Discover published sets by community

A method of fairly distributing the total gains to all players in the cooperative game based on their marginal contributions. The Shapley value has a unique set of axioms characterizing its fairness.

A situation in cooperative games where a utility (or payoff) can be transferred from one player to another without loss, such that the sum of utilities remains the same.

A function $v: 2^N \rightarrow \mathbb{R}$ in cooperative games that assigns a value to each coalition, indicating the amount of payoff the coalition can obtain by itself.

A cooperative game scenario where a specific payoff must be divided among players who have different views on how it should be distributed, aiming for a fair and mutually agreeable solution.

A solution to the bargaining problem that maximizes the product of the players' utilities, assuming that each player's utility function is known and that they will not accept less than a certain threshold.

A group of players in a cooperative game who agree to work together and often share the payoff that arises from such cooperation.

A concept in cooperative games indicating a set of allocations where no coalition would be better off by deviating and forming their own group. Mathematically, for any coalition $S$, the sum of individual payoffs within $S$ is at least as large as $v(S)$.

Transfers of utility (commonly in the form of currency) that can be made between players in a cooperative game to facilitate the formation of coalitions and agreements.

A scenario in game theory where players work together to achieve a common goal and may form coalitions. The focus is on what can be achieved together rather than individual goals.