Let’s visualize this with a concrete election involving four candidates: .
Complexity: ( O(n^3) ) total.
The Tideman algorithm is a masterpiece of social choice theory: it respects the will of the majority (Condorcet criterion), breaks cycles using a transparent landslide-first principle, and satisfies a host of desirable mathematical properties. It's used in real-world elections (e.g., some Linux kernel decisions, various private organizations) and forms the basis of modern voting system research. tideman algorithm