An individual who would rather lose an argument than hurt the other person's feelings is exhibiting an escapist style called obliging.
Obliging can be defined as an escapist style in which individual accepts to lose an argument rather than hurt the feelings of his or her opponent, especially by yielding his or her position, so as to accommodate the other person (opponent).
In conclusion, obliging requires you yield your position and lose an argument, rather than hurt the other person's feelings.
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