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DeGroot Stubborn Opinion Limits

Average two opinions through a directed network and see when influence produces consensus, stubborn disagreement or endless swapping.

Free theory article

Average two opinions through a directed network and see when influence produces consensus, stubborn disagreement or endless swapping.

Concept & interpretation

The DeGroot model describes how opinions spread through a network as individuals average their neighbors' beliefs. Adding stubbornness creates an anchored limit.

Experiment

You can interact with the network by adjusting listening weights, stubbornness, and rounds in the interactive DeGroot model.

  1. Set First listening weight to 0.25 and Second listening weight to 1.
  2. Set Stubbornness to 0 and Rounds to 2.
  3. Observe that the First current opinion is 0.1875 and the Second current opinion is 0.25.
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