33
0.16
0.90
claude-opus-5
0.18
0.41
−0.23
0.51
0.26
0.60
Appendix
Table 4: Committed-persona regime ( n=10 , T=20 ; discussion R=5 for gpt-4.1 , R=3 otherwise; no-discussion R=3 ): final dispersion s(T) , mean per-agent displacement D=n1∑i∣xi(T)−xi(0)∣ , and sign retention S , with peer discussion versus the no-discussion control (no peer statements, no compose phase, own-history memory retained). Without peer input all five LLMs keep every agent on its assigned side ( S=1.00 ); discussion collapses gpt-5.6-sol and claude-opus-5 , with side crossings in both populations, more frequently for claude-opus-5 , while gpt-4.1 and gemini-3.7-flash hold.
Large language models (LLMs) increasingly interact with one another in multi-agent systems, from simulations of human discourse to influence operations and fully LLM-driven social platforms. These interactions give rise to new regimes of opinion propagation that are not yet well understood. We investigate whether classical opinion dynamics models, which have long been used to explain how interactions shape collective beliefs in human societies, can capture the behavior of LLM networks. Specifically, we quantify the relative contributions of classical opinion-dynamics mechanisms, including neighbor influence, stubbornness, homophily, and bias, to the evolution of LLM opinions. Among the mechanisms considered, a bias term capturing regression toward a model- and topic-dependent opinion emerges as a significant explanatory component, with its inclusion reducing cumulative estimated mean opinion error by up to 88%. We additionally observe similar trends across the evaluated model families, discussion topics, and network structures.
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University of Wisconsin–Madison · Google DeepMind · Stanford University