A Comment On My Pareto Optimality Theorem

 

One way to respect game theorists is to respect yourself while doing game theory.


I will not answer ignorant questions that would make, e.g., Eva Tardos feel offended if she were asked such an ignorant question.  My theorem can be proved and I found a proof and it’s in my notes.  You should find the proof yourself with my hint.  If you can’t, try some examples to convince yourself that it’s true, I did that also.


The most important thing for a lay person to understand is:  the meaning of a Pareto optimal strategy.  An informal and imprecise approximation of its meaning is , “somebody wins” in the game.  More precisely it means there are no Pareto improvements that are possible.  A Pareto improvement is when one person can improve without making anyone else worse off.


In the Israeli Palestinian conflict, I do not model Russia as an actor in the conflict.  That says, Russia is a nature player.  The goal is to help Israeli and Palestinian actors to develop at least one true winner/beneficiary in the conflict.


Final comment:  I don’t totally oppose AI.  Many game theorists will/would understand why I choose to say that.

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