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Complexity physics finds crucial tipping points in chess games
- randysalami 2y agoI play a lot of this game called Dota 2. People don’t really approach it like they do chess but I find a lot of parallels - many of these I imagine were intentionally designed into the game. Concepts such as fragility betweenness centrality introduced in this article really resonate with how the game can be played optimally. Currently I’ve been playing as a hero called Spectre which has the ability to globally teleport onto any hostile unit. This allows the “piece” to be on the shortest path any visible node. Moreover, a key move is bursting “fragile” supports obtain a man advantage to snowball fights. Not always the optimal move since Dota is a very complex game but it’s cool to see the parallels and I wish more people approached the game from a chess perspective.
- canucker2016 2y agoPDF for the related paper: https://arxiv.org/pdf/2410.02333 https://arxiv.org/pdf/2410.02333 You'll have to read about the metric used in the paper. My summary - fragility score - depends on attacked pieces that can attack/defend other pieces. "Interestingly, the maximum fragility score often highlights the most critical and notable moves in a game." Highlights: - Over 20K games analyzed (over half from Karpov, Kasparov, and Spassky, about 2% from Stockfish vs other computer chess engines) - Max fragility score in game occurred around ply 32 (move 16), std dev is 8 plies (4 moves) - Typical pieces involved (looks like normal distribution) - pawns (~60%), knights (~20%), and then bishops (~10%). queens and rooks barely show up.