I have an idea for a version of rock paper scissors. here's the idea: it's the normal game, only you start with 6 tokens. Two for rock, two scissor, two paper. when you throw one, you have to give up a token and reassign it to one of your other piles. What do you think would happen?
Inclination is it gets boring because nobody wants to go below 1 token. Maybe there's some way the opponent can force? E.g. if they have 3 on one pile they can kill 2 to destroy one of yours?
@ZachWeinersmith What do you want ɣ to be (the discount rate)? Here's a close-to-exact solution for ɣ = 0.9. It has some of the expected structure (it's bad to have only one kind of token), but I need to find a better visualization to show the finer details.
A game I'd play with my kids when we went out to eat: The artificial sweetener packets have three colors (blue, yellow, pink). We each get 2 or 3 of each color and decide which color beats which rock-paper-scissors style.
THEN we each put our packets in some kind of strategic order and play them against each other to see who wins the most rounds! Super easy for kids and helps burn time while waiting for your food.
Um.. one could play your game with the same packets 😄
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