Defending vs 3Bets and R%s of 3Bet Bluffs

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Defending vs 3Bets and R%s of 3Bet Bluffs

I am mapping out defending ranges vs 3Bets in 6max cash. With help I have created rough estimates, but I'd like to get more precise. Does anyone have a a general idea of what % of your opening range you should defend IP and OOP vs a 3bet. Using standard sizings, the minimum defense frequency is 33%. We should probably shoot to defend higher than that % since the 3bettor will realize equity when called. It would also be a reasonable assumption that when OOP facing a 3bet, you should defend a higher % of your range as you move closer to the button because the 3bettor will have fewer players behind to help you defend. I know there are many factors to take into account and that the % will vary by situation, but any input would be helpful (particularly by someone with good understanding of game theory). 

I watched Sean Lefort's defending the blinds series and have extrapolated his R% to this situation. By estimated R% of various types of hands in the 3bettor's bluffing range, I can calculate what hands I should defend in order to make the 3bettor indifferent to 3betting the weakest hands in his bluffing range. Using an excel spreadsheet I can take 4betting, cold 4betting, and card removal into effect. The only piece of the puzzle left is the R% of the 3bettors bluffing hands. 

In an example of the 3bettor using a 5bet or fold strategy vs a 4bet: MP2 opens and the CO 3bets KK+, AKs, A9s-A8s(2), A5s-A2s. Around what R% would A3s have vs MP2's calling range of QQ-TT, AQo+, AJs+, KQs in a 3bet pot with the lead? So far I've calculated that using my current strategy, the CO profits if his 3bet bluffs realize >106% of their equity in a 3bet pot. This # seems a bit low to me considering CO has position and a polarized range. 

R% varies by hand type: K9s has a different R% than 65s, J8s, and A5s BTN vs CO in a 3bet pot. The R% of hands also changes as both player's ranges change. I know this is very rough, any guestimates would be appreciated. 

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