Editing Nash Equilibrium (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'The Prisoner's Dilemma' (Calculating the Nash outcome):'''
<syntaxhighlight lang="python">
def solve_prisoners_dilemma(player1_choice, player2_choice):
    """
    Payoffs: (P1, P2)
    Silent (S), Betray (B)
    """
    # Matrix: (Stay Silent, Stay Silent) = (3, 3)
    # Matrix: (Betray, Betray) = (1, 1)
    # Matrix: (Betray, Silent) = (5, 0)
    # Matrix: (Silent, Betray) = (0, 5)
    
    matrix = {
        ('S', 'S'): (3, 3),
        ('B', 'B'): (1, 1),
        ('B', 'S'): (5, 0),
        ('S', 'B'): (0, 5)
    }
    
    return matrix[(player1_choice, player2_choice)]

# Why 'Betray' is the Nash Equilibrium:
# If P2 stays silent, P1 gets 5 for betraying vs 3 for silent.
# If P2 betrays, P1 gets 1 for betraying vs 0 for silent.
# In BOTH cases, 'B' is better for P1. This is a Dominant Strategy.
print(f"Outcome (Both Betray): {solve_prisoners_dilemma('B', 'B')}")
</syntaxhighlight>

; Strategic Landmarks
: '''A Beautiful Mind''' → The book/movie about John Nash that popularized the concept of "The Nash Equilibrium" (though the "Bar Scene" in the movie is actually technically inaccurate!).
: '''Nuclear Deterrence (MAD)''' → The Cold War was a Nash Equilibrium: neither side could launch a first strike without being destroyed in return, so the stable outcome was "No one launches."
: '''Traffic Jams''' → Why we all take the "Shortcut," which then becomes slower than the main road. That slowdown is a Nash Equilibrium.
: '''E-Commerce Price Wars''' → Why bots on Amazon keep lowering prices by 1 cent until they both hit a "Floor" where they make zero profit.
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