Question: The same two students still have the same symbiotic relationship with the chance they can continue the relationship, but now they have a better relationship

The same two students still have the same symbiotic relationship with the chance they can continue the relationship, but now they have a better relationship and can forgive. The payoffs remain the same. Receiving good notes has a utility of 8; receiving poor notes has a utility of 1. Preparing good notes costs 3 utility points; preparing poor notes does not cost any utility points.

Player 1 Player 2 Good Notes Poor Notes
Good Notes a,b c,d
Poor Notes e,f g,k

Assuming that either player providing poor notes, will result in both providing poor notes on the next test, but after that they would go back to providing good note, what would be the required discount factor to ensure the students continue to help each other?

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