# PainStaking

Bet stake sizing in Elixir:

- Kelly Criterion
    - Currently multiple events must be mutually exclusive ("many horse")
- Arbitrage

## Examples

```
PainStaking.kelly_size(20000,[{"loser",[prob: 0.50], [us: -110]}], true)
{:error, "No suitable postive expectation edges found."}
PainStaking.kelly_size(20000,[{"winner",[prob: 0.50], [us: "+101"]}], true)
{:ok, [{"winner", 99.01}]}

PainStaking.arb_size(1000, [[us: "+100"], [eu: 2.00]])
{:error, "No arbitrage exists for these events."} # No arb
PainStaking.arb_size(1000, [[us: "+100"], [eu: 2.10]])
{:ok, [500.0, 476.19], 23.81} # Arb available, bet on each, net 23.81 regardless of outcome

PainStaking.sim_win_for(10,[{[prob: 0.80], [us: -110]}], 100)
3.0 # Or something close, depending on how the sim works out.
```