Alice Bob Carol Daniel

Most preferred Chinese Italian Indian Italian ,

Indian Chinese Chinese Indian,

Least preferred Italian Indian Italian Chinese

As before, the group preference is constructed by voting: CuisineAis preferred toBifAgets the majority of votes againstBin a two-alternative vote. Additionally, because it is Daniel's birthday, the group decides that whenever there is a tie between cuisinesAandB, they will go to cuisineAif Daniel prefersAmore thanB, and to cuisineBotherwise. Is the new group preference transitive? Justify your answer