If voters exhibit single-peaked preferences in an election with several candidates, which outcome is guaranteed regarding Condorcet cycles?

💡 Explanation

When voter preferences are single-peaked, the median voter theorem guarantees that a Condorcet winner always exists, because the elimination of intransitive preferences removes cyclic group structures, therefore cycles are eliminated, rather than intensified, due to the constraint.

• A software supply chain uses cryptographic hashes to verify component integrity. Which failure mode becomes likely when a weak hashing algorithm with poor collision resistance is employed?
• If a RSA cryptosystem uses a modulus `n` that is the product of two distinct large prime numbers, which advantage does Fermat's Little Theorem provide in checking primality?
• A compiler uses induction to verify that a function correctly computes factorials. Which step validates the function's correctness for a simple, fixed input?
• If a digital elevation model (DEM) representing mountainous terrain is simplified by successively removing vertices, which effect ultimately compromises accurate pathfinding?
• An iterative algorithm searches a sorted array. Which technique formally verifies that the loop maintains the array's sorted order and the search range narrows?
• If a sensor network monitors a chemical reaction in a vat, which outcome ALWAYS holds true if '[]P' (always P) is satisfied, where P represents 'temperature below threshold'?