6 ms·
Yes, but if you guess higher than 0 (in, as you say, spite) then you only hurt yourself, since everyone else ties for the win. The choice of 0 in this game is
by endtime 17y ago
Yes, but if you guess higher than 0 (in, as you say, spite) then you only hurt yourself, since everyone else ties for the win. The choice of 0 in this game is a Nash equilibrium - no rational agent will guess otherwise, at least if it assumes all other agents are also rational.
- gort 17y agoAssuming all other agents are rational is normally not rational. Even in the case where all the agents are rational, if they don't all know that, they should still guess above zero. Only if it's common knowledge that everyone will be implementing the strictly "rational" strategy is guessing zero correct.
- endtime 17y agoThis is true, but I was specifically addressing the case where a "spiteful" agent attempts to guess high and throw off the average, and just pointing out that this would actually hurt no one but the spiteful agent himself.