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We investigate the opinion formation among the peoples and multiple politicalparties using the one dimensional relativistic Boltzmann-Vlasov equation formulti-components. A political party is constituted of politicians. The opinionformation depends on self-thinkings of peoples and politicians, and theconstraint of the political party over opinions of politicians, when werestrict ourselves to the conciliatory exchange of opinions between twoindividuals. In particular, shock like profiles are obtained in thedistribution of opinions of peoples, when the self-thinking of politicians areabsent at the binary exchange of opinions between two politicians in the samepolitical party.

Kinetic modeling of opinion formation of peoples via multiple political parties