Julia Bowman (1919-1985) was a prestigious mathematician from the United States. She was the first female member of the Mathematics Division of the United States National Academy of Sciences, and the first female president of the American Mathematical Society.

She dedicated part of her scientific work to game theory, which is a branch of mathematics with applications in very different disciplines (sociology, psychology, economics, business management, military strategy, biology, artificial intelligence, etc.) that analyses the interactions between individuals who make decisions. In fact, Julia managed to prove a convergence theorem that is considered the most important one in Elementary Game Theory.

The following puzzle is proposed:  The eight queens.

In a chess board, the queen is able move any number of squares either horizontally, vertically or diagonally.

You must place eight queens on the board so that none of them can attack another.

It might be useful to start solving this puzzle by placing four queens in a 4x4 board, so that there are not two queens in the same row, and then add more rows. Practice to find a winning strategy. Is there only one possible solution?