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cryptoeconomics-study / book

📙Working draft of the book, Cryptoeconomics: An Introduction.
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Add examples to Chapter 2: Introduction to Game Theory #3

Open Jinglan opened 5 years ago

Jinglan commented 5 years ago

Add more bimatrix game examples for each type of game

Add iterative game examples, with step by step explanations of iterated elimination

yik8191 commented 5 years ago

I think the Mars-Earth game payoff would work with something like:

Mars does not arm itself Mars arms itself
Earth does not arm itself (3, 3 ) (-3,5)
Earth arms itself (5,-3) (0,0)

so arming is dominant strategy, even it is in their best interests to cooperate. We could have a separate payoff matrix for the war declaration and put it under chicken/hawk-dove , say:

Mars does not attack Mars attacks
Earth does not attack (0,0) (-3,3)
Earth attacks (3,-3) (-10,-10)

and the optimal strategy depends on what the other player does. Unfortunately, in the name of trying to get the best outcome for oneself, both end up risking the worst outcome (and we lead into mutually assured destruction from there?)