Here is the variation: We have some P piles of numbers,each having some pi numbers , and in each turn a player may choose a pile, and then a number from the chosen pile. All the numbers greater than equal to the chosen number are removed from the chosen pile. We have to determine, if the player moving first has a winning strategy.
What I have done is, read about the NIM game and how we could generate a winning strategy. But this variation seems to have a dynamic rule set. Is this a standard type? If so, where can I read about this.? If not, how to approach this? Help in any direction will be appreciated.