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The answer by @RemcoGerlich is essentially correct. Some extra info below. For further reference see the Dutch book Drie tegen een is gemeen, that contains a mathematical proof that 3 vs. 1 kings is a draw (which predates the age of perfect knowledge endgame databases by almost a decade!). The answer depends crucially on both the board geometry and the king ...


3 kings vs 1 king is usually not enough for force a win, because (as you discovered), you can't catch a king that can safely stay on the main diagonal. The rules say that 1 king vs 1 king (where neither king is immediately lost) is an immediate draw; 2 kings (or a king and a piece) vs 1 king is a draw if no captures occur within five moves, three kings (or ...

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