According to them, high emotional intelligence involves the following problems.
Most creative people don't excel in emotional intelligence. They are rather moody and tend to react explosively and nonconformly. Emotionally intelligent people are better at following processes, building relationships and cooperation.
Their high degree of sensitivity towards others can make it difficult for emotionally intelligent people to share negative feedback. Moreover, given how calm and positive they are, they often remain indifferent to criticism expressed by others.
This approach works great at lower managerial levels. At senior levels, however, people should be able to make unpopular decisions and enforce changes. A high degree of emotional intelligence can prevent them from doing so.
Empathy helps us understand others. We can modify our communication so that others feel good. However, if we are too empathetic, we tend to manipulate. We prefer emotional aspects of communication over logical arguments.
Emotionally intelligent people are not prone to impulsive behavior. When making decisions, they would rather play it safe. Too much self-control may force them to start avoiding decisions and trying to achieve perfect results that are unrealistic.
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Article source Harvard Business Review - flagship magazine of Harvard Business School