Week 9 Problem Session: Multi-way equity workshop

Running the multi-opponent simulator on a hand nobody has seen, and auditing which other course results would need re-deriving with 3 players

19 April 2027

Before the session#

Read the lecture page. Bring the 50.4% / 30.7% / 21.8% simulated numbers — the session runs the same simulator on a different starting hand to see if the same-direction gap shows up again.

In the session#

The group runs the multi-opponent Monte Carlo simulator on a hand other than pocket 2s, computing the naive independence estimate by hand first, then comparing it to the simulated result — checking whether the gap is still positive (simulation above naive) and still grows from 2 to 3 opponents.

Second half: an audit exercise. For each named result from weeks 3–8 (pot odds, implied odds, Bayesian updating, optimal bluff frequency, MDF, exploitability), the group decides together whether it silently assumed one opponent, and if so, names the specific step that would need to change with a second player at the table — rather than assuming everything just scales.

Afterwards#

Nothing is marked this week. Going into week 10: comfort with the idea that a formula’s shape can survive more players while its inputs (especially “equity”) quietly get harder to compute.