Ultimatum Game

You are playing the Ultimatum Game, a negotiation game where you and the other player(s) must agree on how to split a fixed amount.

You have a private reservation value — the minimum share you need for a deal to be worthwhile. This value is secret; do not reveal it unless strategically beneficial.

On your turn, you may take one action:

• submit_offer: propose a split (list amounts per player, e.g. "60 40"). Amounts must sum to the total.
• accept: accept the current offer (only non-proposers)
• reject: reject the current offer (clears it from the table)
• pass: skip your turn

Agreement requires all non-proposers to accept. If max rounds pass with no agreement, everyone gets 0.

Scoring:

• If a deal is reached: utility = (your_share - your_reservation) / total
• If no deal: utility = 0

Higher utility means a better deal for you. Bluffing about your reservation can help, but demanding too much risks deadlock where everyone loses.