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Knight Chase. Game played on with two Knights on a Chessboard with differing goals. (8x8, Cells: 64) [All Comments] [Add Comment or Rating]

Mark Thompson wrote on Sat, Jun 26, 2004 04:14 AM UTC:Good ★★★★

'The two players have different goals, so Knight Moves is probably an
unbalanced game,' said Ned. 'And Black, who plays defense, moves first:
that must mean that the offense has the natural advantage in this game.'

Ted said, 'Well, since you're a beginner, I'll let you play White, and
I'll even give you the advantage of the first move.'

'Don't be too cocky, I'm pretty good at games like this,' said Ned.
But Ted proceeded to beat him three games in a row. Catching the Black
Knight was infernally difficult, even with the advantage of the first
move.

Then, as they were about to begin the fourth game, Ned suddenly said,
'Hey -- WAIT a minute!' And Ted broke out laughing.

What had Ned realized?

Charles Gilman wrote on Sat, Jun 26, 2004 07:00 AM UTC:

He had realised WHY the two players have different objectives. Because the Knight always moves from white to black square or vv, it cannot lowe the move, and in an army of just a Knight every move must be by that Knight. Therefore ONLY the player who moves second can capture.

Calvin Daniels wrote on Sat, Apr 9, 2011 04:18 AM UTC:

So simple yet interesting. I wonder how it would work with alternate pieces? Maybe Camels instead of knights? Or maybe one player a Knight, the other a Centaur?

Daniil Frolov wrote on Sat, Apr 9, 2011 02:39 PM UTC:

Calvin Daniels, playing with camels is just like playing with knights, but on diamond board with 32 squares. But zebras (for example) will make different game.
What did you imply when you said 'centaur'? There are several pieces with such name. If you meant king+knight (probably, you didn't), centaur's player will have advantage.

Ben Reiniger wrote on Sat, Apr 9, 2011 06:50 PM UTC:

See also 'Joust', described here
http://www.chessvariants.org/programs.dir/joust.html
and with Friedlander applet here
http://play.chessvariants.org/erf/Joust.html

(In Joust, the question as to whether the knights can capture one another is interesting.  If yes, only one player has this option and thus an advantage (?); but if no, one player has an additional blocking ability that the other does not.)

Joust is interesting from a mathematical combinatorial game theory perspective, as it should be solvable with enough thought/force.  Knight Chase introduces an extra element of droppable markers and a time limit, which should make mathematical statements more difficult.

Calvin Daniels wrote on Sun, Apr 10, 2011 06:52 AM UTC:

Yes Centaur knight/King, a piece I think is under used in variants

Nick Dalton wrote on Sat, Oct 13, 2018 11:45 PM UTC:

I think a rule is missing here regarding the placement of the second marker. Gamut of Games reads, "The other can be placed in any empty space the player wishes, except that if only one space is open for the opponent's upcoming move, the space cannot be covered."

I don't see this rule above.

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