The Core

The core comprises all distributions of values that are rational for the coalition parties. This means that accepting value distribution is beneficial for all participants in a coalition.

Option A

For example, three single apartments.

Cost for A Cost for B Cost for C

Option B

For example, one single apartment and one shared apartment.

Shared cost between two parties

Option C

For example, three students sharing one apartment.

Shared cost between three parties

Step 1: Calculate cost savings for every coalition.

Option A:

Option B:

Option C:

Step 2: Check Blockade through Option B.

Step 3: Check Blockade through Option A.

Step 4: Check for Pareto optimality

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The Core

The Core

Option A

Option B

Option C

Step 1: Calculate cost savings for every coalition.

Option A:

Option B:

Option C:

Step 2: Check Blockade through Option B.

Step 3: Check Blockade through Option A.

Step 4: Check for Pareto optimality

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