Test Math Rendering
Testing LaTeX Math Rendering
From your "Players Go to Their Highest Valued LTV" post:
Inline Math
Ads for competitor games only make sense if $churned player LTV < ad revenue$ and to the advertiser if $acquired player LTV > ad cost$.
Display Math
The decision rule for portfolio pumping:
$$P(rLTV_{i} + nLTV_{i}) + P(nLTV_{i}) > rLTV_{i}$$
Where:
- $P(rLTV_{i} + nLTV_{i})$ is the probability of playing both games simultaneously
- $rLTV_{i}$ is the remaining LTV in the old game
- $nLTV_{i}$ is the LTV for the new game
From "Why do contestants break the rules" post:
Expected payouts:
- $3,000 for a kiss = $3000/10 = 300$ per contestant
- After taxes: $300 \times 0.5 = 150$
Complex Formula
$$\sum_{i=1}^{n} \frac{Revenue_i}{Players_i} = ARPU_{total}$$