Expression Auction

F7: Expression Auction

⚠️ This is a limited communication game. Players may only communicate in pair chats.

🔖 -- Summary -- 🔖

• During pregame, select a prime number to be your secret tile. Players will also receive 10 chips to bid on tiles.
• Each round, a number of tiles will be put up for auction. The player with the highest bid will win that tile and pay the number of chips they bid.
• To gain more chips, win a number of tiles equal to the round number, or make valid equations
• An equation is a mathematical expression that uses only the tiles you have won and a secret tile. For an equation to be valid it needs to be equal to a power of 10.
• There are 3 ToLs which are given to the player with most equations made, most chips earned, most secret tiles guessed and a 4th ToL given out by the winners.
• The players with the least equations made, least chips and least secret tiles guessed are all eligible for EC. The winners choose the EC out of eligible players.

📖 -- Rules -- 📖

⌛ This game consists of a 24h pregame, 6 rounds, each lasting 24h, an a 24h endgame.

✏️ During pregame, each player has to select prime number between 10 and 100. The players will be given a secret tile with the selected number. This number will remain secret until the end of the game.

Players wll receive 10 chips at the start of the game. Chip counts are private. Chips cannot be traded.

A garnet can be traded in for 3 chips at any time except the first round.

Auctions

Each round a number of tiles wil be put up for auction. There will always be 5 operation tiles, which are +, -, *, / and ^ (exponentiation). There will also be some number of number tiles. A number tile will have some positive integer on it. The number of tiles up for auction can vary from round to round. There will never be 2 identical tiles up for auction in the same round, but the can repeat between rounds.

✏️ During around, players can bid any number of chips on any number of tiles that are up for auction.

The player with the largest bid wins a number tile and pays the amount of chips bid. It is revealed who wins which tile, but not how any chips the winner paid.

🔢 In case of a tie, the player with higher priority wins.

Chips

There ar 2 ways to gain chips.

The first way is to win the correct number of tiles. If a player wins a number of tiles equal to the round number, they receive 10 chips. If they are 1 off, they receive 5 chips. If they are 2 off, they receive 2 chips.

⚠️ If a player wins 0 tiles, they receive 3 chips, overriding the rule above.

✏️ The other way to gain chips is to make valid equations. Making a valid expreion in round X will give you (30 - 5 * X) chips.

🔍 For example, Craw won 3 different tiles in round 4 and made 2 different expressions. This mens that he will receive 5 chips for being 1 off and 2 * (30 - 5 * 4) = 20 chips for makin equations.

You can only get up to 30 chips per round from equation building.

Equations

An equation is a mathematical expression that consists of only the tiles you own already and involving a secret tile. Players may use parentheses freely, PEMDAS applies. Parentheses may not be used to replace multiplication.

⚠️ For an equation to b valid, it needs to equal apower of 10 (which are …0.1, 1, 10, 100…).

In addition to that, an expression needs to be unique. If an equation uses the same set of numbers and symbols (excluding parentheses) and equals the same power of 10 as a previously made equation, it is not valid.

🔍 For example, 1x1 is different from 1, but 6+4 is the same as 4+6

It is revealed publicly when a player makes a valid equation, but nothing else.

🔍 Here is an example of a valid equation, assuming your secret number is 37, denoted as S:

3 * (S + 3) - 20 = 100

For other players it will be revealed that a player has made a valid equation.

Endgame

✏️ After 6 rounds of autions are done, players will have 24 hours to make as many expressions invlving their own secret tile as they can. These expressions will not give ot chips, but also will not reveal any information about their secret tile.

✏️ During edgame, each player should also submit guesses to what each other players’ secret tiles are.

The endgame can be cut short if all players agree.

Game end

After the endgame, secret tiles, player guesses, all chip couns and valid equation counts will be revealed.

There are 3 ToLs handed out: one to the player with the most correct guesses, one to the player with the most chips and one to the player with the most valid equations.

*️⃣ In case of a tie, the player with higher priority wins. If a player receives multiple ToLs, they give out extra before the next step.

The 3 winners will then select the 4th player to receive a ToL by a majority vote.

*️⃣ In case of a tie, the single vote of a player who made the most equations decides.

Out of the players that don’t have a ToL, the player with the least correct guesses, the least chips and the least valid expresions are all eligible for EC. The winners will decide the EC.

Players will receive 1 garnet for every valid equation made.

This MM will not give out more than 25 garnets.