When distributing probability over outcomes, both arithmetic and geometric maximisation want to put as much probability as possible on the highest payoff outcome. It’s when distributing payoffs over outcomes (e.g. deciding what bets to make) that geometric maximisation wants to distribution-match them to your probabilities.
Sorry, on reflection I had that wrong.
When distributing probability over outcomes, both arithmetic and geometric maximisation want to put as much probability as possible on the highest payoff outcome. It’s when distributing payoffs over outcomes (e.g. deciding what bets to make) that geometric maximisation wants to distribution-match them to your probabilities.