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Tyrion Lannister is A Song of Ice and Fire’s True Hero, According to Math

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Tyrion Lannister is A Song of Ice and Fire’s True Hero, According to Math

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Tyrion Lannister is A Song of Ice and Fire’s True Hero, According to Math

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Published on April 1, 2016

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Tyrion Lannister best character Game of Thrones

While science is not yet able to predict which of the many players in George R.R. Martin’s A Song of Ice and Fire will take the Iron Throne, it can pinpoint who the true hero of the epic series is. In “Network of Thrones,” a paper published in the April 2016 issue of Math Horizons, Macalester College associate mathematics professor Andrew J. Beveridge and undergrad Jie Shan doubly geek out: first by using network science to group the ASOIAF characters, and then by drawing conclusions from that research as to who is the most important. And the “winner” is… Tyrion Lannister!

“This is a fanciful application of network science,” Beveridge told Quartz. “But it’s the kind of accessible application that shows what mathematics is all about, which is finding and explaining patterns.” In short, network science shows how information flows from one point to another; in this case, Beveridge and Shan looked at which characters were most influential and most talked-about. Using the text for the third book, A Storm of Swords (because the narrative had “matured” and the characters were far-flung at this point in the story, they explained), they linked characters by how often their names appeared within 15 words of one another. That didn’t mean that the characters had to be speaking or even had to like each other; simply, that they were being brought into the narrative in some way.

Interestingly, the resulting social networks resemble the maps of Westeros, Essos, and the surrounding lands—if not an exact geographical match, it still represents how each of the main characters are working on their own machinations that link up in various ways:

A Song of Ice and Fire math hero main character Tyrion Lannister social networks

Tyrion has the densest social network, followed closely by Jon Snow and (perhaps surprisingly) Sansa Stark. The researchers explain:

Acting as the Hand of the King, Tyrion is thrust into the center of the political machinations of the capitol city. Our analysis suggests that he is the true protagonist of the book.

Meanwhile, Jon Snow is uniquely positioned in the network, with connections to highborn lords, the Night’s Watch militia, and the savage wildlings beyond the Wall. The real surprise may be the prominence of Sansa Stark, a de facto captive in King’s Landing. However, other players are aware of her value as a Stark heir and they repeatedly use her as a pawn in their plays for power. If she can develop her cunning, then she can capitalize on her network importance to dramatic effect.

Those who might be miffed to not see Daenerys Targaryen make it to the top three may be mollified by this analysis of her still-considerable influence:

Meanwhile, Robert [Baratheon] and Daenarys stand out by overperforming in certain centrality measures. They provide a clear counterpoint to one another and return our attention to the Iron Throne itself. Robert’s memory unifies the crumbling network of the recent past, while Daenarys will surely upend the current network when she returns to Westeros in pursuit of the throne.

Tyrion Lannister Daenerys Targaryen

Sounds about right.

About the Author

Natalie Zutter

Author

Natalie Zutter is a writer and pop culture critic based in Brooklyn. In addition to her work at Reactor, she writes about SFF for Lit Hub and NPR Books as well as contemporary romance and thrillers for Paste Books. Find her on Bluesky, Instagram, and Twitter.
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9 years ago

I love it when geekdoms collide. I read this article on FB somewhere and they also mentioned that Dany is uniquely poised because she’s basically the gateway for any of the other characters to interact with Essos.

It would be really neat to see a version of this for all the books and how they compare (and maybe also with the show if they could come up with a similar metric; maybe characters in the same scene or mentioned in the same scene).

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9 years ago

We’ve been knowing it was Tyrion ever since the Purple Wedding :D

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9 years ago

No matter what the math says, Tyrion is not true alpha enough to be the real hero. I think it’s Jon.

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9 years ago

If this is not a proof that Dany, Tyrion, and Jon are the three heads of the dragon, I don’t know what is.

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Athreeren
9 years ago

: It’s clearer in book 1, where the only non-Stark POV characters are Daenerys, Jon and Tyrion. The graph for A Game of Thrones would be them and Ned, with other characters around.

David_Goldfarb
9 years ago

Jon is a non-Stark POV?  He’s a bastard, but still a Stark.

(This leaves aside certain fan theories, obviously.)

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Athreeren
9 years ago

The only time Jon was called Stark is when Stannis offered to make him the legitimate son of Eddard Stark, offer he refused. He’s a Stark by blood (whatever theory you support, he still looks very much like Arya), but not by name. That’s clear from the first chapter: he points out that the Direpups match the Stark children, leaving himself out; Ghost is found apart from his siblings, as Jon is.

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9 years ago

@6: Which fan theories make him a non-Stark? I haven’t heard any such theories. Is there some theory that says he is the son of Aerys and Rhaella, or Rhaegar and Elia? And how does it explain his Stark looks? Or Ned’s actions?

@7:But Ghost is still a direwolf and part of the same pack, and this confirms Jon’s Stark identity. You just proved the opposite point instead of what you were arguing.

As for the subject ofthis article: eh. So, Bran is a fairly unimportant character, right? Much less important than Tywin or Robert, who is apparently one of the main heroes of the series? In the words of Arya Stark (apparently also a supporting character,according to this): “This is stupid.”