At the end of my previous post I mentioned some thoughts on dealing with more interesting initial states (\(q^0\)). We’ll define our initial state by choosing the amount of funds we’re willing to lose \(F\), and a set of initial prices \(0 < p_i(q^0) < 1\). Unless \(p_i(q^0) = \frac{1}{n}\) for all \(i\), we will […]
Some additional notes on implementing Hanson’s Logarithmic Market Scoring Rule, based on David Pennock’s post from 2006. Usage is to is to pick \(n\) distinct outcomes, such that exactly one will be true, and then to trade contracts that correspond with each outcome, so that if the outcome occurs the corresponding contract has a unit […]
MathJax is pretty cool — it’s essentially a client-side JavaScript implementation of LaTeX, so you can write maths in ASCII, like “x^n + y^n = z^n”, surround it with dollar signs, and have it look like: $$ x^n + y^n = z^n $$ And, of course, you can be more complicated if you like: $$ […]