Strategic Decision Simulatorσᵢ* ∈ arg max σᵢ∈Δ(Sᵢ) uᵢ(σᵢ, σ₋ᵢ*) ∀iV*(s) = maxₐ∈A 𝔼[R(s,a,s′) + γV*(s′)]∇f(x*) + Σⱼ λⱼ∇gⱼ(x*) = 0 · λⱼgⱼ(x*) = 0The future emerges from actions and reactions.The future emerges from actions and reactions.The future emerges from actions and reactions.
Equilibrium Lab models how one move can reshape the entire field of possibilities.Equilibrium Lab models how one move can reshape the entire field of possibilities.Equilibrium Lab models how one move can reshape the entire field of possibilities.
uᵢ(sᵢ*, s₋ᵢ*) ≥ uᵢ(sᵢ, s₋ᵢ*) ∀sᵢ ∈ Sᵢ, ∀iWhen interests collide, the game begins.
xₙ₊₁ = r xₙ(1 − xₙ)Chaos is where losing begins.
V*(s) = maxₐ 𝔼[r(s,a) + γV*(s′)]Control the game. Control your future.