  We investigate the opinion formation among the peoples and multiple political
parties using the one dimensional relativistic Boltzmann-Vlasov equation for
multi-components. A political party is constituted of politicians. The opinion
formation depends on self-thinkings of peoples and politicians, and the
constraint of the political party over opinions of politicians, when we
restrict ourselves to the conciliatory exchange of opinions between two
individuals. In particular, shock like profiles are obtained in the
distribution of opinions of peoples, when the self-thinking of politicians are
absent at the binary exchange of opinions between two politicians in the same
political party.
