This is a great explanation, but who would sell their share back to the company for $1000 if the value of the other shares will increase immediately after the b

This is a great explanation, but who would sell their share back to the company for $1000 if the value of the other shares will increase immediately after the buy-back? I assume that if it's expected the company shares will go up in value due to the buyback, then they will have to pay a premium and buy the shares at a price that is close to the post-buyback share value. So, perhaps at $1010/share. However, I think there's no premium price equal to the post-buyback share price that they can pay to buy back shares that doesn't result in the company total value increasing as a whole from the buyback. This seems to be a contradiction. I can only conclude that it isn't known that the buyback will raise share prices, because the loss of capital from the company should balance the increased fraction of future earnings that each share represents. (edit: rewrote post after working through its logic).