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The August 2022 Alaska Special Election for US House contained manyinteresting features from the perspective of social choice theory. Thiselection used instant runoff voting (often referred to as ranked choice voting)to elect a winner, and many of the weaknesses of this voting method were ondisplay in this election. For example, the Condorcet winner is different fromthe instant runoff winner, and the election demonstrated a monotonicityparadox. The election also demonstrated a no show paradox; as far as we areaware, this election represents the first document American ranked choiceelection to demonstrate this paradox.

A Mathematical Analysis of the 2022 Alaska Special Election for US House