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Score: Bifurcators including Venator > Great Shatranj > Mastodon >
Three Player > Unicorn Great > Big Board > Centennial > Eurasian > Kings
Court > Wildebeest > Fantasy Grand > Black Ghost > Eight-Stone > Modern >
Templar > Courier de la Dama > Switching > Seirawan.
http://www.chessvariants.org/multiplayer.dir/three_player/three_player_chess.html
In 'ECV' (1994) back to the 19th Century and in Gilman's recent opus are
many four-player CVs. Before that conceptual leap, to be considered is
three-player model like Three Player(Zubrin). The board is hexagonal but the spaces
are 96 quadrilaterals. ''The superiority of any given player may be
counteracted to a degree by the concerted efforts of, or alliance between,
the other two players.'' Negotiating skill at a premium, the order of
movement goes White, then Red, then Black; and in the end player must beat
both others. Allies of convenience, however temporary, are forbidden
private conversation; contrariwise, understandings may be so tacit or implicit as to
remain silent. You can leave King en prise, counting on ally or other's
self-interest to perform as promised or expected, because King must be
captured for your actually being checkmated. If thus eliminated, a player's
leftover pieces remain capturable but never move again. Instead, a
variant permits takeover of forces by whoever captures a King. The
psychology involved is a natural idea whose time may eventually come.