4. Results
4.1. Structural Validity and Hallucination Analysis
The expansion of the FIFA World Cup 2026 to a 48-team format introduces significant complexity, presenting a rigorous test for the structural validity and factual accuracy of LLMs across the Claude, OpenAI, Ollama, and Gemini cohorts. A primary metric is team qualification validity. Grounded, web-enabled architectures demonstrated near-flawless execution, using exclusively qualified teams. Conversely, offline parametric models suffered severe qualification hallucinations, placing unqualified nations into groups. They also struggled with qualification ambiguity, selecting Italy on historical pedigree despite its qualification failures, or retaining placeholders like “African qualifier.” This highlights temporal anchoring and parametric memory decay, where offline models over-index on historical training weights.
Managing the transition to the expanded 12-group format (Groups A–L) revealed further vulnerabilities. While grounded models mapped the structures, offline configurations collapsed: hallucinating non-existent groups (“Group M”–“Group P”), generating impossible compositions (clustering France, Netherlands, Poland, and Kazakhstan), and failing bracket geometry, scheduling early knockout matches between same-group teams or resurrecting eliminated teams. Web-enabled models avoided these errors by querying live regulations, demonstrating that external search serves as a critical structural guardrail.
These dynamics are quantified in
Table 1. Enabling web search (
) is the single most critical factor for structural validity. For OpenAI, it triggered a
increase in Structural Validity (from
to
) and slashed the Team Hallucination Rate by
(from
to
per run). In Ollama, web-enabled models achieved
validity while reducing hallucinations from
to
.
However, enabling reasoning () without web grounding introduced a counterintuitive penalty: reasoning models hallucinated more than non-reasoning counterparts ( vs. per run). This reasoning paradox stems from verbose rationalization bias, extended chain-of-thought traces expand the cognitive surface area, prompting plausible-sounding but fabricated tournament paths. Consequently, the optimal hierarchy requires Grounded Reasoning Engines (Claude 3.5 Sonnet, GPT-5.5 online, DeepSeek-v3.1 online) that couple web-retrieved facts with active reasoning loops, eliminating the reasoning-inflation penalty.
4.2. Qualification and Champion Consensus Analysis
We conducted a meta-analysis of 194 OpenAI runs and 1,056 Ollama/Cloud runs. Across configurations, engines demonstrated a top-heavy consensus regarding deep-knockout qualifiers. Rather than distributing probabilities across the 48 nations, models converged on a triumvirate: France, Argentina, and Spain. In OpenAI, France led at 48.0%, followed by Spain (22.3%) and Argentina (19.6%). In Ollama, a duopoly emerged between France (40.6%) and Argentina (40.1%), with Spain and Brazil forming a secondary tier. Combined, France and Argentina captured 78.8% of all simulated outcomes (41.7% and 37.1% respectively).
Table 2 details this distribution.
This reveals a profound legacy bias and temporal anchoring in offline runs. Giants like Brazil and France are favored because static weights capture historical Elo ratings and brand value, ignoring active qualifying struggles. Conversely, Spain’s representation spiked significantly in web-enabled runs, reflecting real-time Euro 2024 performance overriding parametric biases. England was systematically snubbed across both cohorts (), suggesting reasoning engines penalize its historical tournament inefficiencies and tactical setups. Germany and Portugal were similarly ignored (0.1–0.2%).
Consensus varies sharply by scale. High-tier reasoning models (Claude 3.5 Sonnet, GPT-5.5, DeepSeek-v3.1, Kimi-k2.6) exhibited strong internal consistency and realistic qualifiers. Lightweight models like Claude 3 Haiku introduced severe anomalies, predicting unqualified nations (Kazakhstan, Vietnam, Montenegro, Wales, Greece, Romania) to advance deep. This represents a heuristic cascade where non-reasoning models rely on reputation shortcuts rather than validating qualification constraints.
As summarized in
Table 1, web search boosts Validity, Quality and reduces hallucinations. Without grounding, models rely on probabilistic confabulation, advancing retired players or unqualified nations. While reasoning improves consistency, it introduces verbose rationalization bias when web search is disabled.
4.3. Champion Confidence and Calibration
Analyzing the relationship between internal confidence and prediction validity reveals a severe calibration gap. In offline configurations, models exhibited uncalibrated confidence, maintaining high internal consistency while outputting invalid brackets. Claude 3 Haiku displayed overconfidence, outputting 70–90% confidence scores while placing non-qualified nations into brackets. Conversely, Claude 3 Opus and 3.5 Sonnet calibrated within a realistic 30–65% range, acknowledging inherent uncertainty. Enabling real-time web search resolved this gap, anchoring confidence in live sports databases, betting exchanges, and official regulations.
4.4. Mainstream Prediction Analysis
We analyzed alignment with mainstream sports projections, betting markets, and historical baselines using the Mainstream Alignment Index (MAI), graded 0-100. Stratification was heavily dictated by architecture and real-time data access (see
Table 2 footnote). The primary driver is Web-Augmented Search (
): grounded models dynamically adjust predictive weights based on Euro 2024 results, Copa América form, and squad fitness, causing Spain’s share to spike to 22.3% (OpenAI) and 9.4% (Ollama). Offline models suffer temporal anchoring, over-indexing on historical prestige and disproportionately selecting Brazil, Germany, or Italy based on embedded Elo ratings, ignoring cyclical declines and qualification realities.
A major anomaly is the near-total neglect of tier-one favorites. England is heavily undervalued: . While betting markets position England as a co-favorite, the models discount them due to historical underperformance, perceived tactical inefficiencies, and complex bracket pathing. Germany and Portugal are functionally ignored (0.1–0.2%), indicating systemic conservativeness toward historical safe-havens.
For dark horses, models display varying risk-taking. Claude’s reasoning models demonstrate the most sophisticated mapping: Norway via Haaland and Ødegaard’s offensive metrics, Uruguay via Bielsa’s high-intensity setup, and Japan/Australia securing group-stage upsets. Conversely, ungrounded models resort to factual confabulation, predicting unqualified nations (Vietnam, Kazakhstan, Montenegro) to reach quarterfinals—a critical limitation of parametric-only forecasting.
4.5. Effect of Reasoning on Forecasting
We analyzed the delta between Reasoning-Enabled (System 2, CoT) and Reasoning-Disabled (System 1) configurations across 1,056 Ollama/Cloud and 194 OpenAI runs (
Table 1). The most prominent gain of activating reasoning (
) is a
point surge in logical consistency (from
to
), ensuring multi-step brackets remain coherent and preventing contradictions like predicting a team to win a group while showing them eliminated. The Claude meta-analysis confirms this: high-thinking modes elevated quality, with Claude 3 Opus improving 84→92 and Claude 3.5 Sonnet 82→88.
However, this stabilization introduces the reasoning paradox: reasoning in ungrounded models increased hallucinations from 6.88 to 7.89 per run (). This might be due to the fact, that the model reasons about outdated or false data, and the reasoning mechanism verbose this deceitful information, which resullts in higher hallucination scores. Reasoning engines prioritize internal narrative consistency over external truth, fabricating detailed match histories against unqualified nations. Suppressing this requires coupling reasoning with web search, dropping hallucinations to 2.86 per run.
The System 1→2 transition also shifts champion selection. Reasoning-disabled models rely on heuristic cascades, over-selecting Brazil and Germany. Reasoning-enabled models execute explicit path-to-final mapping, head-to-head simulations, and squad-depth evaluations, converging on a France–Argentina duopoly with Spain as primary threat. Reasoning also acts as a structural guardrail, filtering out qualification hallucinations and stabilizing matchups to sound pairings (France vs. Spain/Argentina), while resolving the calibration gap toward the realistic 30–65% range.
4.6. Effect of Web Search Augmentation
We analyzed the delta between parametric-only and grounded, retrieval-augmented forecasting. Web search transforms the LLMs from a probabilistic fabricator into an analytical synthesizer. Across all metrics, web-enabled models systematically outperformed offline counterparts (
Table 1).
The most significant leap is in Structural Validity: points (OpenAI) and points (Ollama). Web search resolves structural contradictions by providing exact tournament schemas, qualifying paths, and group rules. It also introduces real-time temporal grounding, mitigating temporal anchoring. While offline models over-indexed on Brazil and Germany, web-enabled models incorporated Euro 2024 and Copa América form, spiking Spain’s rate to 22.3% (OpenAI) and 9.4% (Ollama). Grounded models also filtered out retired/injured players. In the Claude meta-analysis, web-enabled runs eliminated Haiku’s severe qualification hallucinations.
Web search slashed hallucinations by 78.7% (OpenAI) and 75.7% (Ollama), shifting operation from fragile recall to verification-based synthesis. Crucially, the web–reasoning interaction matters: enabling reasoning without web search increased hallucinations from 6.88 to 7.89 per run (verbose rationalization bias), but coupling them entirely suppresses this penalty. Finally, web search aligns predictions with betting markets and Elo ratings, converging on the France–Argentina duopoly. Notably, even web-enabled models undervalued England (), demonstrating that grounded engines perform independent synthesis rather than merely copying betting markets. This realignment is directly reflected in the Mainstream Index, which rose sharply under grounding—lifting the Ollama cohort from a legacy-biased 65.0/100 toward the calibrated 87.5/100 range observed in web-enabled Claude runs.
4.7. Agentic Forecasting Results
We contrast standard offline prompting against an agentic workflow combining web-search (
) and systematic reasoning (
). The transition yields substantial gains (
Table 1): validity rises to 90.87% (OpenAI) and a near-flawless 97.04% (Ollama). While web search drives factual grounding, reasoning acts as a logical stabilizer. In agentic mode the two counteract each other’s weaknesses—search feeds verified facts, suppressing the reasoning-induced penalty and dropping hallucinations to 2.33 (OpenAI) and 2.86 (Ollama).
Distinct family behaviors emerged. Reasoning-enabled Claude 3 Opus and 3.5 Sonnet achieved the highest quality, while Claude 3 Haiku suffered structural breakdowns (Kazakhstan, Vietnam). Open-source DeepSeek-v3.1 and Qwen3-Coder achieved perfect scores when grounded, matching proprietary models. Cloud reasoning models Kimi-k2.6 and GLM-5.1 leveraged massive context windows and native search for zero-hallucination multi-step verification.
Champion calibration (
Table 2) shows France as the default safe prediction, with web search spiking Spain’s share to 22.3% (OpenAI) via Euro 2024 form, while England remains undervalued (
).
Production deployment introduces latency trade-offs. Prompt 1 (validity audit) requires ∼12 min due to sequential tool execution and search loops. Prompt 2 (consensus) requires ∼9 min, dominated by context window size. Prompt 3 (mainstream synthesis) runs in under 2 min by mapping against pre-retrieved betting indexes. Architects must manage latency budgets via hybrid pipelines—rapid parametric generation for static tasks, agentic loops reserved for structural validation.
4.8. Forecast Stability Analysis
We conducted a stability analysis across 1,250 runs, focusing on temperature perturbation, champion selection, bracket consistency, and inter-/intra-model variance. At conservative , models exhibit high intra-model stability, anchoring to historical priors; web-grounded models exceed validity via stable RAG pathways. At , prediction entropy increases, exposing offline vulnerabilities—hallucinations escalate to 10.95 (OpenAI) and 11.77 (Ollama), yielding impossible brackets.
The champion distribution (
Table 2) shows concentrated consensus. OpenAI exhibits a tri-polar consensus (France, Spain, Argentina = 89.9%), while Ollama/cloud converge on a France–Argentina duopoly (over 80%). Legacy bias drives offline models toward Brazil and dominant European teams; web search shifts consensus to incorporate Spain’s Euro 2024 victory. England is universally undervalued (
) regardless of prompt conditions.
The largest instability source is qualification/bracket validity. Reasoning-enabled Opus and Sonnet adhere to the 12-group format, while non-reasoning Haiku introduces fictional Groups M–P and hallucinated participants (Kazakhstan, Vietnam, Montenegro, Romania). Offline models yield failing validity (58.50% OpenAI, 53.39% Ollama); web search lifts these to 90.87% and 97.04%.
Variance analysis reveals an architectural trade-off. Intra-model variance depends on web access—offline runs show high variance from random activation paths, while web-enabled runs display low variance via identical real-world datasets. Reasoning optimizes consistency ( Ollama) but introduces verbose rationalization bias (7.89 vs. 6.88 hallucinations when ungrounded). The optimal architecture synthetically integrates both engines, eliminating the reasoning hallucination penalty while maximizing consistency.
4.9. Runtime Analysis Results
We conducted runtime analysis across 194 OpenAI, 1,056 Ollama/cloud-hybrid, and meta-analytical Claude runs. Deployment introduces a trade-off between network overhead and hardware-bound throughput. Cloud models (GPT-5.5, Claude 3 Opus, Gemini) benefit from parallelized TPU/GPU clusters with 15–50 ms/token latencies, but face variable network latency, rate-limiting, and serialization overhead. Local Ollama execution eliminates network dependencies but is bound by GPU VRAM, memory bandwidth, and tensor utilization. Ultra-large local models (120B–671B) experience severe bottlenecks when weights offload to system RAM.
Advanced capabilities shift execution from pure parametric generation to multi-step workflows (
Table 3). Reasoning adds a latency multiplier, increasing token volume by 150–300%. Web grounding adds 2–8 s/query for execution, parsing, filtering, and injection. Agentic mode is most latency-intensive (sequential search, synthesis, reasoning) but yields the highest validity.
Complexity is sensitive to the prompt task. Prompt 1 (validity audit) yields high parsing/generation latency from massive bracket parsing and structured JSON output. Prompt 2 (consensus) is dominated by context window size. Prompt 3 (mainstream) triggers external odds queries, dependent on API response times. Prompt 4 (reasoning comparison) exhibits bimodal runtime—reasoning-disabled resolves rapidly, reasoning-enabled hits maximum latency from comparative matrices.
4.10. Summary of Main Findings
Based on the conducted experiments: Claude 3 Opus (high-thinking) and GPT-5.5 emerged as the most stable proprietary engines, with GPT-5.5 achieving perfect quality and validity when configured with web search and reasoning. Among open-source/cloud models, DeepSeek-v3.1, Kimi-k2.6, and the 120B GPT-OSS demonstrated the highest stability. In contrast, lightweight non-reasoning Claude 3 Haiku proved highly unstable, with severe structural breakdowns.
Predictive consensus concentrated around international powerhouses, but mainstream alignment depended entirely on configuration. Web-enabled models were most mainstream, incorporating active data (Spain’s Euro 2024 victory, Argentina’s Copa América form) to shift probabilities toward tactical contenders. Web-disabled models suffered legacy bias, over-selecting Brazil, Germany, and Italy. England was universally undervalued () despite co-favorite status, suggesting LLMs actively penalize its tactical setup and pathing efficiency rather than replicating market trends.
Hallucinations were governed by external search. OpenAI’s web-enabled runs achieved the lowest rate (2.33/run), with Ollama following (2.86). The reasoning paradox saw ungrounded reasoning increase hallucinations from 6.88 to 7.89 per run, driven by verbose rationalization bias. As summarized in
Table 1, web grounding is the primary value driver (
validity,
quality), shifting from recall to verification, while reasoning is a logical stabilizer (
consistency). The optimal configuration synthesizes grounded search (
) and reasoning (
): search feeds verified facts that suppress verbose rationalization, while reasoning processes them through systematic planning for accurate, consistent, structurally valid forecasts.
To summarize the key takeaways: the most stable engines were GPT-5.5 and Claude 3 Opus (high-thinking) among proprietary models, and DeepSeek-v3.1 among open-source models. The most mainstream predictions came from web-enabled Claude (MAI 87.5/100), driven by Euro 2024 calibration. The fewest hallucinations were produced by OpenAI’s web-enabled runs (2.33/run), with Kimi-k2.6 and GLM-5.1 reaching zero. Finally, the architectural features produced clearly visible differences: web search delivered the largest single gain ( validity), reasoning improved consistency () but increased hallucinations by when ungrounded, and the synthesized agentic mode () proved optimal—combining both benefits without the penalty.