The occasion of Gordon Brown's first meeting with Barack Obama since the latter's inauguration makes you wonder about the nature of the so called "special relationship" between the two countries and how it will fare in the hands of the two leaders.

First of all it should be noted that they do share several ersonality characteristics in common. Both are highly analytical, long-term, strategic thinkers. In addition, they are both values driven and have a good understanding of what they believe in and stand for.

They also share some shortcomings. Their strengths in analysis make it difficult for them to make spontaneous decisions and as a result this can be an area where they can get unstuck. There is also a tendency for both men to become somewhat aloof under pressure.

But there are also considerable differences. Brown, for example, is confident, has a great ability to focus and as a result is able to get things done. His belief in his own abilities though can make him appear arrogant and at times perhaps even rather strident. He is naturally mistrustful and rather suspicious of others but also has a need for control. Empathy is not something that comes easily to him.

Obama on the other hand works to understand others and to persuade them. He is able to see others' perspective and generally has a far more open style. Interestingly there is anxiety here too, in particular a fear of failure and under pressure he can become judgemental and withdrawn. Obama's openness to feedback, argument and ideas to others' styles of working certainly makes him a more complete leader.

How will they work together? Well, they don't seem to be an ideal working combination. On the other hand how closely do they really have to work with each other? The first meeting of the two as leaders will be mannered and studied. Brown will want to be seen as a peer and not as a lapdog. This natural suspiciousness will probably get in the way of establishing strong bonds. The relationship, as far as we can tell, will be one of wariness and personal distance.

The context of the meeting is also important. Brown is beleaguered, behind in the polls and with his government's competence being questioned. Obama on the other hand is charismatic, popular and seen as a welcome breath of fresh air.

Their personality styles then do not auger well for the special relationship. If it is to flourish Obama must make Brown feel like an equal in private as well as in public. He will need to follow through on commitments and see their relationship as mutually beneficial.

The area which provides hope is their values. The way they view the world appears to be very similar. If they can agree on what they jointly want to achieve, which is certainly possible, then their personality differences will not present such a great issue.