Editing Evolutionary Game Theory (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'The Hawk-Dove Game' (Finding the ESS):'''
<syntaxhighlight lang="python">
def simulate_generation(p_hawks, v=50, c=100):
    """
    V = Value of resource, C = Cost of injury
    Shows how hawk/dove frequencies change.
    """
    p_doves = 1 - p_hawks
    
    # Payoff Matrix:
    # Hawk vs Hawk: (V-C)/2
    # Hawk vs Dove: V
    # Dove vs Hawk: 0
    # Dove vs Dove: V/2
    
    fitness_hawk = p_hawks * ((v-c)/2) + p_doves * v
    fitness_dove = p_hawks * 0 + p_doves * (v/2)
    
    # If Hawk fitness is higher, p_hawks grows in next gen
    return {
        "Hawk Fitness": fitness_hawk,
        "Dove Fitness": fitness_dove,
        "Trend": "More Hawks" if fitness_hawk > fitness_dove else "More Doves"
    }

# If Hawks are rare (10%):
print(f"Rare Hawks: {simulate_generation(0.1)}")
# If Hawks are common (90%):
print(f"Common Hawks: {simulate_generation(0.9)}")
# The ESS is where Hawk Fitness == Dove Fitness.
</syntaxhighlight>

; Evolutionary Landmarks
: '''The Evolution of Cooperation (1981)''' → Robert Axelrod's tournament that proved "Tit-for-Tat" is the most successful long-term strategy in a competitive world.
: '''The Selfish Gene (1976)''' → Richard Dawkins's book that popularized the idea that "Genes," not "Individuals," are the true players in the game of life.
: '''Bacterial 'Cheating'''' → Scientists have seen bacteria "Evolve" to be selfish, but then "Evolve" to cooperate again when the selfish ones kill the whole colony.
: '''Human Fairness''' → Evolutionary game theory explains why humans have an "Instinct" for fairness—it's a strategy that helped our ancestors survive in small tribes.
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