Reasoning about influence in politics

Understanding a politician’s influence at first appears to be hopelessly tangled. A politicians’ influence is very tenuously related to the vote they can cast in parliament, and is mediated by a complicated process involving respect for precedent, social consensus, explicit and implicit negotiation, explicit and implicit appeals to popular opinion, and so on. Fortunately, on closer inspection many of these challenges can be ameliorated.
In the following research notes, we introduce an argument that the naive answer is about right: if there are 100 politicians with one vote each, then each politician has about 1% of the total impact of the politicians.
The result is highly useful in making estimates of the influence you might expect to have by becoming a politician, or indeed in any situation when a group of people negotiate over an outcome e.g a company board setting strategy, or a committee of grant makers allocating funding.
Note that the following are only preliminary research notes that were made while doing a case study, and not the results of in-depth analysis, so we’re cautious about the conclusion. Nevertheless, we’re keen to share the ideas and seek feedback.