# Commits

committed 7704d89

formulae now parse

# docs/dan.tex

 \section{set-up}

 Each worker, $w$ indexed by $j$, has two fixed parameters: a knowledge value, $b^j$; and a culture vector $c^j$.
+
+TODO: remove time subscript when it's not needed for visual clarity.
+
 $c^j$ is binary, sparse, length, say, around 8. $b_j$ is chosen uniformly from the interval [0,1], and the elements of $c^k$ are chosen by fair coin-toss from ${0,1}$.

 There is a fixed finite market whose per-turn returns are fixed at unity.

 where $P_i$ is the probability that a buyer chooses firm $i$. I don't do this at the moment since I haven't had time to go fishing for plausible values of $\beta$.

-Workers are assigned, each turn, public "canonical" performance measure $p_i^j$, based on a share of their
+Workers are assigned, each turn, public canonical'' performance measure $p_i^j$, based on a share of their
 firm's distribution, attributed pro-rata according to $b^j$.

-$$p_i^k = \frac{b_i^j}{\sum_{j \in W_{f(j)}} b_i^j}$$ .
+$$p_i^k = \frac{b_i^j}{\sum_{j \in W_{f(j)}} b_i^j}$$ .

 To explain firm performance, we need to inspect the culture vector.


 for a matching'' reward function $d$ such as

-$$d(x) := 2 |x - 0.5|$$
+$$d(x) := 2 |x - 1/2|$$

 Also fun might be: