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Unanimity on the question of UK exit from the EU is not within reach, but this does not mean that the House of Commons or the population at large can not find a way out of the current Brexit impasse that is fair and legitimate. We discuss different voting procedures which satisfy some important principles of democracy and which can select the option that can win a majority against all other alternatives in a head-to-head majority vote. We argue that strategic considerations play an importantdoi:10.1177/002795011924700103 fatcat:z6ohw5etevcgfew7uwwwdqjtcy