If you look at this as a one-shot game, sure, but it's not. If everyone votes no the buyout would be rejected and the prospective buyers would have to offer a higher price to get it approved.
The tricky thing is that shareholder voters exhibit very weird and irrational behavior (due to proxies, lobbying, the T Rowe Price craziness, etc.), so I'm not sure game theory is terribly useful to begin with here.
The tricky thing is that shareholder voters exhibit very weird and irrational behavior (due to proxies, lobbying, the T Rowe Price craziness, etc.), so I'm not sure game theory is terribly useful to begin with here.