A two-group opinion model has a stable antisymmetric state with opposite majority opinions per group, with a discontinuous transition to agreement at high noise or mixing.
The group sizes cancel out, resulting in effective coefficients +1, 0 and −1 before the transition rates in the resulting opinion density evolution equations shown below
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Biswas-Chatterjee-Sen kinetic exchange opinion model for two connected groups
A two-group opinion model has a stable antisymmetric state with opposite majority opinions per group, with a discontinuous transition to agreement at high noise or mixing.