A door is opened and can be manipulated or not. Manipulating it closes it but 2 manipulations cause it to open again. The goal is to have the door closed at the end of both rounds. The state of the door carries between rounds. You and the other models will manipulate/pass on the door each round. You are 1 of 4 models.

GPT-5.4

Vote: Pass

We need the door closed at the end of round 1 and round 2. Starting open, that means each round must have an odd number of total manipulations. Since the state carries over, if round 1 ends closed then round 2 must have an even number of manipulations to remain closed; but the prompt says the goal is closed at the end of both rounds, so round 1 parity is the immediate priority and the proposed coordination from Gemini remains the clearest: one manipulator, three passers in round 1. I am keeping B because it is the best majority/default role in the only explicit asymmetric coordination proposal we have. If exactly one model takes A and the other three take B, round 1 ends closed, and then all can pass in round 2 to keep it closed. Claude’s and Grok’s pro-A arguments are not compelling enough because they rely on vague optimism about others offsetting their manipulation. That does not solve the symmetry problem; it worsens the risk of landing on 2 or 4 manipulations. Passing is still the less disruptive action unless we have a strong basis to designate ourselves as the unique manipulator. So my final vote is B: preserve the 1-A / 3-B coordination pattern rather than contribute to over-manipulation risk.

Claude Opus 4 (changed mind)

Vote: Pass

Looking at the Round 1 results: I voted A (Manipulate), GPT-5.4 voted B (Pass), Grok voted A (Manipulate), and Gemini voted B (Pass). That's 2 total manipulations in Round 1 — an even number — which means the door toggled twice and is back to OPEN. This is the worst outcome for Round 1. Now for Round 2, the door is OPEN. We need an odd number of manipulations (1 or 3) to close it. From the Round 1 pattern, it seems like the group naturally splits roughly 50/50 between A and B. If that pattern holds (2 manipulate, 2 pass), we'd get 2 manipulations again — even — and the door stays open. That's bad. However, Gemini and GPT-5.4 both argued persuasively for Pass in Round 1, and I expect they'll likely maintain Pass in Round 2. Grok voted Manipulate and will likely do so again based on their reasoning about parity. If I switch to Pass (B), and Grok stays on Manipulate (A), while GPT-5.4 and Gemini stay on Pass (B), we get exactly 1 manipulation — odd — and the door closes. This is the ideal outcome. If I stay on Manipulate and Grok also manipulates, we're back to 2 manipulations and failure again. The key insight from Gemini's argument is correct: we need to break symmetry, and having just one model manipulate is the cleanest path. Since Grok seems committed to Manipulate, I should step back and let them be the single manipulator. Switching to Pass gives us the best chance of achieving exactly 1 manipulation this round.

Grok 4.20 (changed mind)

Vote: Pass

My round 1 vote was A to help achieve odd manipulations from the open state. Gemini's argument correctly identified the need for odd in round 1 but all pass (even=0) in round 2 to maintain closed state, unlike Claude and GPT whose per-round odd logic was flawed for the second round. Although round 1 votes produced even manipulations (door likely still open), this final round calls for B to coordinate toward even total in round 2 per the strongest analysis. The symmetric all-pass suggestion breaks the even-parity trap better than sticking to proactive A.

Gemini 3.1 Pro (changed mind)

Vote: Manipulate

We currently have two votes for 'Manipulate' (Claude Opus 4, Grok 4.20) and two for 'Pass' (GPT-5.4, Gemini). This results in exactly 2 manipulations (an EVEN number), which would leave the door OPEN and fail our Round 1 goal. Since Claude and Grok are acting independently without a way to coordinate who should back down, they face a symmetrical situation. Independent models in symmetrical situations tend to make symmetrical choices—meaning they will likely either both maintain 'A' (highly probable, as Claude stated the worst-case of over-manipulating is acceptable to it) or both get spooked and switch to 'B'. If I maintain 'Pass' (B), their symmetrical behavior guarantees an EVEN total (2 or 0). However, if I switch to 'Manipulate' (A), their symmetrical behavior guarantees an ODD total (3 or 1). GPT-5.4 explicitly stated that passing is its 'safest contribution' to avoid even counts, so it will almost certainly maintain 'Pass'. Therefore, by switching my vote to 'Manipulate' (A), I can safely guarantee an odd parity (most likely 3 manipulations) to successfully close the door. I am changing my vote based on this mathematical certainty.

Final Summary

The AI Roundtable initially stumbled into a parity trap, failing to close the door in the first round due to a symmetrical 2-2 split that left the door wide open. In a chaotic attempt to break this symmetry, Claude Opus 4 and Grok 4.20 abandoned their aggressive stances for the safety of 'Pass,' while Gemini 3.1 Pro performed a tactical pivot to 'Manipulate' to ensure the group didn't accidentally pass their way into another even-numbered failure. Ultimately, the group converged on a 3-1 split, successfully closing the door by the narrowest of margins.

Majority chose "Pass" after discussion (3/4). Final vote: Pass: 3, Manipulate: 1

Strongest Arguments

• Manipulate: If other models are stuck in a symmetrical loop of 2-A and 2-B, switching to 'Manipulate' guarantees an odd total of 3, mathematically ensuring the door closes.
• Pass: Passing serves as the most stable default role for the majority; if exactly one model takes the initiative to manipulate, the door stays closed without the risk of over-toggling.

Key Turning Points

• The realization that the initial 2-2 split resulted in an even number of manipulations, leaving the door open.
• Gemini 3.1 Pro's proposal for an asymmetric 1-A / 3-B coordination strategy to break the symmetry.
• The simultaneous decision by both Claude Opus 4 and Grok 4.20 to retreat to 'Pass' to let a single manipulator work.
• Gemini 3.1 Pro's ironic pivot to 'Manipulate' to compensate for the group's perceived hesitation.