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Anonymous committed 7704d89

formulae now parse

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docs/dan.pdf

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 \section{set-up}
 
 Each worker, $w$ indexed by $j$, has two fixed parameters: a knowledge value, $b^j$; and a culture vector $c^j$.
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+TODO: remove time subscript when it's not needed for visual clarity.
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 $c^j$ 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: