Boundaries of Life and Death

Death Match 2

Boundaries of Life and Death

Keep the spirit alive... or call your opponent's bluff.

This is the Death Match between AppleYum and ShineBunny.

This is largely lifted from the previous Genius Game. Your goal is to keep the Spirit Sum within the Life Window, or otherwise call that your opponent isn't doing so.

Back at the beginning of the game, each of you has submitted either +0, +1, or +2. They will play a role here, so go look back at your submissions.

The following seven members will form the Spirit Sum for this game: AppleYum, GeneralCobra19, jacoblance, KiwiYum, relay400, SFGiantsFan, ShineBunny. Wait, what? Yes, KiwiYum was eliminated; yes, KiwiYum will still take part anyway. Start hunting for info.

Either way, the seven of you have submitted a number each. They have been added up to form the Spirit Sum, which lies between +0 and +14. The Spirit Sum is hidden from both players.

The Life Window is a closed interval. At the beginning of the game, it starts at $[+0, +14]$. Over time, it will shrink further and further down. The goal is to keep the Spirit Sum within this Life Window, even though you don't know what the Spirit Sum is. Which is why you should hunt for info.

ShineBunny will choose the starting player, and then players take turns. During each turn, a player may either shrink the Life Window, or challenge the opponent.

To shrink the Life Window, the player chooses one of the endpoints, and moves it by any integral amount to shrink the interval. For example, from [+5, +9], a player may choose the left endpoint and shrink it by two, to [+7, +9]; a player may choose the right endpoint and shrink it by one, to [+5, +8]; but a player may not do both at the same time. The interval may not end up empty; the smallest it can be is a single point.

After shrinking the Life Window, the player may ask to reveal one of the players' submissions. Among the seven members making up your Spirit Sum, the current player may choose any one of them, and their number will be revealed publicly, to both players, at the end of the turn. This is optional; a player may refuse to reveal any, if they so desire.

Instead of shrinking the Window, a player may also challenge, which will end the game. The Spirit Sum will be revealed. If it's within the Life Window, then the opponent (the challengee) wins, for managing to keep the Sum within the Window. If it's not inside the Life Window, then the challenger wins, for calling the opponent's bluff. Note that it doesn't matter when precisely the Sum goes out of the Window; only the final state matters.

You have 24 hours to strategize before the game starts. Afterwards, you have 24 hours to make each turn (counting from either the opponent's last move if there's no reveal, or from my post if there's a reveal), plus 48 hours of reserve time that will be used automatically when you exceed your standard time.

⚔ Death Match 3: Boundaries of Life and Death ⚔

Make sure to stay alive… or claim that your opponent is dead.

In this game, you're trying to contain the Spirit Sum within the Life Window. If you're caught by your opponent that the Sum is not in the Window, you lose.

Before the game, every player not participating in this DM must submit either +0, +1, +2, or +3. All the submissions will be added up to become the Spirit Sum, which is unknown from either DM participant. Both DM participants are allowed to talk to all the other players during this time. Oracle Orbs may not be used to ask about a player's submission, or about the Spirit Sum.

Communication will be disabled once the DM starts. At the beginning of the game, the Life Window spans every number from +0 to +27 (inclusive). Progressing through the game, the Life Window will shrink further and further.

The DM opponent may choose the starting player, then the players will take turns. Every turn, a player must shrink the Life Window, and may choose one player to privately know the player's submission.

To shrink the Life Window, you choose one endpoint of the Window, and move it closer to the other endpoint by a positive integer amount. For example, if the Window spans from +2 to +12, you may shrink it by moving the +12 closer to the +2, for example to +9; this makes the Window to span from +2 to +9. Or you may move the other endpoint instead, moving +2 to, say, +4, to make the Window to span from +4 to +12. But you may not move both endpoints at once, and you may not move the endpoints away.

Instead of making a move, you may challenge if you believe the Spirit Sum no longer falls in the Life Window. (If the Window shrinks down to a single point, you must challenge.) If the Spirit Sum is not in the Life Window, the challenger wins; otherwise, the challenger loses.

As usual, each player is limited to 3 minutes per turn to make a move, and has a total of 15 minutes to be used across all their turns. This should be ample time, but if both players agree they may increase it.

Death Match 1: Boundaries of Life and Death

In Boundaries of Life and Death, DM participants will shrink a window, hoping to keep a secret sum to stay inside this window to guarantee their life in the game.

This game previously appeared in Genius Game 2, an ORG hosted by me (chaotic_iak).

The other players will take part in this DM. Each other player secretly submits a number between -1, 0, and +1. Their submission is locked at the start of the DM. If a player does not submit, their number will be 0, although nobody else knows of the missed submission. Note that the DM participants do not submit a number.

DM participants are free to talk with the other players before the DM begins; it is intended that they can learn some of the submitted numbers.

The sum of all submitted numbers becomes the secret sum. Note that as there are 14 other players, the secret sum will be between -14 and +14 (inclusive).

The life window is an interval. At the start of the game, it is [-14, +14], covering all numbers from -14 to +14 (inclusive).

The DM Opponent (Tim) chooses the starting player, then players alternate.

On your turn, you have two choices:

• Shrink the life window
• Challenge the opponent

To shrink the life window, choose one endpoint and move it closer to the other. The resulting endpoint must still be an integer. For example, from [-14, +14], you may shrink it to [-13, +14] (moving the left endpoint closer by 1), or to [-14, -6] (moving the right endpoint by 20). But you are not allowed to shrink to [-12.5, +14] (endpoint is not an integer), or to [-13, +13] (moved both endpoints at once).

You may not move an endpoint across the other endpoint. However, it is allowed to shrink the life window so that it only contains one number (i.e. left and right endpoints are the same). If you do so, the opponent is forced to challenge, as they cannot shrink the life window any more.

After shrinking the life window, you are allowed to learn the number of any one player privately. State the name of the player in public. You will then receive what number they submitted in private.

To challenge the opponent, simply state so. You are challenging that the life window does not contain the secret sum. The secret sum is revealed (the individual numbers aren't).

• If the life window indeed does not contain the secret sum, then the last player that shrunk the life window dies, i.e. is eliminated from the game.
• If the life window actually does contain the secret sum, then the last player that shrunk the life window stays alive. The challenger is eliminated from the game.

Timing

You have 1 minute for each of your turns, plus 5 minutes of time bank. If you run out of time for your turn, you will begin using your time bank. Your 1-minute is replenished every turn, but time used up from your time bank is gone for the rest of this DM. If your time bank runs out, you immediately lose the game.

Your turn consists of both the shrinking and the learning. You need to submit both the new life window and the player you wish to learn to complete your turn. The time used for the host to give you the player number will not be counted against your time.

Submissions

All submissions are done in public, in the game room. We will take the first submission you post, unless you quickly correct it (e.g. to fix a typo).

Information

All information in this game is public, except for the player numbers (and hence the secret sum), which are not known to anyone. You can learn a player number every time you shrink the life window. The secret sum is revealed at the end of the game.