Simultaneous moving

[philqw78]

Each player would roll each turn, adding the PBI modifier for their C-in-C (which gives more value to those ICs).

They need more value?

If you wanted to do this IMO it would be better to add the total Initiative value of the generals. So an IC +2 and +1 for each FC.

[Polkovnik]

Why would you add any modifier for generals ? Moving first would not necessarily be an advantage. You could allow an IC to choose whether to take a +1 or -1 modifier each turn.
You could also give a +1 modifier to the side which won the initiative the previous turn, to reduce the number of turn flip-flops.

[philqw78]

Why would you add any modifier for generals ? Moving first would not necessarily be an advantage. You could allow an IC to choose whether to take a +1 or -1 modifier each turn.
You could also give a +1 modifier to the side which won the initiative the previous turn, to reduce the number of turn flip-flops.

Because the original suggestion said the winner decides to go first or second.