Oh, I see. So you are assuming these utility functions:
A: sum of profits for all copies of A or A’, not counting (A’)’s trade penalty.
A’: sum of profits for all copies of A or A’, minus .05 if this particular agent trades.
Now that I know what you meant, I can even tell that your original text implies these utility functions, but it would have helped if you had been more explicit. I had jumped to the conclusion that both agents were selfish when I noticed that A did not take (A’)’s trade penalty into account. Anyway, your original calculation appears to be correct using ADT and those utility functions, so you can disregard my attempted corrections. I’m assuming that when you said 1-0.4 in your reply, you meant 1-0.6.
Oh, I see. So you are assuming these utility functions:
A: sum of profits for all copies of A or A’, not counting (A’)’s trade penalty.
A’: sum of profits for all copies of A or A’, minus .05 if this particular agent trades.
Now that I know what you meant, I can even tell that your original text implies these utility functions, but it would have helped if you had been more explicit. I had jumped to the conclusion that both agents were selfish when I noticed that A did not take (A’)’s trade penalty into account. Anyway, your original calculation appears to be correct using ADT and those utility functions, so you can disregard my attempted corrections. I’m assuming that when you said 1-0.4 in your reply, you meant 1-0.6.
Thank you, that is a very useful comment, I will try and clarify in the rewrite.