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OK, but it is not enough to say there is an analogy, you have to spell out what the analogy is. What is the historical Jesus' relevance (just from historical considerations)?
Jesus is "sandwiched" between two apparently historical (or at least datable) figures, John the Baptist and Paul of Tarsus, all three of whose lives would have overlapped. Jesus and his survivng disciples are the "bridge" between the two directly attested figures.
Those two are not just people mentioned in Jesus' story, like Herod Antipas or Pontius Pilate. There is behavioral influence on the later figure, suspicious of unacknowledged contamination by the ideas and behavior of the earlier one. Paul reluctantly performs baptism and preaches a theory of religious redemption by the Jewish God based on personal change of consciousness and without Temple involvement. Paul mentions only Jesus and his "merry men," not Dunker John, as antecedent teachers.
So, in your proposed analogy, who is Robin Hood's John the Baptist, and who is Robin Hood's Paul of Tarsus? That is, who are two relatively secure loosely contemporary historical figures, where the ideas and deeds of the earlier show up in the behavior of the later, mediated through Robin Hood stories? The historical relevance of Robin (and his merry men) would then clearly parallel the historical relevance of Jesus (and his), that is, linking two real-life change-agents.
The thread has moved well along since you asked me for an explanation of a Robin Hood/ Jesus analogy from an historical viewpoint.
RL, coupled very thin pickings have delayed my answer. As I Googled industriously on the subject I couldn't help seeing you've taken the analogy into a most intriguing terrain, seeking a comparison of the two characters of Jesus and Robin Hood via the relation DJ-Jesus- PoT.
So, in your proposed analogy, who is Robin Hood's John the Baptist, and who is Robin Hood's Paul of Tarsus?
Who is Robin Hood's John the Baptist?
Well, John the Baptist initiates Jesus into the path of an Apocalyptic preacher, AFAIK, just as being declared an outlaw initiates Robin Hood into his legendary career. Depending on the version of Robin Hood's story you read or listen to, who performs this initiation would be the Sheriff of Nottingham.
Who is Robin Hood's Paul of Tarsus?
A good question. If Robin Hood had existed, you might consider John I's judicial reforms, which Wiki tells us "had a lasting impact on the English common law system" as a result of Robin Hood's influence, thus making Isabelle de Angoulême's husband a type of "Paul of Tarsus". Why not?
Of course neither identification is satisfactory on
any level whatsoever, but I don't think my analogy of Jesus/Robin Hood stands or falls on the relation of two historical figures such as DJ and Paul of Tarsus to Jesus and their parallels in the mid-12th century England. It seems to me the analogy rests rather on the insinuation of these two idealised social heroes or saviours into historical contexts.
Jesus's story has been transmitted via the hagiographers whose work is enshrined in the NT literature as well as the works of the early church fathers. Robin survives by way of ballads and is immortalised as a literary figure from the 14th century onward. Both are larger-than-life characters and beloved of film makers and the tourist/pilgrim trade.
I think taking the analogy much farther than that would be useless, other than to note that as we peel off those infamous onion layers of legend in both cases we're reduced to discussing likelihoods and the plausibility of likelihoods.
I did manage to find an involuntarily amusing take on why a modern approach to the redistribution of wealth is better based on Jesus' voluntary approach to charity than Robin Hood's "Rob the rich to help the poor" here
http://www.examiner.com/article/jesus-vs-robin-hood
The summary:
"Finally, when the government assumes the role of charity, it takes away support from real charities. Both Christian and secular charities have much less overhead than the government and can be very effective because they can target their support to people who really need it. Nevertheless, when government takes and increased share of incomes for its redistribution schemes, it takes away from the resources available to these groups. If people take home less money, they have less to give to charity."
And as a footnote, even when taking into account that the BE considers Robin Hood to have been a product of the 14th century, back dated to the 12th, Jesus still scores higher in the Raglan Hero Scale than does Robin Hood.
Jesus' 19 to Robin's13, respectively speaking.
http://www.rationalskepticism.org/general-faith/lord-raglan-on-mythic-heroes-t2089.html#p37239