Some questions along these lines are not so easy. For example, iterated versions that take bankruptcy into account (game over) by using geometric mean instead o

Some questions along these lines are not so easy. For example, iterated versions that take bankruptcy into account (game over) by using geometric mean instead of arithmetic mean; but that might not always be the optimal strategy [https://www.pnas.org/doi/10.1073/pnas.68.10.2493 https://www.pnas.org/doi/10.1073/pnas.68.10.2493].