[EM] AP Chain Climbing 2.0

[Forest Simmons]

This time for sure ...

Initialize 'c' as the empty set. Then ...

While_1
some agenda element defeats every member of 'c' , let X be the most
favorable such element ...
Then
While_2
some other agenda element defeated by X defeats every member of 'c',
incorporate the most favorable such element into 'c'.
EndWhile_2
Then incorporate X into 'c'.
EndWhile_1
Finally, elect the final value of X, i.e. the member of 'c'.that defeats
all of its other members.

Note the logical structure of the procedure:

While_1
....
    While_2
     ...
     EndWhile_2
     ....
EndWhile_1
....
Thanks for your patience!

-Forest



El mié., 27 de jul. de 2022 6:18 p. m., Forest Simmons <
forest.simmons21 at gmail.com> escribió:

> There will have to be a 3.0 version ...  localized versions of these two
> sub-procedures ... to be alternated with each other to build a denser chain
> as a foundation for the final base camp supporting the final ascent to the
> summit!
>
> El mié., 27 de jul. de 2022 2:30 p. m., Forest Simmons <
> forest.simmons21 at gmail.com> escribió:
>
>> This procedure is composed of two sub-procedures ... one to construct an
>> "advanced placement" chain headed by the most favorable agenda item ... and
>> another to complete the chain by a process of chain climbing.
>>
>> First sub-procedure: initialize a chain 'c' as the empty set. Then while
>> there exists (even vacuously) some agenda item that is defeated by every
>> member of 'c', incorporate the most favorable such item into 'c'.
>>
>> Final sub-procedure: while any agenda item defeats every member of 'c',
>> incorporate the most favorable such item into 'c'.
>>
>> After executing both sub-procedures, elect the head of the finished chain.
>>
>> This method is definitely Banks efficient. I'm pretty sure that it is
>> also monotonic and (unlike ordinary chain climbing) Independent from Pareto
>> Dominated Alternatives (IPDA).
>>
>> I'll send proof sketches soon (if it continues to hold up).
>>
>> -Forest
>>
>>
>>
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