In forming coalitions {coalition}, player power to affect outcome, including making coalitions, is the most-important factor. Player must gain equal or more value by being in coalition, or else player does not join group. Acceptable outcome requires Pareto optimum.
symmetry
All players can have same role {symmetric game}.
communication
Outcomes {discriminatory solution} can give less than fair share to outsider and keep rest for coalition, which typically happens when games allow communication.
set
Typically, each possible outcome dominates another outcome, and outcomes are intransitive, so no outcome dominates all others. Typically, many undominated outcomes result {imputation}.
An outcome {effective set} can dominate if players get more when in coalitions, and coalitions can form.
set: stability
Typically, at least one outcome in current set dominates all new outcomes, making pressure to stay in current set. If gains are large and number of people is large, stability is low.
Mathematical Sciences>Game Theory>Coalition
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Date Modified: 2022.0224