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Timeline for 5 people each have 5 equal cards

Current License: CC BY-SA 3.0

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Mar 19, 2020 at 21:35 comment added Brilliand @deepthought A game of chicken in which the player who withdraws is no worse off than if he stuck it out to the end... I don't think either of you is withdrawing.
Nov 1, 2018 at 4:56 comment added deep thought Late objection: "Each player now knows that they cannot win by playing an Ace" ... no they don't know that. You are not committed. [Yes OP marked this answer as accepted, but that's not how the question reads.] For example, I could do the same and we are now playing chicken for 50 seconds or so :-)
Jun 22, 2018 at 17:58 comment added user3294068 I think you have altered the game for the other players such that there is no Nash equilibrium strategy that has any chance of winning. I think that rules out a rational response from your friends.
Jun 22, 2018 at 17:55 comment added user3294068 I don't know about your friends, but with my friends, this strategy would have a precisely zero chance of winning.
Feb 9, 2017 at 12:04 vote accept Mike.C.Ford
Nov 3, 2016 at 18:48 comment added kaine For fun, I plugged this into my calculations. This is definitely the best strategy. In my method everyone does what is best for them so they only do the correct thing and go with an A 3.4% of the time... You win 87% of the time.
Nov 3, 2016 at 16:32 comment added Dr Xorile The same strategy could be done with a 2. Everyone else might think that they have a chance of winning with an A and so all pile on to that.
Nov 3, 2016 at 11:37 comment added Taemyr Once you reveal your 2,3,4 and 5 and anounce you are playing an ace I reveal 4 and 5, shuffle the remainding ace, 2 and 3 and anounce that I will play one of ace,2 and 3 with equal probability.
Nov 3, 2016 at 6:29 comment added Lunin I was going to answer something very similar to this; assuming nobody is willing to lose on purpose of course (real people can be so spiteful :P) While an Ace is the obvious no-lose strategy choosing something like 2 or 3 could also be useful if you want to play with the prisoners dilemma more by leaving a potential win that everyone can see (and thus tie on) lessening the chance that someone decides to tie you out of spite.
Nov 2, 2016 at 21:31 history answered Sconibulus CC BY-SA 3.0