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Cooperative game theory

Resilience Coalition Game

Melbourne, Sydney and Brisbane retailers can share emergency inventory, transport capacity and disruption intelligence. Build a coalition, divide the value and test whether the deal survives when any member can walk away.

1 · Read the disruptionEach scenario changes which partnerships create the most value.
2 · Form a coalitionChoose a pair, the grand coalition or no collaboration.
3 · Divide the gainCompare equal, volume-based, negotiated and Shapley allocations.
4 · Test the coreA deal is stable only when no subgroup can do better by leaving.

Australian capacity-sharing network

Active lanes and moving capacity tokens reflect the coalition you selected.

Round 1 · negotiate
1 / 8Negotiation round
$0mCoalition value
PendingCore stability
0Resilience score

Allocated value

Round log

  • Ready. Propose the first deal.

Characteristic function v(S)

Coalition SValue v(S)Allocated to SWould defect?

Marginal-contribution logic

Fair is not always stable

The Shapley value is efficient, symmetric and rewards contribution. It lies in the core only for some games. Compare its fairness with each subgroup’s outside option.

Instructor lens

Ask each city to argue for a larger share. Then reveal Shapley: a city earns more when its capacity is scarce and its marginal contribution is high - not simply because it is large.

Decision signal

The grand coalition maximises total resilience only when its allocation keeps every member and every pair from defecting.

About this game

The concept

Cooperative game theory studies what groups can achieve and how jointly created value should be allocated.

Shapley and the core

Shapley rewards average marginal contribution. The core checks stability: no coalition should prefer its own value to the allocation it receives.

Supply-chain insight

Shared capacity creates synergy, but a technically superior network fails if commercial incentives make a partner defect.