Please capitalize where necessary: 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: 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.
Q: blood that unfortunately will be infected with the hiv virus.

A: Blood that unfortunately will be infected with the HIV virus.
Q: the journal of thomas bugge's tour of germany, holland and england in 1777
A: The Journal of Thomas Bugge's Tour of Germany, Holland and England in 1777
Problem: the university choir lille muko has been selected to participate in a large international choir competition in debrecen in hungary on 5. - 8. july. as part of the preparations for the competition the choir will present the programmes at a concert in the round tower.
Can you repeat this sentence, but capitalize it?
Answer: The University Choir Lille MUKO has been selected to participate in a large international choir competition in Debrecen in Hungary on 5. - 8. July. As part of the preparations for the competition the choir will present the programmes at a concert in The Round Tower.
Text: the 5-star hotel d'inghilterra is in the heart of rome, 200 metres from the spanish steps and a few steps from via del corso shopping street.

Correct capitalization: The 5-star Hotel D'Inghilterra is in the heart of Rome, 200 metres from the Spanish Steps and a few steps from Via del Corso shopping street.
Q: vivienne malone-mayes's name before she married was vivienne malone.

A:
Vivienne Malone-Mayes's name before she married was Vivienne Malone.