most of the time the scientists investigated equilibrium strategies, the so-called nash-equilibria, due to an expectation that actors will be rational and selfish in order to maximize their payoff.

How would the previous sentence be correctly capitalized?
Answer: Most of the time the scientists investigated equilibrium strategies, the so-called Nash-equilibria, due to an expectation that actors will be rational and selfish in order to maximize their payoff.
a manufacturer of led-wall-washer ip65 led wall washer light,lww1 at guangdong china.

How would the previous sentence be correctly capitalized?
Answer: A manufacturer of led-wall-washer ip65 led wall washer light,lww1 at GuangDong China.
they had eleven children of whom seven reached adulthood.

How would the previous sentence be correctly capitalized?
Answer: They had eleven children of whom seven reached adulthood.
the storyteller is a master of analogy, description, composition, imagery and rhetoric. then there are the arts of gesture, speeds, timing and humour - arts that can soften, disarm, charm, still, uplift and liberate.

How would the previous sentence be correctly capitalized?
Answer: The storyteller is a master of analogy, description, composition, imagery and rhetoric. Then there are the arts of gesture, speeds, timing and humour - arts that can soften, disarm, charm, still, uplift and liberate.