Imagine the reverse situation, where the board could not decide on the price everyone got per share but did let someone get a controlling stake. I could by 51%

Imagine the reverse situation, where the board could not decide on the price everyone got per share but did let someone get a controlling stake. I could by 51% of a company for $10 per share and then use my controlling interest to pay myself a consulting fee that was the profits of the company. I could offer the rest of the shareholders $1 for their shares, knowing that I would never let them make any money off of them. When someone takes control you have to try and make sure that at the moment they take control every everyone is paid equally. It doesn't always work like that, but I hope this helps you understand the fairness of setting a price for the remaining shares when someone is in a position to take control of a company.