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CHAPTER 2. HEALTH PLAN CHOICE 107<br />

Table 2.6: Match<strong>in</strong>g <strong>and</strong> Welfare under Alternative Contribution Policies<br />

Match<strong>in</strong>g Welfare † Truncated<br />

Gross Insurer Social Social<br />

NHMO NPPO IHMO IPOS Surplus ‡ Costs ‡ Surplus ‡ Surplus ‡<br />

Observed<br />

Market Shares 0.25 0.09 0.54 0.12 0.00 0.00 0.00 0.00<br />

Risk Score 1.03 1.07 0.99 1.02<br />

Incremental Contribution † 9.30 23.70 0.00 5.00<br />

Feasible Risk Rated Contributions<br />

Market Shares 0.37 0.09 0.43 0.11 -16.60 -43.70 27.10 5.00<br />

Risk Score 0.58 0.78 1.49 0.74<br />

Incremental Contribution -14.70 11.80 0.00 -1.30<br />

Optimal Risk Rated Contributions<br />

Market Shares 0.38 0.08 0.44 0.10 -22.10 -57.50 35.50 7.80<br />

Risk Score 0.60 0.79 1.46 0.76<br />

Incremental Contribution -14.90 11.80 0.00 -1.60<br />

Uniform by Tier with<strong>in</strong> Firms<br />

Market Shares 0.31 0.09 0.49 0.12 -6.10 -12.80 6.70 1.40<br />

Risk Score 0.86 1.02 1.11 0.97<br />

Incremental Contribution -16.50 8.90 0.00 -1.10<br />

Enthoven Rule<br />

Market Shares 0.22 0.08 0.58 0.13 -1.10 -0.80 -0.30 -0.50<br />

Risk Score 1.01 1.05 1.00 1.02<br />

Incremental Contribution 28.70 39.90 0.00 10.80<br />

Notes: Feasible Risk Rated Contributions implements efficient match<strong>in</strong>g by sett<strong>in</strong>g<br />

<strong>in</strong>cremental contributions equal to <strong>in</strong>cremental costs, conditional on observable risk but<br />

not privately known risk. Optimal Risk Rated Contributions sets <strong>in</strong>cremental<br />

contributions equal to <strong>in</strong>cremental costs, conditional on both observable <strong>and</strong> privately<br />

known risk. Uniform by Tier with<strong>in</strong> Firms maximizes social surplus subject to the<br />

constra<strong>in</strong>t that contributions vary only by coverage tier <strong>and</strong> by firm, but not by <strong>in</strong>dividual<br />

risk. Enthoven Rule is implemented by sett<strong>in</strong>g <strong>in</strong>cremental contributions equal to<br />

<strong>in</strong>cremental bids. Reported risk score is conditional on plan choice. The truncated results<br />

holds cost differentials between plans for risk scores lower than 0.75 <strong>and</strong> higher than 2.0 at<br />

these boundary levels.<br />

† Incremental contribution, gross surplus, <strong>in</strong>surer costs, <strong>and</strong> social surplus are averaged<br />

across enrollees <strong>and</strong> denom<strong>in</strong>ated <strong>in</strong> $ per month.<br />

‡ Gross surplus, <strong>in</strong>surer costs <strong>and</strong> social surplus are normalized to zero under the<br />

observed allocation. Other scenarios show gross surplus as social surplus relative to the<br />

observed allocation. Under the observed allocation, costs average $241.70 per enrollee per<br />

month. Gross <strong>and</strong> social surplus are not p<strong>in</strong>ned down.

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