However, if you cooperate with probability p+0.001, then both people are trying to be a little more cooperative than the other. You’ll cooperate 100% of the time with others following the same strategy, while sacrificing very little in other situations.
Really haven’t thought much about this, but my brain wants to say that this strategy must clearly be exploitable somehow.
I won’t try and argue that this strategy in particular is ideal. (FYI, this is the strategy called “nicerbot”.) However, the general pattern I’m using it to point at, where you give just a little benefit of the doubt, is only slightly exploitable as a rule. This will often be worth it due to a number of cases where the strategy helps force good equilibria.
Really haven’t thought much about this, but my brain wants to say that this strategy must clearly be exploitable somehow.
I won’t try and argue that this strategy in particular is ideal. (FYI, this is the strategy called “nicerbot”.) However, the general pattern I’m using it to point at, where you give just a little benefit of the doubt, is only slightly exploitable as a rule. This will often be worth it due to a number of cases where the strategy helps force good equilibria.