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Bifurcation-Based Predictive Modelling of Socio-Political Dynamics

2 September 2025   10:12 Diperbarui: 2 September 2025   10:12 29
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(Core Equation (Source: Privat Document)

2. Two illustrative baseline outcomes

From ensembles run with the above priors we expect to see two robust classes of outcomes:

(i) Gradual Recovery (Stabilization) --- "Containment" attractor

Conditions that produce this trajectory

Rapid and sincere accommodative action: high U\rho_U in practice (quick cash transfers, visible budget reallocations, meaningful policy reversals).
Low-to-moderate use of coercive measures (moderate K\rho_{\mathcal{K}}) that are surgical rather than sweeping.
Effective communications reducing information noise (lower effective \sigma).

Characteristic dynamics

E(t)E(t) falls over 2--6 weeks as relief takes effect.
T(t)T(t) rebounds slowly, crossing 0.5 within 30--60 days if relief is credible.
P(t)P(t) shows a sharp early peak (from shocks) followed by exponential-like decay; median P30P_{30} across the ensemble < 0.10.
H(t)H(t) remains suppressed (rarely crosses HcH_c); probability that H>HcH>H_c within 90 days < 10%.

Probabilistic summary (example)

Pr(Major escalation: P>Pc within 30 days)8%\Pr(\text{Major escalation: } P>P_c \text{ within 30 days}) \approx 8\%
Pr(H>Hc within 90 days)6%\Pr(H>H_c \text{ within 90 days}) \approx 6\%
Policy implication: Prioritise speed and visibility of UU --- rapid disbursal and credible monitoring of outcomes. Communication must aim to rebuild TT.

(ii) Escalation (Destabilizing) --- "Low-Trust" attractor

Conditions that produce this trajectory

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