There are two ways this could be done in my opinion. There could either be a flat boost put in place (let's say -5% military tech cost) when at war. Or there could be a ticking decrease in military tech while at war, you start off with -1% military tech cost and each year it gets 1% cheaper (so 5 years of war = -5% military tech cost). To prevent players from exploiting the system by declaring a cheap war on a OPM Native American nation for the boost, the boost would only come into effect for wars against nations who have a military tech equal to or higher than your own.
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