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Jordan comments on Swords and Armor: A Game Theory Thought Experiment - Less Wrong
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Thanks for the mini mind blow with the non-transitive dice link.
Can you elaborate on what cycle analysis is?
Cycle analysis is basically drawing out a graph (nodes and edges) of what beats what. For standard Rock-paper-scissors you get a graph that looks like this:
ROCK -------> SCISSORS -------> PAPER
^-----------------------------------------------|
In systems that aren't balanced like the sword and armor problem here you can use it to decide what choice to make by giving each node a probability value based on how many people in game use that and then the best choice would be the node with the greatest (sum of probabilities on outgoing nodes) - (sum of probabilities on incoming nodes).