Darwin's sexual selection theory argues that males compete for females through mechanisms like intra-sexual competition between males or inter-sexual choice by females, resulting in the development of secondary sexual characteristics in males like antlers, songs, or colorful feathers. Examples include the vocal cords in frogs, antlers in deer, songs of male birds, and the colorful feathers of peacocks. However, the theory was criticized for not fully explaining sexual dimorphism and for assuming behaviors like promiscuity that could prevent sexual selection from occurring.