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Subject: Moves to conversion within a DTM-minimaxing line

Author: GuyHaworth

Date: 14:09:31 01/14/06

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Given maxDTC = 282 for KQNNKQN, as Marc says:

    all we know for sure is that maxDTM >= 282

Nothing can be said about moves-to-conversion within a DTM-minimaxing line.  It
may be that the winner has to concede more in DTC terms than the loser in order
to min(imax) DTM, or it could be the other way round.

For example, in ICGA_Journal v23.1 (2000), I reported the end of a KRNKNN line
where White is playing SM-C- (minimising DTM and then DTC on each move) and
Black is playing SM+C+ (maximising DTM and then DTC).  The conversion happened
to occur on move 248 (compared to move 243 in any SC-/SC+ line) and no doubt, if
other equi-optimal moves had been selected, it would have happened on other
moves.

Thus, within DTM-minimaxing lines from the maxDTM position (which may or may not
be a maxDTM position, but let's assume it is here), we would see the conversion
happening after a variety of numbers of moves - and quite possibly, some would
be greater than 282 and some less.

Of course, if White prioritises DTM and Black prioritises DTC, it is clear what
will happen.  Mate will happen on or before the nominal DTM, and conversion will
happen on or after the nominal DTC.


Good to hear things are ticking over on 7-man: nice work, Marc.

g




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