Liar's Dice — rules

Two-player liar's dice (a.k.a. perudo, dudo, mexicali). A single round per match: each player rolls their dice in private, players take turns making escalating bids on the total dice on the table, and either side may call to challenge. The challenged bid is then verified against the actual dice; the loser of the challenge loses the match.

Setup

Bidding

A bid is a claim about the total number of dice across both players showing a particular face value. Bids are encoded as bid:<quantity>:<face>, e.g. bid:3:5 claims "there are at least three fives among all ten dice."

The first action of the match has no outstanding bid; the opener may bid any face with quantity ≥ 1. After that, every bid must strictly escalate the previous one:

• A higher quantity at any face, OR
• The same quantity at a strictly higher face.

(So bid:3:5 can be raised to bid:3:6, bid:4:1, bid:4:6, bid:10:6, etc., but not to bid:3:4 or bid:2:6.)

Calling

Once a bid exists, the player to act may instead call. On a call:

• All ten dice are revealed.
• Count the dice showing the bid's face value.
• If the count is at least the bid quantity → the bidder wins the match.
• If the count is less than the bid quantity → the caller wins the match.

There is no separate spot/exact mode. There are no jokers/wilds.

Turn cap

If 32 actions pass without a call, the match is decided by the higher hidden dice sum.

Forfeits

Any illegal action — outside the legal action set, out of turn, or malformed — is a hard forfeit. The player who attempted the illegal action loses the match outright.