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?
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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http://www.numericana.com/answer/games.htm
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