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Network of Thrones - Game of Thrones analyzed with social-networking software

lpetrich

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Network of Thrones
and some others:
Game of Nodes: A Social Network Analysis of Game of Thrones | gameofnodes
A song of nodes and edges – Network analysis in Game of Thrones – Data Skunkworks
Network analysis of Game of Thrones family ties
Another Game of Thrones network analysis - this time with tidygraph and ggraph
[1707.05213] Balance of thrones: a network study on "Game of Thrones" that unveils predictable popularity of the story

Andrew Beveridge and Jie Shan, authors analyzed "A Storm of Swords", the third book in the series, because "the main narrative has matured, with the
characters scattered geographically and enmeshed in " counting a connection between characters if their names or nicknames are within 15 words of each other. A connection does not mean that the characters are friends, only that they interact with each other. With their count of connections, they then looked for which characters interact the most with other characters, and what cliques of characters there are.

They found seven main cliques: "Lannisters and King’s Landing, Robb’s army, Bran and friends, Arya and companions, Jon Snow and the far North, Stannis’s forces, and Daerenys and the exotic people of Essos." They used a measure of cliquishness that is essentially the departure from randomness of the connections, where the randomness is estimated from how many connections each individual has. The authors used Louvain's method of finding cliques, a fast method for finding the division into cliques that maximizes the total cliquishness.

The King's Landing clique had 37% of the network, and it in turn could be divided into four subcliques.

Then the authors used various measures of centrality. A simple one is "degree", how many characters are connected to each one. The most connected character is Tyrion of King's Landing. Then "weighted degree", weighting by how many connections between pairs of characters. Tyrion won there also, and the others do not get much change.

The next measures take into account more indirect connections, by weighting more connected characters more. The "eigenvector" approach gives every character an importance that is the weighted sum of the importance of each character that this character is connected to. It gives a boost to Robert and Stannis, because their relatively few connections are to prominent characters. Bran, Jon, and Daenerys score lower because they are more isolated from the main action. Then Google's PageRank algorithm, which spreads each character's importance among its connected ones. PageRank gives a big bump to Daenerys.

The next one is closeness, how near each character is to other characters. Every character has about the same distance from the others, except for more distance Daenerys. Then betweenness, how likely a character is to be in a path that connects other characters. Tyrion is beaten by Jon and Robert here. Daenerys is next, behind those three.
There is no single “right” centrality measure for a network. Each measure gives complementary information, and taking them in concert can be quite revealing. In our network, three characters stand out consistently: Tyrion, Jon, and Sansa. 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.

Meanwhile, Robert 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.
 
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