Editing Cooperative Game Theory (section)

== <span style="color: #FFFFFF;">Applying</span> ==
'''Modeling 'The Shapley Value' (Splitting a reward fairly):'''
<syntaxhighlight lang="python">
def calculate_shapley_simplified(val_a, val_b, val_ab):
    """
    How much should A and B get?
    A's value = Average of (A alone) and (Team - B's contribution)
    """
    # A joins first: adds val_a
    # B joins first: A adds (val_ab - val_b)
    shapley_a = (val_a + (val_ab - val_b)) / 2
    shapley_b = (val_b + (val_ab - val_a)) / 2
    
    return {"A": shapley_a, "B": shapley_b}

# Alice makes $10. Bob makes $10. Together they make $50.
# Without Bob, Alice only adds $10. With Bob, she adds $40 ($50-$10).
# Shapley: (10 + 40) / 2 = $25 each.
print(calculate_shapley_simplified(10, 10, 50))
</syntaxhighlight>

; Cooperative Landmarks
: '''The Shapley Value (1953)''' → The most famous formula in the field, now used to decide everything from "Who pays for a shared runway" to "How to rank the importance of different genes."
: '''Gale-Shapley Algorithm''' → Used to match medical students to hospitals and kidneys to patients in a way that is "Stable" (no two people would prefer to be matched with each other instead).
: '''The EU Voting Power''' → Using game theory to calculate how much "Say" each country has in the European Union based on their population.
: '''Carbon Credit Allocations''' → Deciding how many "Pollution Rights" each company deserves based on their historical output and their efforts to clean up.
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