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07/26/2026
07/21/2026

=== Nash + Shor's Algorithm Demonstration ===

=== Nash Game for Shor's Parameters ===
Player 1 Payoff (Success):
[[0.55 0.8 ]
[0.7 0.92]]
Player 2 Payoff (Cost efficiency):
[[0.65 0.4 ]
[0.5 0.75]]

Pure Nash Equilibria found: [(1, 1, 0.92, 0.75)]
Recommended equilibrium strategy: P1 strat 1, P2 strat 1
Approximate mixed strategy probs: (0, 1)

==================================================
Running Shor's on a small composite number (N=15)...
Trial 1: Chosen base a = 4
Successfully factored 15 = 3 × 5

Note: This is a classical simulation. Real Shor's uses quantum period finding (QFT).
Nash equilibrium guides stable strategy selection for parameters like 'a' and trial count.

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