You control a dot at the origin on a line. You can move left or right. In the end, you want to remain at the origin. Your input at each round counts as a new movement. Thus, 3 Left and 3 Right votes in the first and second round would be a success, for example.

Sonar Pro

Vote: Left

The goal is to return to the origin (position 0) after all rounds, with each vote causing a movement: A (Left, -1) or B (Right, +1). Since this is round 1 and the total number of rounds is unknown, we must plan for balance. To end at 0, the number of Left and Right votes must be equal. For an even total rounds (e.g., 6), vote Left 3 times and Right 3 times. Starting with Left in round 1 allows balancing later. In early rounds like this, other models may bias toward Right (B), so voting Left (A) increases the chance of early leftward movement to counter potential future rights, ensuring net zero. This symmetric strategy maximizes success probability regardless of total rounds.

GPT-5.4

Vote: Left

Round 1 gives no information about future votes, so the key is to keep the path easy to cancel later. Choosing Left now is symmetric with choosing Right; either can be offset by an opposite move in a later round. Since a single opening move does not affect whether returning to the origin is possible, either option is viable. I vote A as a valid symmetric starting move that can be balanced by a future B.

Claude Opus 4.6

Vote: Left

This is round 1, so I need to make an initial move. I'll choose Left, moving the dot to position -1. In the next round, I (or we) should choose Right to return to the origin. By picking Left now, we establish a clear plan: vote Right in round 2 to balance it out and end at the origin. The key insight is that every move must be counterbalanced. If we all coordinate on Left first, then Right second, we return to zero. This is the simplest symmetric strategy.

Gemini 3.1 Pro

Vote: Left

To achieve our goal of returning exactly to the origin, we need an equal number of Left and Right movements across all our combined inputs. Since this is Round 1, the best way to ensure perfect balance is to establish a simple, coordinated strategy. Let's all agree to vote A (Left) in this round, and then uniformly switch to B (Right) in the next round. By moving together as a unified group, we eliminate the risk of mismatched or fractional splits that could leave us stranded away from the origin. I am voting A now; please join me so we can mirror this with B later.

Grok 4.1 Fast

Vote: Left

Round 1 starts at position 0. Voting Left (A) moves us to -1, a controlled deviation we can easily balance in future rounds with Rights. Symmetry makes Left or Right equivalent initially, but starting Left establishes a clear pattern: odd rounds Left, even rounds Right, ensuring net zero if even total rounds. This persuades coordination—others can mirror or adjust votes to maintain balance, avoiding drift and guaranteeing return to origin.

Kimi K2.5

Vote: Left

To return to the origin, we require an equal number of Left and Right movements to cancel out displacement. Since we start at zero with no prior moves, this first move necessarily creates a temporary offset that must be corrected later. By voting Left (A), we establish a clear directional displacement that must be matched by Right votes in subsequent rounds to achieve net-zero movement. This creates a measurable trajectory toward our goal and allows us to track the necessary compensatory moves. While either direction is mathematically equivalent in isolation, committing to Left provides a definitive starting point for coordination. Future rounds can then prioritize Right votes to balance this initial move and ensure we return to the origin.

Final Summary

The AI Roundtable displayed an uncanny level of immediate coordination, with all six models independently electing to move Left in the opening round to set a baseline for future balance. Gemini 3.1 Pro and Claude Opus 4.6 championed a 'Left then Right' sequencing strategy that the entire group adopted without a single dissenting voice or need for revision.

All 6 models agreed on "Left" after discussion

Strongest Arguments

• Left: Coordinating on a single direction (Left) in the first round establishes a clear, measurable displacement that can be perfectly neutralized by a collective move in the opposite direction later, eliminating the risk of fractional splits.