The Doctor.
http://indianajones.wikia.com/wiki/Indiana_Jones
Indy doesn't have the limited skill set that Christopher claims nor was archaeology his first major in college, Indy fought with Poncho Villa and fought WWI in the Belgian army before he as 20 years old. And in none of the four movies did Indy solve the major problem in the movie with a gun, it shoudl be noted that he was unarmed in the last half of all four of his movies.
Both characters follow the philosophy of making it up as they go along, so under any given situation they're going to win.
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