Tideman Algorithm

My attempt at clarifying how cycles work for the Tideman algorithm

The algorithm builds a of victories, sorted by strength (margin of victory). It adds edges one by one from strongest to weakest. If adding an edge would create a cycle (A→B→C→A), that edge is skipped . The final graph yields a single source node: the winner. tideman algorithm

Let’s visualize this with a concrete election involving four candidates: . My attempt at clarifying how cycles work for

Imagine a tournament. Candidate A beats B by 52% to 48% (a narrow win). Candidate C beats A by 80% to 20% (a landslide). Tideman argues that the landslide should have more weight in determining the winner than the squeaker. tideman algorithm

If margin = 0, it's a tie — no victory. Ignore.