Why can one male tinamou have eggs from several females in one nest?

In the tinamou order, it is the male who constructs and defends the nest, while incubation and the care of chicks are performed entirely by him.1

Because the male is responsible for these parental duties, one hypothesis suggests that females lay bright, highly glazed eggs to coerce the male into sitting on them and obscuring them from view. By successfully forcing the male to take on the burden of incubation, the female is freed to seek additional mates and lay other clutches. Consequently, more than one hen may deposit her eggs into a single male's nest, resulting in a large clutch that can number from 8 to 16 eggs.1