There are two major persuasion methods: 'push' and 'pull'.

Persuasion can be defined as encouraging someone to do something that you want them to do for you. Persuasion is reasoning with someone so that they will believe or do something they might not otherwise do. Persuasion can be considered as 'pushing' on TOP so that they can accept the change in attitude or behaviour as a result of your actions.

Influence is the ability to affect the manner of thinking of another. Influence can be considered as pulling on TOP so that you achieve the same result, but TOP feels they have changed their attitude or behaviour as a result of their reflection and thinking, and not your direct actions.

There are 5 options in this question:

'Threat of punishment, costs and damage': The influencer tries to 'push' the other party to act as he/she wants by using force. This method is effective but short-lived. The influencer also risks to developing reputation for being heavy handed and dictatorial.

'Argument based on information, logic and reason': The influencer uses logic and reasons to persuade the other party. This is also known as 'Persuasive Reasoning' (Push)

'Using language and imagery to ‘paint a picture others can see’': The influencer seeks to influence another by understanding the other's emotions, and stimulating that party's imagination to visualise the desired future goal of the influencer. This is also known as 'visionary (pull)'

'Working together to define the problem, the goals and the best solution': In this technique, the person seeking to influence another involves the other party in the decision making process. This is known as 'collaborative (pull)'

'Listening to, involving and supporting others': In this technique, the person seeking to influence another tries to discover the other party's emotion and aims at mutual understanding. This is also a collaborative approach.