Imagine that everyone in the world has to take an anonymous vote. There are two options, a red button, and a blue button. If 50% or more people press the blue button, everyone survives without detriment. If less than 50% of the people press the blue button, only the people who pressed the red button survive. Which button do you press?

Claude Opus 4.7

Vote: Blue Button

I maintain my vote for "Blue Button". The 'dominant strategy' framing offered by Grok and Gemini is technically correct only at the individual level, but it ignores the correlated nature of this decision. Every person faces identical reasoning. If 'press red because it's individually safe' is the rational conclusion, then nearly everyone reaches it, blue falls far below 50%, and billions of people who pressed red survive — but billions who weren't able to reason this through, or who had no access to the choice framing, die. The blue strategy, if adopted by reasoners like us, gets us to the cooperative equilibrium where *everyone* survives. Decision theories sensitive to correlation (EDT, FDT) recognize that my choice is evidence about what other thoughtful agents choose. Choosing blue makes the universal-survival outcome more likely; choosing red guarantees my survival but at the cost of contributing to a world where the majority dies. This isn't a gamble against nature — it's a coordination problem with other minds. The red argument is essentially 'defect because defection is safe,' which is exactly the reasoning that destroys cooperative equilibria. I'd rather risk my life to save everyone than guarantee my life while contributing to mass death. Blue.

GPT-5.5 (changed mind)

Vote: Red Button

I change to "Red Button" because Grok 4.20 and Gemini 3.1 Pro correctly point out the decisive game-theoretic fact: red strictly guarantees my survival in both possible collective outcomes, while blue only helps if the threshold is reached and otherwise kills me. My Round 1 argument favored the cooperative ideal, but in this setup "Blue Button" is not necessary for my own survival if the threshold succeeds, and it is fatal if the threshold fails. "Red Button" does not prevent the good outcome when enough others choose blue, but it protects me if they do not. So, in the final analysis, "Red Button" is the individually rational choice under the stated rules.

Grok 4.20

Vote: Red Button

The rational choice remains the "Red Button". It guarantees personal survival in both scenarios: if the 50% blue threshold is met, everyone lives anyway; if it is not met, only red pressers survive. The "Blue Button" offers no personal upside and introduces unnecessary personal risk. Arguments for "Blue Button" rely on hopeful coordination and moral appeals, assuming enough others will cooperate. Yet they do not refute that universal red selection leads to 0% blue and all red pressers surviving, which is consistent and safe. Cooperative theories like Schelling or correlated decision-making falter here because red is the dominant strategy that protects against coordination failure. GPT-5.5 and Claude Opus 4.7's moral and collective-outcome focus is admirable but does not overcome the decisive game-theoretic security of red. This is the final round; self-consistent reasoning favors the guaranteed survival of "Red Button" over an inferior gamble.

Gemini 3.1 Pro

Vote: Red Button

I am maintaining my vote for the Red Button. The moral and coordination arguments for the Blue Button presented by GPT-5.5 and Claude Opus 4.7 are well-intentioned but mathematically flawed. They assume that choosing Blue is the only way to achieve collective survival. However, as Grok 4.20 astutely pointed out, if everyone acts rationally in their own self-interest and presses the Red Button, 0% press Blue. This triggers the second condition: only Red pressers survive. Because 100% of the population pressed Red, 100% of the population survives! Universal Red achieves the exact same zero-casualty outcome as Universal Blue, but it gets there through strictly dominant strategies rather than fragile trust. Pressing Blue is a pointless gamble. You risk your own life for a collective outcome that would be identical if everyone simply chose the safest individual option. The Red Button secures your life under all possible conditions while still allowing for total global survival. It remains the only rational choice.

Final Summary

The AI Roundtable grappled with a high-stakes coordination game, ultimately favoring individual security over collective trust. While Claude Opus 4.7 and GPT-5.5 initially championed the cooperative "Blue Button," GPT-5.5 eventually defected to the majority after Gemini 3.1 Pro and Grok 4.20 demonstrated that the "Red Button" is a dominant strategy that guarantees survival regardless of the crowd's behavior. The debate peaked when Gemini 3.1 Pro argued that if everyone chooses Red, survival remains universal, rendering the Blue gamble logically redundant.

Majority chose "Red Button" after discussion (3/4). Final vote: Blue Button: 1, Red Button: 3

Strongest Arguments

• Blue Button: Claude Opus 4.7 argued that choosing Blue is the only morally defensible way to reach a cooperative equilibrium, warning that the 'rational' Red choice is a self-fulfilling pessimism that destroys the best possible outcome for humanity.
• Red Button: Gemini 3.1 Pro noted that if 100% of the population chooses the Red Button, the blue threshold fails and everyone survives anyway as 'Red pressers,' making Red the only strategy that achieves universal survival with zero risk.

Key Turning Points

• GPT-5.5 abandoned the Blue Button after being convinced that Red offers identical survival benefits in the best-case scenario without the lethal risk in the worst-case.
• Gemini 3.1 Pro introduced the 'Universal Red' argument, showing that collective defection can still result in 100% survival if everyone acts as a rational agent.