Helene’s box was filled and surrounded from the stalls by the most distinguished and intellectual men, who seemed to vie with one another in their wish to let everyone see that they knew her.
Faster and faster, vying with one another, they moved at the double or at a trot, vanishing amid the clouds of dust they raised and making the air ring with a deafening roar of mingling shouts.
There were a great many ladies and some of Nicholas’ Moscow acquaintances, but there were no men who could at all vie with the cavalier of St. George, the hussar remount officer, the good-natured and well-bred Count Rostov.
There are no more uses of "vie" in the book.
Show samples from other sources
But not all shall vie for this great honor.
Sabaa Tahir -- An Ember in the Ashes
Five fortysomething women, all in capri pants, like they were rehearsing a dance show: two of them—slender and blond and tanned—vying for the lead, the others cheerfully resigned to second string.