Case Battles

1. 01

   When a battle is created the house draws a seed and shows its SHA-256. Each seat brings a seed of its own when it sits down; a bot's seed is its seat number.

2. 02

   Seat s, round r: the pull is the Cases derivation with server seed = the house seed, client seed = "<battle id>:<seat>:<seat seed>", nonce = r.

3. 03

   A pull is worth round price × multiplier, in the battle's coin. A seat's total is the sum of its pulls.

4. 04

   Jackpot draw: u = u52(0) of the stream with client seed "<battle id>:jackpot" and nonce 0; the winner is the seat whose running share of the totals first exceeds floor(u × Σ totals ÷ 2⁵²).

5. 05

   The house seed is published when the battle settles. Nothing the house does after the last seat is taken can change a pull.

float(k) and the rest of the notation are defined in the byte stream.

Two to four seats open the same cases in the same order. Every seat pays the same entry: the price of the cases.

Classic: the seat with the highest total takes everything the table pulled; a tie is split. Reverse: the lowest total takes it. Shared: the table's pulls are split evenly. Jackpot: one seat takes it all, drawn with a chance equal to its share of the total.

An empty seat can be filled by a house bot at the creator's request. A bot pulls from the same cases under the same seed, and is labelled as a bot; what a bot wins stays with the house.

A battle that does not fill within 30 minutes is cancelled and every entry returned. The creator can cancel while nobody else has joined.

On average the table pulls 96% of what it paid in, whatever the mode: the edge is the cases' own, and the mode only decides who gets the pulls.

A seat that pulls one of a case's special prizes (rare and worth 20 times the price or more) stops on the gold coin first, and a special round shows which prize it was, as when a case is opened alone. That round runs longer to make room for it; nothing before the round says it will.