world-extractable-value

World Extractable Value quantifies the inefficiency gap between selfish Nash equilibria and optimal outcomes using the formula WEV = C_Nash - C_Opt. It integrates free energy bounds and Price of Anarchy to measure exploitable value in parallel worlds within Paradigm's Multiverse Finance framework.

Price of Anarchy (PoA) measures inefficiency ratio; free energy bounds this inefficiency. WEV links them via PoA = 1 + (gap / C_Opt), enabling quantification of extractable value and decision support across Nash versus Optimal outcomes in GF(3)-balanced systems.

Yes, the Skill supports multi-implementation compatibility across Babashka, Julia, and DuckDB. Compute WEV, PoA, free energy, and action direction outputs for GF(3) triplets and Markov-blanket arbitrage within your preferred runtime environment.

Markov blankets partition states into sensory, active, and internal roles to isolate decision boundaries. GF(3)-balanced triplets ensure conservation laws, enabling precise calculation of extractable inefficiency across world transition graphs in open game frameworks.

WEV analysis outputs include wev, poa, gap, free_energy, action_direction, and pct_extractable metrics. These quantify inefficiency magnitude, directional guidance for exploitation, and the percentage of extractable value available from parallel Nash and Optimal equilibria.

Apply Markov-blanket arbitrage when comparing selfish versus cooperative equilibria across multiple outcomes and need to bound extractable value. Use it for inefficiency detection in graph-structured decision spaces where free energy and PoA relationships drive value identification.