[jay_shark]

The first player should still shove with the range of hands as before . The caller has to be aware of the optimal shoving range by player A . If player A shoves on the first hand , then B knows he's shoving with the top ninth of all hands . B will only call if his hand is better than 50 % against the shovers all in range .

ie , ace king wins 53 % of the time against the top 9th percentile of hands . Therefore ace king must be included in the calling range for the first shove . It turns out player B should call with AK and 10+ .

You keep on working this out for the 2nd, 3rd ,4th hand etc

I realized after that I answered a slightly different problem .

ok a random hand against Player A's first shove wins 30 % of the time . That means if player B's first hand does better than 30 % , then he should call the all in .