When using the Alpha-Beta-AI in the Ludii player, it always gives a response about how deep it could go in the search tree.

This is valuable information to assess the quality of moves (i guess) but what does it really mean for the task of move-selection ?

For example if for some game it takes 60 sec to calculate to reach depth 10 (resulting in move A),

and would maybe need another 40 sec to get to 'complete search of depth 11' (resulting in move B).

Would the selected move be the same after 80 seconds (move A) when the next depth could not be checked completely ?

Or stated otherwise: Will the selected move always be the same for a certain depth, or can the extra seconds make a difference?

I tested some Alpha-Beta games and the correlation of depth & moves seemed to be very strong in the Ludii player algorithm.

This is valuable information to assess the quality of moves (i guess) but what does it really mean for the task of move-selection ?

For example if for some game it takes 60 sec to calculate to reach depth 10 (resulting in move A),

and would maybe need another 40 sec to get to 'complete search of depth 11' (resulting in move B).

Would the selected move be the same after 80 seconds (move A) when the next depth could not be checked completely ?

Or stated otherwise: Will the selected move always be the same for a certain depth, or can the extra seconds make a difference?

I tested some Alpha-Beta games and the correlation of depth & moves seemed to be very strong in the Ludii player algorithm.