Hi, I'm trying learn about combinatorial game theory. Could anyone provide me links on tutorials game theories such as nim, sprague-grundy theorem etc. which will be quite easy to understand?
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Hey mkirsche, thanks for link! :) Could you provide me some more links on how to calculate the grundy numbers? It would be really helpful!
I think this page explains it pretty well: https://www.topcoder.com/community/data-science/data-science-tutorials/algorithm-games/. Basically, the way you calculate Grundy Numbers (also called Nimbers) to a game state as follows. If it's a losing state (no moves can be made), assign it a a Grundy number of 0. Otherwise, consider all Grundy numbers of states that can be reached in a single move. Then, the lowest non-negative number that is not among that set is the Grundy number of the current state.
Hi JediMaster2015, I made a few tutorials on Grundy Numbers and the Sprague Grundy Theorem. Here is the playlist: https://www.youtube.com/playlist?list=PLMCXHnjXnTnuolrTKzZkTMGmQNEP3NaBa
great videos