One particular strategy is the claim of "self" contradiction, when the contradiction is not between statements the opponent makes, but between some statements the opponent makes, and some statements that are deduced or inferred from what the opponent said and your own beliefs and concepts.
The fact that we are disagreeing is a strong indicator that there are contradictions between your priors and my priors and structural commitments on similar propositions, so that finding evidence of such contradictions is not really much of an indicator that you are wrong, let alone that you contradicted yourself.
Particularly when the claim of "self" contradiction comes from A critiquing B's theory without feedback or response from B, it's very easy for A to engage in a self congratulatory kabuki argument against B, then shutter his mind from further consideration of B's argument.
One particular strategy is the claim of "self" contradiction, when the contradiction is not between statements the opponent makes, but between some statements the opponent makes, and some statements that are deduced or inferred from what the opponent said and your own beliefs and concepts.
This is actually a common result of attempting to steelman your opponent's argument.
Follow-up to: Knowing About Biases Can Hurt People
See also: Fully General Counterargument (LW Wiki)
With the caveat that the arguer doesn't need to be aware that this is the case. But if (s)he is not aware of that, this seems like the other biases we are prone to. The question is: Is there a tendency or risk to accidentally form FGCAs? Do we fall easily into this mind-trap?
This post tries to (non-exhaustively) list some FGCAs as well as possible countermeasures.
The List
Here is a list of my own making:
Do you now some more? Into what clusters do these FGCAs fall?
Self-sealing Belief
Why do we use FGCAs? One reason may be when we are arguing from within a self-sealing belief:
Preventive Action
What are known ways to avoid FGCAs?
One specific method against this mind trap is being humbly gullible.
Another is to practice Steelmanning as long as you avoid the dangers of steelmanning. Especially applicable is Steelmanning Inefficiency.
More general advice can of course be found in the Twelve Virtues of Rationality. See also the concise and improved versions.