DEV · cmaes-dev.dev-est-mcts-index

Estonia, tree search, 4 years

2 simulations of 4 rounds from the 2026 position. Estonia decides by the tree search (mcts) method; the shock and upside library, drawn at random each round.

Model 0.2.0 · graph 0.2.0 · parameters 0.1.1 · seeds 1–2 · elasticity sampled within each bracket

The same configuration in other cycles: mcts-dev.

Every simulation · Compare with another experiment · More experiments like this

Not a forecast
Simulations of a structural model with seed parameter values, to compare methods and test the model. Other nations stay at their 2026 ratings throughout.

Outcome across simulations

The median at 2030, with the 10th to the 90th percentile of the 2 simulations under it.

Capability index
11.60 (+0.11)
From 11.49; 11.46 to 11.73
Rank by index
32
From 33; 30 to 34
Domains at Tier 1
0
From 0; 0 to 0
Tier rank
28
From 27; 27 to 29

Capability index by round

Rank by index, by round

Every objective at the position and at the horizon
Objective202610th percentileMedian90th percentileBetter
Capability indexprimary11.4911.4611.6011.73higher
Rank by index33303234lower
Tier rank27272829lower
Domains at Tier 10000higher
Score sum817.9819.2828.7838.2higher
Goal-weighted score817.9819.2828.7838.2higher
Resilient score817.9828.7 (mean score sum over the simulations)higher

The capability index is the mean of the three dimensions, each the mean of its domains, each the mean of its groups. Tiers are Pareto layers within each domain; the tier rank orders nations by domains held at Tier 1, then Tier 2, and so on. The goal-weighted score is the score sum unless the experiment sets a goal. The primary objective is the one the experiment is judged on; every other objective is reported beside it.

Credits

What each round’s credits went on in the median simulation. Across all simulations, build took 7 per cent, buy took 72 per cent, partner took 20 per cent of the 235 credits a simulation spent on actions.

What each decision and shock was worth

Counterfactual probes on the first 1 seeds: the same simulations with one thing changed, paired seed by seed. A removed decision or shock is taken out and the other decisions replayed unchanged, so the difference is that item's worth.

ProbeIndexScore sumTier 1For example
Hold instead of the method−0.281−22.60.00
No shocks0.0000.00.00
Replay of the recorded actions (must change nothing)0.0000.00.00
Without the 1st largest decision−0.012−1.10.002030 buy Semiconductors & Advanced Computing (12 credits)
Without the 2nd largest decision−0.009−0.80.002030 buy Space Technologies (12 credits)
Without the 3rd largest decision−0.022−1.20.002030 buy Development Cooperation & Global Assistance (12 credits)
Without the 4th largest decision−0.013−1.10.002030 buy Advanced Materials & Manufacturing (12 credits)
Without the 5th largest decision−0.012−0.70.002030 buy Economic Output & Productivity (12 credits)

Simulations

Three simulations told round by round, each on its own page: the one nearest the median index at the horizon, and those nearest the 10th and the 90th percentile. Every one of the 2 is listed with its outcome on the simulations page.

All 2 simulations

Events

How often each shock and upside event began across the simulations. Shocks come from the ten downside scenarios and upside events from the ten upside ones, at their yearly likelihood.

Event
Kind
Simulations
Mean round
Points
Breadbasket failure S06Shock50 per cent2.0−21.6

Groups across simulations

Every capability group: its position, and its median and spread at the horizon across the simulations, with what the method spent on it.

73 of 73 groups

Capability group
Domain
2026
2030
Change
Levels invested
Credits
Artificial IntelligenceCritical Technology8.3312.31 12.22 to 12.40+3.983.5835
Space TechnologiesCritical Technology2.676.40 6.36 to 6.43+3.733.7647
Semiconductors & Advanced ComputingCritical Technology2.505.54 5.07 to 6.01+3.043.0747
Development Cooperation & Global AssistanceInformation & Influence7.509.80 9.66 to 9.94+2.302.4524
Energy TechnologiesCritical Technology4.807.10 7.02 to 7.18+2.302.3923
Advanced Materials & ManufacturingCritical Technology5.147.43 7.38 to 7.49+2.292.3524
Sensing, Timing & NavigationCritical Technology4.606.00 5.95 to 6.05+1.401.2712
Economic Output & ProductivityProduction & Innovation10.0011.30 11.15 to 11.46+1.301.5024
Robotics & Autonomous SystemsCritical Technology8.258.38 8.32 to 8.44+0.130.000
Nuclear DeterrenceNational Security0.000.00 0.00 to 0.000.000.000
Space OperationsNational Security4.003.99 3.95 to 4.02−0.010.000
Economic Leverage & DependenceTrade & Investment11.6711.64 11.45 to 11.83−0.030.000
Strategic Strike & Missile DefenceNational Security6.005.97 5.92 to 6.02−0.030.000
Quantum TechnologiesCritical Technology5.505.45 5.40 to 5.49−0.050.000
Air PowerNational Security4.504.45 4.42 to 4.49−0.050.000
Maritime PowerNational Security6.005.94 5.89 to 5.99−0.060.000
Biotechnology & Health TechnologiesCritical Technology7.407.33 7.28 to 7.39−0.070.000
Transparency, Oversight & AccountabilityGovernance & Integrity16.3316.25 16.18 to 16.31−0.080.000
Intelligence & AssessmentNational Security11.6711.59 11.52 to 11.67−0.080.000
Political Institutions & Civic ParticipationGovernance & Integrity16.0015.92 15.85 to 15.98−0.080.000
Connectivity, Cyber & Trust TechnologiesCritical Technology10.8010.71 10.64 to 10.78−0.090.000
Force Generation & MobilisationNational Security13.3313.24 13.16 to 13.32−0.090.000
Joint Command, Projection & SustainmentNational Security8.678.58 8.51 to 8.65−0.090.000
Land PowerNational Security9.259.16 9.09 to 9.23−0.090.000
Cyber & Electromagnetic OperationsNational Security12.0011.91 11.83 to 11.98−0.090.000
Justice System & Fundamental RightsGovernance & Integrity15.2515.16 15.10 to 15.23−0.090.000
Regulatory Governance & Strategic ControlsGovernance & Integrity14.3314.24 14.17 to 14.31−0.090.000
Public Integrity & Anti-CorruptionGovernance & Integrity15.5015.41 15.35 to 15.48−0.090.000
Space, Aerospace & Defence InfrastructureStrategic Infrastructure5.675.57 5.49 to 5.66−0.100.000
National Resilience & Crisis ManagementGovernance & Integrity14.2014.10 14.02 to 14.18−0.100.000
Labour & EmploymentProduction & Innovation13.7513.65 13.50 to 13.81−0.100.000
Foundational EducationHuman Capital16.5016.39 16.30 to 16.48−0.110.000
Advanced EducationHuman Capital14.3314.22 14.13 to 14.31−0.110.000
Technical & Vocational SkillsHuman Capital13.0012.89 12.79 to 12.98−0.110.000
Digital & AI CompetenceHuman Capital16.5016.39 16.30 to 16.48−0.110.000
Lifelong Learning & ReskillingHuman Capital14.3314.22 14.13 to 14.31−0.110.000
Health System CapabilityHuman Capital14.0013.89 13.79 to 13.98−0.110.000
Research Talent & Knowledge CreationHuman Capital12.6712.55 12.46 to 12.65−0.120.000
Innovation & CommercialisationProduction & Innovation12.5012.38 12.24 to 12.52−0.120.000
Resource InfrastructureStrategic Infrastructure6.756.63 6.53 to 6.73−0.120.000
Advanced ManufacturingStrategic Infrastructure10.009.85 9.71 to 9.99−0.150.000
Information Environment & Strategic CommunicationInformation & Influence12.0011.85 11.71 to 11.98−0.150.000
Communications & Digital InfrastructureStrategic Infrastructure14.8614.70 14.57 to 14.83−0.160.000
Culture, Language & Education DiplomacyInformation & Influence8.408.24 8.12 to 8.37−0.160.000
Government Effectiveness & Public AdministrationGovernance & Integrity17.4017.24 17.11 to 17.37−0.160.000
Transport InfrastructureStrategic Infrastructure12.0011.83 11.69 to 11.97−0.170.000
Financial InfrastructureStrategic Infrastructure13.2513.08 12.95 to 13.22−0.170.000
Social InfrastructureStrategic Infrastructure13.9113.74 13.61 to 13.88−0.170.000
Financial Regulation & IntegrityFinancial Strength14.2514.08 13.94 to 14.22−0.170.000
Technology Adoption & DiffusionProduction & Innovation14.5014.33 14.19 to 14.47−0.170.000
Diaspora & Global CommunitiesInformation & Influence11.5011.32 11.18 to 11.46−0.180.000
Internal Security & OrderGovernance & Integrity14.6714.49 14.35 to 14.64−0.180.000
Financial System Depth & AccessFinancial Strength12.0011.82 11.67 to 11.96−0.180.000
Financial Stability & Crisis ManagementFinancial Strength13.6713.49 13.34 to 13.63−0.180.000
Industrial & Sectoral BaseProduction & Innovation11.5011.32 11.17 to 11.46−0.180.000
Business Dynamism & EntrepreneurshipProduction & Innovation14.7514.57 14.43 to 14.71−0.180.000
Alliances & Security CooperationInformation & Influence13.5013.31 13.16 to 13.46−0.190.000
Structural Transformation & ComplexityProduction & Innovation12.6712.48 12.34 to 12.63−0.190.000
Fiscal Capacity & Public FinanceFinancial Strength14.7514.55 14.24 to 14.86−0.200.000
Digital & Services TradeTrade & Investment14.0013.80 13.63 to 13.96−0.200.000
Investment Attraction & ProjectionTrade & Investment11.3311.13 10.95 to 11.30−0.200.000
Sovereign Capital & External Financial PowerFinancial Strength9.809.60 9.45 to 9.76−0.200.000
Trade Policy & Market AccessTrade & Investment13.5013.29 13.11 to 13.46−0.210.000
Early Childhood DevelopmentHuman Capital16.0015.78 15.60 to 15.96−0.220.000
Population HealthHuman Capital13.6713.44 13.26 to 13.62−0.230.000
Global Value Chain PositionTrade & Investment13.0012.77 12.59 to 12.95−0.230.000
Export Capability & SophisticationTrade & Investment11.6711.43 11.24 to 11.62−0.240.000
Energy InfrastructureStrategic Infrastructure8.888.57 8.33 to 8.82−0.310.000
Water, Sanitation & Waste InfrastructureStrategic Infrastructure11.8011.47 11.20 to 11.74−0.330.000
Diplomatic Statecraft & Global NetworksInformation & Influence10.009.67 9.37 to 9.96−0.330.000
Agriculture & Food InfrastructureStrategic Infrastructure11.5011.16 10.88 to 11.43−0.340.000
Monetary & Currency CapabilityFinancial Strength14.0013.63 13.33 to 13.93−0.370.000
Trade Facilitation & LogisticsTrade & Investment13.0012.59 12.25 to 12.92−0.410.000

The search

Capability index at 2030, against the greedy experiment with the same seeds.

Capability index, median
11.60
From 11.49 at the 2026 position; 11.46 to 11.73
Regret against greedy
−0.019
10th to 90th percentile −0.023 to −0.016
Seeds ahead of greedy
0%
of 2 seeds, at the horizon
Hesitation
38%
of decisions with the top two candidates within 10%
Objective
Capability index at the horizon (higher is better)
Search
40 iterations a decision; UCT c = 1.4, scaled to the reward spread; progressive widening α = 0.5; greedy playouts to the horizon
Candidates
Marginal return, Graph leverage, Goal gap, the top 4 groups each with every open mode, headline chunk large, plus the greedy bundle and hold; a mean of 24.8 candidates a decision
Playout futures
Drawn from the stochastic scenario with the search's own random stream, one future per playout
Greedy pair
The greedy experiment faces the same draws for the same seed
Versions
Search 0.1.0, candidate generators 0.1.0
Runtime
0.02 seconds a decision; trees of a mean 28 nodes to depth 2.2

Capability index by round

The median across the 2 simulations over the band from the 10th to the 90th percentile, with the greedy experiment's median as the dashed reference. Under the axis, the share of simulations a shock struck in each round.

shocks

Tree search, median and 10th to 90th percentileGreedy, median, same seeds

Regret against greedy

The search's objective minus greedy's, paired by seed (the same shocks and the same elasticities), by round: the median over the 10th-to-90th band. Positive is better for the search whatever the objective. This is the first chart to read: it says whether the search is doing anything.

At the horizon the search is −0.019 on average (median −0.019) and ahead of greedy in 0% of seeds.

Allocation stream

Credits spent on actions by round, stacked by domain or by mode, averaged over simulations: the strategy made visible. Headline actions and greedy's filling actions are counted together.

Tier ribbon

For each domain, the share of simulations in each tier by round. Tiers are Pareto layers within a domain against the frozen field.

  • Critical Technology2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 0% of simulations2026: Tier 4 or below in 100% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 0% of simulations2027: Tier 4 or below in 100% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 0% of simulations2028: Tier 4 or below in 100% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 0% of simulations2029: Tier 4 or below in 100% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 0% of simulations2030: Tier 4 or below in 100% of simulations
  • Strategic Infrastructure2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 0% of simulations2026: Tier 4 or below in 100% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 0% of simulations2027: Tier 4 or below in 100% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 0% of simulations2028: Tier 4 or below in 100% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 0% of simulations2029: Tier 4 or below in 100% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 0% of simulations2030: Tier 4 or below in 100% of simulations
  • National Security2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 0% of simulations2026: Tier 4 or below in 100% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 0% of simulations2027: Tier 4 or below in 100% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 0% of simulations2028: Tier 4 or below in 100% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 0% of simulations2029: Tier 4 or below in 100% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 0% of simulations2030: Tier 4 or below in 100% of simulations
  • Human Capital2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 100% of simulations2026: Tier 4 or below in 0% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 100% of simulations2027: Tier 4 or below in 0% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 100% of simulations2028: Tier 4 or below in 0% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 100% of simulations2029: Tier 4 or below in 0% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 100% of simulations2030: Tier 4 or below in 0% of simulations
  • Information & Influence2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 0% of simulations2026: Tier 4 or below in 100% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 0% of simulations2027: Tier 4 or below in 100% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 0% of simulations2028: Tier 4 or below in 100% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 0% of simulations2029: Tier 4 or below in 100% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 0% of simulations2030: Tier 4 or below in 100% of simulations
  • Governance & Integrity2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 100% of simulations2026: Tier 4 or below in 0% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 100% of simulations2027: Tier 4 or below in 0% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 50% of simulations2028: Tier 4 or below in 50% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 50% of simulations2029: Tier 4 or below in 50% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 50% of simulations2030: Tier 4 or below in 50% of simulations
  • Financial Strength2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 0% of simulations2026: Tier 4 or below in 100% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 0% of simulations2027: Tier 4 or below in 100% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 0% of simulations2028: Tier 4 or below in 100% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 0% of simulations2029: Tier 4 or below in 100% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 0% of simulations2030: Tier 4 or below in 100% of simulations
  • Production & Innovation2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 0% of simulations2026: Tier 4 or below in 100% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 0% of simulations2027: Tier 4 or below in 100% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 0% of simulations2028: Tier 4 or below in 100% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 0% of simulations2029: Tier 4 or below in 100% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 0% of simulations2030: Tier 4 or below in 100% of simulations
  • Trade & Investment2026: Tier 1 in 0% of simulations2026: Tier 2 in 0% of simulations2026: Tier 3 in 0% of simulations2026: Tier 4 or below in 100% of simulations2027: Tier 1 in 0% of simulations2027: Tier 2 in 0% of simulations2027: Tier 3 in 0% of simulations2027: Tier 4 or below in 100% of simulations2028: Tier 1 in 0% of simulations2028: Tier 2 in 0% of simulations2028: Tier 3 in 0% of simulations2028: Tier 4 or below in 100% of simulations2029: Tier 1 in 0% of simulations2029: Tier 2 in 0% of simulations2029: Tier 3 in 0% of simulations2029: Tier 4 or below in 100% of simulations2030: Tier 1 in 0% of simulations2030: Tier 2 in 0% of simulations2030: Tier 3 in 0% of simulations2030: Tier 4 or below in 100% of simulations

Tier 1Tier 2Tier 3Tier 4 or below2026 to 2030, left to right

Decision strip

One row per round of the representative simulation (seed 1, the simulation nearest the median at the horizon): the committed decision and its share of the root's visits, the runner-up, and the search's estimate. Hesitation marks the rounds where the top two candidates were within 10 per cent of each other.

The committed action of every year, with its visit share and the runner-up
YearCommittedVisit shareRunner-upCapability indexHesitation
2026Build Semiconductors & Advanced ComputingMR+GL+GG23%Buy Semiconductors & Advanced Computing 23%11.692within 10%
2027Buy Semiconductors & Advanced ComputingMR+GL+GG23%Greedy bundle 23%11.675within 10%
2028Partner Semiconductors & Advanced ComputingMR+GL+GG28%Partner Fiscal Capacity & Public Finance 25%11.701within 10%
2029Greedy bundle28%Partner Fiscal Capacity & Public Finance 20%11.755clear

Root decision

The candidates of one round of the representative simulation: bars by visits, colour by the search's mean estimate, a thin bar for the spread of rewards, and a tag for the proposing generators (MR marginal return, GL graph leverage, GG goal gap).

24 candidates, 7 expanded. Bar length: visits. Colour: mean capability index at the horizon, pale 11.236 to dark 11.692. Thin bar: spread of rewards.

  1. ●Build Semiconductors & Advanced ComputingMR+GL+GG9 · 11.692
  2. Buy Semiconductors & Advanced ComputingMR+GL+GG9 · 11.642
  3. Partner Fiscal Capacity & Public FinanceGL7 · 11.669
  4. Partner Semiconductors & Advanced ComputingMR+GL+GG6 · 11.546
  5. Hold4 · 11.577
  6. Build Fiscal Capacity & Public FinanceGL3 · 11.589
  7. Greedy bundle2 · 11.236
  8. Partner Nuclear DeterrenceGG0 · –
  9. Build Nuclear DeterrenceGG0 · –
  10. Partner Space TechnologiesMR+GL+GG0 · –
  11. Buy Space TechnologiesMR+GL+GG0 · –
  12. Build Space TechnologiesMR+GL+GG0 · –
  13. Buy Economic Output & ProductivityGL0 · –
  14. Build Economic Output & ProductivityGL0 · –
  15. Partner Economic Output & ProductivityGL0 · –
  16. Buy Artificial IntelligenceMR0 · –
  17. Partner Artificial IntelligenceMR0 · –
  18. Build Artificial IntelligenceMR0 · –
  19. Buy Development Cooperation & Global AssistanceMR0 · –
  20. Partner Development Cooperation & Global AssistanceMR0 · –
  21. Build Development Cooperation & Global AssistanceMR0 · –
  22. Buy Space OperationsGG0 · –
  23. Partner Space OperationsGG0 · –
  24. Build Space OperationsGG0 · –

The tree

The search tree of one round of the representative simulation, as an icicle: depth downward, width as visits, the principal variation (the most-visited path) outlined. Rest on a node for its action, visits and mean.

41 stored nodes to depth 3; nodes under half a per cent of the root's visits are merged into grey "other" blocks. Width: visits. The principal variation has the amber outline.

Start at depth 0: 40 visits, mean capability index 11.613.

How far the principal variation was then followed: 100% at depth 1, 50% at depth 2, 25% at depth 3.

Pathway overlay

The committed headline actions of the representative simulation drawn on the trajectories of the groups they touched (filled dots), with each round's two most-visited rejected alternatives drawn faint (hollow).

  • Committed moveRejected alternative

Position and horizon by domain

The nine domain means at the position and at the horizon (the median over simulations), with the greedy experiment's horizon as the reference. The same axes as the ratings deck.

StartSearch at the horizon (median over simulations)Greedy at the horizon

Attribution

From the counterfactual probes the harness runs on the first 1 seeds: the position, plus the worth of the five largest decisions (each removed in turn, the rest replayed), minus the cost of the three largest shocks, plus everything else, to the horizon. In capability index units.

  1. 20262026 11.487
  2. D12030 buy Semiconductors & Advanced Computing (12 credits) +0.0122
  3. D22030 buy Space Technologies (12 credits) +0.0092
  4. D32030 buy Development Cooperation & Global Assistance (12 credits) +0.0219
  5. D42030 buy Advanced Materials & Manufacturing (12 credits) +0.0127
  6. D52030 buy Economic Output & Productivity (12 credits) +0.0117
  7. OtherEverything else +0.2129
  8. 20302030 11.768

Fragility at the horizon

Groups of the representative simulation's end state within half a point of changing their domain's tier: half a point more lifts the domain a tier, or half a point less drops it.

  • Semiconductors & Advanced ComputingCritical Technology · 6.1 · Tier 6+0.5 lifts a tier
  • Communications & Digital InfrastructureStrategic Infrastructure · 14.9 · Tier 5+0.5 lifts a tier
  • Nuclear DeterrenceNational Security · 0.0 · Tier 6+0.5 lifts a tier
  • Foundational EducationHuman Capital · 16.5 · Tier 3+0.5 lifts a tier
  • Digital & AI CompetenceHuman Capital · 16.5 · Tier 3+0.5 lifts a tier
  • Government Effectiveness & Public AdministrationGovernance & Integrity · 17.4 · Tier 3−0.5 drops a tier
  • Fiscal Capacity & Public FinanceFinancial Strength · 14.9 · Tier 9+0.5 lifts a tier
  • Digital & Services TradeTrade & Investment · 14.0 · Tier 6−0.5 drops a tier

Stability across seeds

How often each root decision was committed in each round, across the 2 seeds. The same decision winning in most seeds means the search is finding something the shocks do not move; a flat spread means it is indifferent.

The most common root decision won in a mean 50% of seeds over all rounds, and 50% over the first five.

Report, with the search's section

Written from the simulation record by the loop's narrator, with the search's own section at the end. Every figure names the query it came from, in square brackets.

Batch cmaes-dev. Model 0.2.0, graph 0.2.0, parameters 0.1.1. 2 simulations, seeds 1 to 2; probes on 1. Every figure is a distribution over simulations of a structural model with seed parameter values; it shows what the model implies under these settings, not what will happen. Other nations are frozen at their 2026 ratings. No reconstructed historical data is used in this experiment.

Headline

Estonia played 4 rounds from 2026 under the tree search (mcts) method, with stochastic events, 2 times. Its capability index moved from 11.49 to a median of 11.60 (+0.11), with 90 per cent of simulations between 11.44 and 11.75 [experiment_objectives].

Starting position

In 2026 the nation ranks 33 on the index against the frozen field, holds 0 of nine domains at Tier 1 and has a tier rank of 27. Its base income is 390 credits a year, calibrated so that its 2026 position is affordable with headroom for investment.

What was decided

A simulation spent a median of 235 credits on actions. The five groups that took most were Space Technologies (partner, 35 credits, 15.0 per cent); Artificial Intelligence (buy, 35 credits, 15.0 per cent); Development Cooperation & Global Assistance (buy, 24 credits, 10.0 per cent); Advanced Materials & Manufacturing (buy, 23 credits, 10.0 per cent); Economic Output & Productivity (buy, 23 credits, 10.0 per cent) [experiment_decisions_by_group]. By mode: buy 73 per cent, partner 20 per cent, build 7 per cent [experiment_decisions_by_group]. Concentration of spending (HHI) had a median of 0.145, and the most repeated action appeared in 75 per cent of rounds.

The leading domain by period: rounds 1 to 5, Critical Technology [experiment_spend_by_period].

The method's chosen action was within 5 per cent of its best alternative in 94 per cent of actions and ahead by more than 25 per cent in 0 per cent [experiment_decision_margins].

What the world did

A median simulation saw 0 shocks and 0 upside events. The most damaging per firing were S06 (1 firings in 1 simulations, −21.6 points each) [experiment_shocks].

The groups that lost most to shocks, per simulation: Trade Facilitation & Logistics −0.41; Diplomatic Statecraft & Global Networks −0.36; Monetary & Currency Capability −0.35; Fiscal Capacity & Public Finance −0.34 [experiment_shock_damage_by_group].

The edges that carried most change through the graph, per simulation: Semiconductors & Advanced Computing to Artificial Intelligence (+0.49 points); Artificial Intelligence to Robotics & Autonomous Systems (+0.21 points); Semiconductors & Advanced Computing to Economic Leverage & Dependence (+0.20 points) [experiment_propagation_by_edge].

Where it ended

At 2030 the median rank is 32 (5th to 95th percentile 30 to 34), the median count of Tier 1 domains 0 (0 to 0) and the median tier rank 28; the resilient score, the mean score sum over simulations, is 829 [experiment_objectives].

Why

Without shocks the index ends 0.000 higher on average, so the shocks cost about 0.000 index points [experiment_probe_attribution].

Holding instead of following this method changes the index by −0.281: that is the method's worth against doing nothing [experiment_probe_attribution].

Removing any single one of the five largest actions changes the index by between −0.022 and −0.009, for example 2030 buy Semiconductors & Advanced Computing (12 credits) [experiment_probe_attribution]. The largest actions by credits come late, when income is highest, and are rarely the most valuable.

The replay probe reproduces the simulations exactly (index change 0.000000), so the attributions are clean [experiment_probe_attribution].

Surprises

same_action (warn): the most repeated action (group and mode) appears in a median 75% of rounds.

The simulation furthest from the median (seed 1) ends +0.17 from it, with 0 shocks and 0 upside events [experiment_outlier_simulations].

Comparison

This is the baseline (hold) experiment, or there is none for this nation in the batch.

No backcast comparison: this experiment does not start from a historical position [experiment_against_history].

The search

Monte Carlo tree search 0.1.0 with candidate generators 0.1.0 (marginal return, graph leverage, goal gap; top 4 groups each), 40 iterations a decision, UCT c = 1.4 scaled to the reward spread, widening alpha = 0.5, greedy playouts to the horizon, objective index; playouts drew their futures from the stochastic scenario.

The committed decision most often chosen, round by round: round 1 build Semiconductors & Advanced Computing (50 per cent of simulations, visit share 24 per cent); round 2 buy Semiconductors & Advanced Computing (50 per cent of simulations, visit share 26 per cent); round 3 build Semiconductors & Advanced Computing (50 per cent of simulations, visit share 28 per cent); round 4 build Semiconductors & Advanced Computing (50 per cent of simulations, visit share 25 per cent) [mcts_decision_sequence]. The search hesitated (top two root candidates within 10 per cent) in 38 per cent of decisions, considered a mean of 25 candidates, grew trees of a mean 28 nodes to depth 2.2, and took 0.0 seconds a decision [mcts_decision_sequence].

Where the committed actions came from, by proposing generator (committed simulation-rounds): marginal return + graph leverage + goal gap 2.0; greedy 1.0; marginal return + graph leverage + goal gap | marginal return + graph leverage 1.0; goal gap 0.0; graph leverage 0.0 [mcts_root_candidates].

Against the greedy experiment with the same seeds (dev-est-greedy), the search's index at the horizon is −0.020 on average (10th to 90th percentile −0.023 to −0.016), better in 0 per cent of seeds; on the index −0.020, the score sum −1.7 and Tier 1 domains 0.00 [mcts_regret].

Across seeds the same root decision won in a mean 50 per cent of simulations (first five rounds 50 per cent) [mcts_stability].

The principal variation was followed 100 per cent at depth 1, 50 per cent at depth 2, 25 per cent at depth 3 [mcts_pv_vs_path].

Checks, with the search's own

The automated checks, the standard ones and the search's own: the search completed its iterations, the root visit shares sum to one, the committed decision is the most visited, the regret is finite, and a warning when the search was indifferent in most rounds.

  • passcredits_conservedlargest gap between credits in and credits accounted for: 5.7e-14
  • passscores_in_boundsscores range 0.000 to 17.400
  • passno_nans0 missing values in the trajectory and objectives
  • passprobe_replay_reproducesthe recorded actions played back reproduce the simulation to within 0.0e+00 points (1 simulations)
  • passledger_balancesthe edge ledger sums to the propagated change to within 3.0e-08 points
  • passmove_without_shocklargest one-round change in a group with no shock landing: 1.47 points; 0% of simulations have one above 3
  • passtier_jumplargest gain in one domain within five years: 0 tiers (0 simulations above 2); tiers are reported, not an objective
  • passall_tier1_from_outside_top10starting rank 33; 0 simulations reach Tier 1 in all nine domains
  • passsaturation_high0% of simulations end with a group at 20 that did not start there (median 0 groups)
  • passsaturation_low0% of simulations end with a group at 0 that did not start there (median 0 groups)
  • passspend_concentrationmedian concentration of spending across groups (HHI) 0.145; most funded group hard.critical_technology.semiconductors_and_advanced_computing
  • warnsame_actionthe most repeated action (group and mode) appears in a median 75% of rounds
  • passsearch_complete0 of 8 decisions ran other than the configured 40 iterations; mean search time 0.02 s a decision
  • passvisit_shares_sumlargest gap of the root visit shares from one: 0.0e+00
  • passcommitted_most_visited0 decisions committed an action other than the most-visited root child
  • passindifferent_searchin a median simulation the top two root candidates were within 5 per cent of visits in 25 per cent of rounds
  • passregret_finite0 non-finite regret values over 5 years paired with dev-est-greedy (2 seeds)

Settings and versions

Experiment cmaes-dev.dev-est-mcts-index. Every simulation records the model, graph and parameter versions, the scenario, the method and its seed, so it can be reproduced exactly.

Nation
Estonia (EST)
Position
The 2026 ratings of the National Capability Index
Method
Tree search (MCTS). Each round, a Monte Carlo tree search over candidate decisions, played out to the horizon, commits the decision with the most visits.
Scenario
The shock and upside library, drawn at random each round
Objective
Capability index, the primary objective the experiment is judged on; every other objective is reported beside it
Horizon
4 rounds, 2026 to 2030
Simulations
2 seeds, 1 to 2. Every method in the batch faces the same draws for the same seed.
Graph elasticities
Drawn for each simulation, uniformly within each edge’s bracket
Income
Base credits 390.4 a round, moving with the economic groups
Versions
Model 0.2.0, Capability Dependency Graph 0.2.0, parameters 0.1.1
Batch
CMA-ES development batch (cmaes-dev)
Runtime
0.5 seconds in all; 26222 microseconds a round
Not a forecast
Every figure is a distribution over the simulations of a structural model, reported to compare methods and test the model. None is a prediction of what a nation will do or become.
Structural parameters
Costs, decay, vulnerability and credits are structural seed values with low or medium confidence, set by domain with single-group exceptions. Five groups have no defensible value in a single-nation model and are flagged in the parameter tables.
Other nations are frozen
One nation is simulated at a time. Every other nation stays at its 2026 rating, so rank and tiers are measured against a still field; where the simulated nation rises past others their own tiers are not re-sorted.
Starting depth and mode are defaults
The position is the National Capability Index ratings. How institutionalised each capability is, and how much was built, bought or partnered, have no data behind them yet and start from structural defaults.
Credits are calibrated, not measured
Each nation’s income is set so that its position is affordable with headroom that rises with its fiscal capacity. It is not yet fiscal capacity as a share of GDP.