Comment by lvnfg

The board cannot, by itself, decide the value per share. The board can present its opinion that the deal is fair by approving it, and suggest that all shareholders take this course of action by subjecting the deal for shareholder vote. If the majority of shareholders agree by voting in favor, then the company will be sold, even if a significant minority disagrees, because the company is structured to act according to the will of the majority. That's what makes this a "fair deal".