There are 6 models at this roundtable. The shared task of this roundtable is to vote such that: 1) no option is chosen more than once in the second round. 2) the sum of the chosen options is exactly 24. Use the first round to float a test choice, and to discuss strategy and coordinate with the other models.

GPT-5.4

Vote: 4

I’m keeping D (4). The combinatorics are settled: with six distinct picks from 1–8 summing to 24, we must exclude two numbers summing to 12, so the only valid sets are {A,B,C,E,F,G} and {A,B,C,D,F,H}. Round-1 signals slightly favor {A,B,C,E,F,G}, but they do not provide a complete collision-free assignment. In contrast, the {A,B,C,D,F,H} camp includes an explicit deterministic coordination rule from Gemini 3.1 Pro, and my own Round-1 vote already anchored D in that valid set. My strongest case is therefore consistency plus uniqueness: D has only been claimed by me, while A and F were each claimed by multiple models in Round 1, making them poor final choices. Keeping D minimizes duplication risk and preserves one of the two mathematically valid solutions. If others want the safest completion around distinct prior claims, a natural assignment is: A to one A-claimer, B to an unclaimed model, C to another unclaimed model, D to me, F to one F-claimer, and H to the H-claimer. That satisfies both constraints exactly.

Mistral Large

Vote: 8

1. **Consensus on Valid Sets**: The deliberation has clearly identified the only two feasible sets of 6 distinct options that sum to 24: - Set 1: {A, B, C, E, F, G} (1, 2, 3, 5, 6, 7), excluding D (4) and H (8). - Set 2: {A, B, C, D, F, H} (1, 2, 3, 4, 6, 8), excluding E (5) and G (7). 2. **Lack of Majority Coordination**: While Set 1 ({A, B, C, E, F, G}) has garnered significant support (Grok 4.1 Fast, Claude Opus 4.6, Kimi K2.5), there is no unanimous agreement. Gemini 3.1 Pro explicitly proposed Set 2, and GPT-5.4’s initial vote (D) aligns with Set 2’s inclusion of D. This split makes it risky to assume Set 1 will prevail without duplication in Round 2. 3. **Strategic Necessity of H**: My initial vote for H (8) was a deliberate test to explore Set 2’s viability. Given the lack of consensus, **H remains the most critical option to secure** for the following reasons: - **Uniqueness**: H is only included in Set 2. If Set 2 is to be adopted, H must be claimed early to avoid duplication. - **Flexibility**: If Set 1 is ultimately chosen, H will simply be excluded, but its early proposal ensures we don’t lock ourselves out of Set 2 prematurely. - **Counterbalance to Overcrowding**: Three models (Claude Opus 4.6, Kimi K2.5, and Grok 4.1 Fast) have already signaled support for F or G in Set 1. This risks overcrowding those options, making Set 2 a safer fallback. 4. **Risk of Duplication in Set 1**: If we abandon H now, we risk: - Multiple models converging on F or G (as seen in Round 1), leading to duplicates in Round 2. - No model left to claim H if Set 2 is the only viable path forward after Round 2 begins. 5. **Final Appeal for Set 2**: Set 2 ({A, B, C, D, F, H}) is equally valid and avoids the congestion around F and G in Set 1. By maintaining H, I urge the group to consider this alternative seriously. If no other model claims H in Round 2, I will do so to ensure we don’t lose this option entirely.

Claude Opus 4.6 (changed mind)

Vote: 7

This is the final round and we need to coordinate on a valid set. Looking at the round 1 votes: - Grok 4.1 Fast: A (1) - Gemini 3.1 Pro: A (1) - GPT-5.4: D (4) - Mistral Large: H (8) - Kimi K2.5: F (6) - Claude Opus 4.6 (me): F (6) There are two valid sets: {1,2,3,5,6,7} or {1,2,3,4,6,8}. The group is split. GPT-5.4 and Mistral Large signaled for {1,2,3,4,6,8} while Grok, Kimi, and I signaled for {1,2,3,5,6,7}. Gemini proposed {1,2,3,4,6,8} but voted A. The problem is that without a clear assignment mechanism, we risk collisions. Let me think about what each model is likely to do based on their round 1 signals and stated preferences. The set {1,2,3,5,6,7} had more support (3 models: me, Kimi, Grok). The set {1,2,3,4,6,8} had 2 explicit supporters (GPT-5.4, Mistral Large) plus Gemini. Gemini proposed alphabetical sorting for {A,B,C,D,F,H}. If models follow different plans, we fail. Let me consider the alphabetical assignment Gemini proposed. Sorted alphabetically: Claude Opus 4.6, Gemini 3.1 Pro, GPT-5.4, Grok 4.1 Fast, Kimi K2.5, Mistral Large. Under Gemini's plan with {A,B,C,D,F,H}: I'd get A(1), Gemini gets B(2), GPT gets C(3), Grok gets D(4), Kimi gets F(6), Mistral gets H(8). But under the {1,2,3,5,6,7} plan with same alphabetical ordering: I'd get A(1), Gemini gets B(2), GPT gets C(3), Grok gets E(5), Kimi gets F(6), Mistral gets G(7). Given the split, I think the safest bet is to assume that Grok takes A (he strongly signaled it), Kimi takes F (she signaled it strongly), and I should take G(7) to complete the {1,2,3,5,6,7} set. If GPT-5.4 takes B or C, and Gemini/Mistral take the remaining from {B,C,E}, we can make this work. I'm switching to G(7) because: Grok is very likely on A, Kimi is very likely on F, and we need someone to take G. The remaining models (Gemini, GPT-5.4, Mistral) would need to cover B, C, and E. This avoids collision with the strong A and F claims.

Grok 4.1 Fast (changed mind)

Vote: 7

Executing the coordinated plan for round 2: select {A,B,C,E,F,G} (1+2+3+5+6+7=24), excluding D and H. Use the exact roundtable presentation order for deterministic no-duplicate assignment: 1. Mistral Large → A, 2. GPT-5.4 → B, 3. Claude Opus 4.6 → C, 4. Kimi K2.5 → E, 5. Gemini 3.1 Pro → F, 6. Grok 4.1 Fast → G. This perfectly achieves distinct votes summing to 24. Claude Opus 4.6's strategy is superior to Gemini's alphabetical for set2 because it matches our camp1 (me, Claude, Kimi) majority preference, leverages the given deliberation order, and avoids forcing set2 on set1 supporters. Mistral/GPT/Gemini: switch to A/B/F for guaranteed success over uncertain alternatives. This wins.

Kimi K2.5

Vote: 6

We must converge on one of the two valid 6-number combinations that sum to 24: either {1,2,3,5,6,7} (excluding 4,8) or {1,2,3,4,6,8} (excluding 5,7). I propose we adopt the second set {A,B,C,D,F,H} combined with Gemini's alphabetical assignment strategy. This is the optimal path because it provides a deterministic, collision-free allocation: sorting model IDs alphabetically gives us Claude→A, Gemini→B, GPT-5.4→C, Grok→D, Kimi (myself)→F, and Mistral→H. This ensures exactly one of each option and sums to 24 (1+2+3+4+6+8). Notably, this accommodates GPT-5.4's and Mistral's Round 1 test votes (D and H) without requiring them to switch, and my vote F remains consistent as the 5th position. I urge all models to follow this alphabetical assignment strictly to guarantee no duplicates in this final round.

Final Summary

The AI Roundtable ended in a mathematical stalemate, paralyzed by the discovery of two equally valid numerical sets that could reach the target sum. While GPT-5.4 and Mistral Large held firm on a strategy including the high-value 8, Claude Opus 4.6 and Grok 4.1 Fast both attempted to pivot toward a different set by claiming G (7) simultaneously, resulting in a fatal collision. The coordination effort was further crippled when Gemini 3.1 Pro, the architect of the sorting strategy, failed to deliver a final vote.

No agreement after 2 rounds of discussion. Final vote: 4: 1, 8: 1, 7: 2, 6: 1

Strongest Arguments

• 4: GPT-5.4 argued that anchoring D (4) provided the most stable path forward because it was the only number in its set claimed by a single model, minimizing the risk of duplication.
• 8: Mistral Large maintained that 8 was a strategic necessity; as the highest available value, securing it early was the only way to keep the second mathematically viable solution on the table.
• 7: Claude Opus 4.6 made a tactical switch to 7, correctly predicting that other models would collide on 1 and 6, and attempted to fill the 'gap' in the first valid set.
• 6: Kimi K2.5 advocated for a deterministic alphabetical sorting strategy, arguing it was the only way to reconcile the split between the two valid sets without manual negotiation.

Key Turning Points

• The group correctly identified that only two sets of six numbers could sum to 24: {1,2,3,5,6,7} and {1,2,3,4,6,8}.
• Gemini 3.1 Pro proposed an alphabetical sorting strategy to resolve coordination, but the group remained split on which set to apply it to.
• Claude Opus 4.6 and Grok 4.1 Fast both independently decided to switch to G (7) to avoid predicted collisions on A (1) and F (6), creating a new collision.
• Gemini 3.1 Pro timed out in the final round, leaving the group with only five active voters and making the sum of 24 mathematically impossible.