techno - re "I agree with your game theory assessment. Problem is, that the statistics change based upon the number of people who "play"."
Statistics don't change. What changes is the risk/reward profile of one's choice to vaccinate.
"If everyone vaccinated, then you are safe... If no one vaccinated, you are at risk and so need to vaccinate. It is a bit of a paradox really."
That is not a problem, nor is it a paradox. That is an elementary rule of the Game, which is of course factored into the analysis.
Here is a game theory analysis of vaccination choices. It is not an easy read, but the conclusion is plain enough:For any perceived relative risk r > 0, the expected vaccine uptake is less than the eradication threshold, i.e., P < p crit (Fig. 1). This finding formalizes an argument that has previously been made qualitatively (8, 14); namely, it is impossible to eradicate a disease through voluntary vaccination when individuals act according to their own interests. In situations where vaccination is perceived to be more risky than contracting the disease (r > 1), one would expect, even without the aid of a model, that no parents would vaccinate their children.*
"I take the risk with my DC, because it is better overall for society that I do. I am not selfish."
There is no definition of "selfish" that would apply to protecting one's baby and doing what is in her best interest. I am bolding this because it is an important point that often gets lost in vaccination debates. It is normal for parents to do what is in their baby's best interest, and it is normal for that to be more important for a parent than common good. You have no problem doing what is for the good of society because you perceive risk for your child to be zero. (Possibly because you think Risk = Probability and/or are not familiar with the severity of possible outcomes)
The problem in vaccination debates is that parents and the state have different goals that are in conflict, at least in part - parents want to do what is best for their child and state considers additional parameters like limiting spread of disease and financial considerations like NHS expenses and man hours lost when parents stay at home to look after a sick child for two weeks. For the parent, a permanently vaccine-damaged child is an unacceptably horrible outcome, the Risk of which can be considerable even where its Probability is very low. For the state, the cost of a handful of vaccine-damaged children can be acceptable or even insignificant when compared to the cost on NHS & the economy of unchecked spread of these diseases.
"High risk groups are defined to doctors. If your DC is in a high risk group, you will know."
Defined how? There is no such definition and nobody knows which child is high-risk until they react. Or if one of their siblings gets vaccine-damaged. Many people on here with vaccine damage in the family have been searching high and low for such a definition, to see if other children can be vaccinated. Their doctors cannot give them clear answers, because the necessary research is just not done yet.
For example, it looks like children with mitochondrial disorders are high-risk for vaccines. If true, and if one day a DNA test for this condition is done before children are offered vaccines, then you can say doctors know who is high-risk and berate people who don't vaccinate their children outside this group as unscientific on a similar level to homeopathy fans.