Reasoning About Power in Games
Updated 2026-09-10
INTRODUCTION
English translation pending.
CORE DEFINITION
The entry discusses expressing and analyzing the formal properties of power in games with mathematical languages, here called logics, classified by their ability to express game-relevant concepts, with a focus on the strategies and preferences of individuals and groups in cooperative and non-cooperative normal form games. Power is captured by whether a coalition can force the outcome into a given set.
SCAFFOLDING EFFECT
Reduce cognitive load
- Identify power: decide influence by asking whether a coalition can force the outcome into a given set. - Analyze coalitions: compare one by one the strategic means available to each group. - Reason about bargaining: predict who holds a credible threat or commitment in a multi-party game.
Anchor fast decisions
Power is understood as a group's ability to change the outcome through its available strategies: a coalition has power over a set of outcomes if some combination of its strategies makes the outcome fall in that set no matter what others do. A formal language encodes can force into a modal operator, adds preferences and choice structures, and quantifies over coalitions to compare their power.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- plato.stanford.eduhttps://plato.stanford.edu/entries/logic-power-games/verified
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