Geopolitical question: how can a "country" defeat a power with far greater resources than its own, whether demographic, economic or military?

In every respect, the Persian Empire at that time had no rivals, and the chances of Alexander the Great succeeding in defeating an empire that was not only larger in surface area, but also possessed almost unlimited demographic, economic and military resources compared to Alexander's Greece. So how did he win?
Geopolitical question: how can a country defeat a power with far greater resources than its own, whether demographic, economic or military?
Geopolitical question: how can a "country" defeat a power with far greater resources than its own, whether demographic, economic or military?
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