Final answer:
In a voting cycle, a series of pair-wise majority votes over more than two options leads to a cycling of winners, making it impossible to identify what the majority prefers. This concept is known as Arrow's Impossibility Theorem.
Step-by-step explanation:
The situation described in the question refers to a voting cycle, which occurs when a series of pair-wise majority votes over more than two options leads to a cycling of winners. In such a situation, it becomes impossible to identify what the majority prefers. This concept is known as Arrow's Impossibility Theorem.