2026-07-30 18:57:10 +02:00

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# When does the uncle window W fail? At a FIXED single uncle (U=1), sweep the reference window W
# against the block-visibility delay. An uncle can only reference an orphan whose slot is within W
# of the referencing block; larger delay spreads the orphans over a wider slot range, so a small W
# can no longer reach them and the stake estimate stays low. This finds the (W, delay) relation.
# Transport is the natural geographic latency (link_latency_dist: geo), as in the prior runs; the
# delay that stresses W is the Blend mixnet per-hop mixing (blend_delay_max).
# Latency is in SLOTS (1 slot = 1 s). Sweep axes (cartesian product x replicates).
n_nodes: [1000, 2000] # network sizes to compare
stake_dist: [pareto] # heavy-tailed (realistic) stake distribution
topology: [blend] # Blend mixnet (multi-slot delay stresses W)
degree: [6] # peering degree of the d-regular graph
link_latency_mean: [0.5] # natural geographic transport (sub-slot)
link_latency_dist: [geo] # real-world geographic band mixture
blend_hops: [3] # fixed hop count; delay is the swept knob
blend_delay_max: [2.0, 4.0, 8.0, 16.0, 32.0] # max per-relay mixing delay (slots) = the delay
uncle_window: [10, 15, 20, 25, 30, 35, 50, 100, 200, 300] # W: reference window (slots) to sweep
max_uncles: [1] # FIXED at one uncle (the question is about W)
uncle_strategy: [oldest] # uncle selection: oldest-first fill
init_dest: [common] # per-node initial D_est from agreement
replicates: 10 # independent RNG replicates per grid cell
base: # per-run settings shared by every cell
k: 2160 # true security parameter
epochs: 20 # equilibrium reached within ~2 epochs; burn 50%
f: 0.03333333333333333 # slot activation coefficient (1/30)
genesis_d_factor: 0.5 # start near true stake (cheap epoch 0)
early_stop: true