Consider the ultimatum game, where an "allocator" is given, say, $$50\mathrm{.}00$ to decide how to divide with a "recipient," who then decides whether to accept or reject the allocation, ultimately determining whether the pair receives the allocation or nothing.What is the optimal play in the ultimatum game?The optimal play in the ultimatum game is for the allocator to propose a division of the money such that the recipient receives $$\_\_\_$ and the recipient then $\_\_\_\_$ the division. $($Enter your response as a real number rounded to two decimal places.$)$When the ultimatum game experiment is carried out, both allocators and recipients act as if fairness is $\_\_\_\_$ important.