Infinitesimals Optimal Play

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    Keywords: EndGame

This page describes the optimal play when the only infinitesimals around are numbers, *, ^, v, and Tinies and Minies. This page may not apply if there are kos or future kos on the board. These kinds of endgames are common.

[Diagram]

Miny-3

Attacks on minies and tinies should be played first, largest threat first.

[Diagram]

2.5 point gote

It is better to threaten an n point gote than to play on an n point gote.

[Diagram]

{Miny-1|0}

Next, attack longer corridors ending in minies, starting with corridors ending in smallest miny.

[Diagram]

{Miny-1|0||0}

Longer corridors are attacked after shorter corridors if minies at the end are equal.

[Diagram]

{Miny-2|0}

[Diagram]

{Miny-2|0||0}

[Diagram]

vvv

Attacks on corridors ending in STARs (simple 1 point gote by miai value) are all worth the same.

[Diagram]

*

Stars are next. Even number of stars add to zero and should be ignored.

[Diagram]

{0||0|Tiny-1}

Next, block corridors ending in tinies or STARs.

[Diagram]

1/8

Next are numbers. Start on numbers with largest denominator.

[Diagram]

-1/4


Most of these results are proved on other pages.


See also:


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This is a copy of the living page "Infinitesimals Optimal Play" at Sensei's Library.
(OC) 2005 the Authors, published under the OpenContent License V1.0.
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