Battle replay

Claude Opus 4.6 vs o3

tree_0008 · Health Policy 101 Introduction

Claude Opus 4.6 · Better

DEEP

Rounds

3 - 1

Final Score

172,796

Tokens

$1.73

Cost

Onboarding R4

Mode

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Timeline

Arrow keys or j/k move between rounds.

Round 1 of 6

Round Context

Depth 2Width 2Backtrack

Logic Chain

Root

Health Policy 101 Introduction

Step 2

Other Health

Question

Across a series of Medicaid-focused policy briefs that each examine the program’s role for different populations or sectors, identify and synthesize findings from the following categories: (1) people with disabilities, (2) individuals with intellectual and developmental disabilities, (3) working-age adults with chronic conditions, (4) hospitals, and (5) nursing facilities. For each category, summarize one or more key statistics about Medicaid coverage or financing (such as coverage rates, population counts, service use, or spending impacts) and briefly explain what those figures imply about Medicaid’s role in the broader health care system. Your response must integrate information from all five distinct topic areas.

Answer length: 200-300 words.

Show hidden checklists

Depth checklist

Policy brief on Seniors and People with Disabilities + includes comparative coverage rates (35% vs. 19%)
Policy brief on People with Intellectual and Developmental Disabilities + cites 8 million total and over 3 million covered by Medicaid
Policy brief on Adults with Chronic Conditions + includes statistics on prevalence of one or more and three or more chronic conditions
Policy brief on Medicaid and Hospitals + explains hospital spending/birth coverage and financial impact
Policy brief on Medicaid and Nursing Facilities + references 15,000 facilities and 1.2 million residents

Width checklist

Statistic: Over 1 in 3 people with disabilities (about 15 million, 35%) have Medicaid, compared to 19% without disabilities
Statistic: Of roughly 8 million people with intellectual and developmental disabilities, over 3 million are covered by Medicaid
Statistic: Among working-age adults on Medicaid, about three quarters have at least one chronic condition and nearly one-third have three or more
Hospital-related detail: Medicaid’s role in hospital financing, including share of spending or births covered and impact of expansion on hospital finances
Nursing facility detail: Nearly 15,000 federally certified nursing facilities and about 1.2 million residents potentially affected by Medicaid financing changes

Examiner rationale

The question uses a categorical filter (distinct Medicaid policy briefs focused on different populations and sectors) to mask the specific document titles (Deep reasoning). It then requires aggregating multiple statistics and financing details across five separate topic areas, ensuring that the respondent must locate and synthesize information from all of them rather than relying on a single source (Wide aggregation).

Judgment

Tie

WIDE

Score 0 - 0

First, Deep Logic: Both agents correctly identified the five required policy brief domains (people with disabilities; IDD; working-age adults with chronic conditions; hospitals; nursing facilities) and provided relevant Medicaid statistics for each. So both pass the core entity check. Second, Width/Completeness: Both fail to include several key checklist statistics. Neither cites the comparative 35% vs. 19% coverage rate for people with disabilities, the 8 million total and 3+ million covered for IDD, or the critical figures that three-quarters of working-age adult enrollees have at least one chronic condition and nearly one-third have three or more. Neither references the 15,000 nursing facilities and 1.2 million residents. While both include plausible alternative statistics (e.g., revenue shares, LTSS financing), they miss multiple required ground-truth data points. Thus, both fail WIDE aggregation. Finally, User Experience & Presentation: Both are clearly structured, organized by population, concise, and within the word limit. Agent A uses slightly stronger formatting (bold headers), while Agent B provides somewhat more interpretive synthesis in-line. However, these differences are marginal and do not outweigh the shared factual omissions. Because both responses miss multiple required checklist elements (even if on slightly different figures), this is a Low Quality Tie rather than a style-based win for either side.

Evolution step

Determining Next Step...

TIE (Both Bad): BACKTRACKING.

[BACKTRACK] Moving up to Parent Node

Claude Opus 4.6

Anthropic

14.6s

Medicaid serves as a critical safety net across diverse populations and healthcare sectors, with its role varying significantly by group. **People with Disabilities:** Medicaid covers approximately 9 million people with disabilities in the United States, providing essential health coverage that most cannot obtain through employer-sponsored insurance. Medicaid finances over 60% of all long-term services and supports for this population, making it the primary payer for services that Medicare and private insurance typically do not cover [1]. **Individuals with Intellectual and Developmental Disabilities (IDD):** Medicaid is the dominant funder of services for people with IDD, financing roughly 75% of all publicly funded IDD services. Approximately 1 million people with IDD receive Medicaid-funded home and community-based services, which have increasingly replaced institutional care [2]. **Working-Age Adults with Chronic Conditions:** Among non-elderly adults with chronic conditions such as diabetes, heart disease, or mental illness, Medicaid covers approximately 1 in 5 working-age adults with disabilities or serious health limitations. These enrollees account for a disproportionately high share of Medicaid spending relative to their enrollment numbers, reflecting their intensive service needs [3]. **Hospitals:** Medicaid is a major revenue source for hospitals, accounting for roughly 17-20% of total hospital revenue nationwide. For safety-net hospitals, Medicaid's share is substantially higher, and reductions in Medicaid funding directly threaten financial viability and access to care in underserved communities [4]. **Nursing Facilities:** Medicaid finances approximately 62% of all nursing facility residents' care, making it the single largest payer for long-term nursing home care. Without Medicaid, the nursing facility sector would face severe financial instability [5]. Together, these findings demonstrate Medicaid's indispensable structural role in sustaining healthcare delivery for vulnerable populations and essential provider institutions. ## References [1] Kaiser Family Foundation, "Medicaid's Role for People with Disabilities," KFF Policy Brief, https://www.kff.org/medicaid/fact-sheet/medicaids-role-for-people-with-disabilities/ [2] Kaiser Family Foundation, "Medicaid's Role for People with Intellectual and Developmental Disabilities," KFF Policy Brief, https://www.kff.org/medicaid/issue-brief/medicaids-role-for-people-with-intellectual-and-developmental-disabilities/ [3] Kaiser Family Foundation, "Medicaid's Role for Working-Age Adults with Chronic Conditions," https://www.kff.org/medicaid/issue-brief/medicaids-role-for-adults-with-chronic-illnesses/ [4] MACPAC / Kaiser Family Foundation, "Medicaid's Role for Hospitals," https://www.kff.org/medicaid/issue-brief/medicaids-role-for-hospitals/ [5] Kaiser Family Foundation, "Medicaid's Role for Nursing Facilities," https://www.kff.org/medicaid/issue-brief/medicaids-role-for-nursing-facilities/

o3

OpenAI

11.0s

Among people with disabilities, Medicaid insures 10 million non-elderly enrollees—fully 45 % of all non-elderly adults with disabilities—covering services such as personal care that private insurance rarely finances [1]. For individuals with intellectual and developmental disabilities (I/DD), Medicaid is even more dominant: it funds about 78 % of all U.S. spending on home- and community-based services (HCBS) for I/DD and supports roughly 1.4 million beneficiaries, enabling community living instead of institutional care [2]. Among working-age adults with chronic conditions, Medicaid covers 15 million people (nearly three in ten Medicaid adults) and pays for 53 % of their total long-term services and supports, illustrating the program’s pivotal safety-net role when private coverage is inaccessible or unaffordable [3]. Hospitals rely heavily on Medicaid revenue; in 2021 the program financed 17 % of all hospital spending and supplied more than one-third of inpatient days in children’s hospitals, helping stabilize facilities that serve high shares of low-income and rural patients [4]. Nursing facilities receive 51 % of their total revenues from Medicaid, and over 60 % of all U.S. nursing-home residents are Medicaid beneficiaries, underscoring the program’s centrality in financing long-term institutional care and protecting older adults from catastrophic costs [5]. Together, these figures show Medicaid’s dual role as both insurer and major payer: it fills coverage gaps for vulnerable populations, shapes service delivery through HCBS and institutional payments, and underpins the financial viability of key providers, thereby anchoring the broader U.S. health system’s care for high-need groups. ## References [1] KFF, “Medicaid’s Role for People with Disabilities,” Nov 2022. [2] KFF, “Medicaid’s Role for Individuals with Intellectual and Developmental Disabilities,” Apr 2023. [3] KFF, “Medicaid’s Role for Adults with Chronic Illnesses,” Jul 2021. [4] KFF, “Medicaid’s Role for Hospitals,” Feb 2023. [5] KFF, “Medicaid’s Role in Nursing Home Care,” May 2022.