Cooperative game theory and Supermodular function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Cooperative game theory and Supermodular function

Cooperative game theory vs. Supermodular function

In game theory, a cooperative game (or coalitional game) is a game with competition between groups of players ("coalitions") due to the possibility of external enforcement of cooperative behavior (e.g. through contract law). In mathematics, a function is supermodular if f(x \uparrow y) + f(x \downarrow y) \geq f(x) + f(y) for all x, y \isin \mathbb^, where x \uparrow y denotes the componentwise maximum and x \downarrow y the componentwise minimum of x and y. If −f is supermodular then f is called submodular, and if the inequality is changed to an equality the function is modular.

Similarities between Cooperative game theory and Supermodular function

Cooperative game theory and Supermodular function have 3 things in common (in Unionpedia): Coordination game, Submodular set function, Superadditivity.

Coordination game

In game theory, coordination games are a class of games with multiple pure strategy Nash equilibria in which players choose the same or corresponding strategies.

Cooperative game theory and Coordination game · Coordination game and Supermodular function · See more »

Submodular set function

In mathematics, a submodular set function (also known as a submodular function) is a set function whose value, informally, has the property that the difference in the incremental value of the function that a single element makes when added to an input set decreases as the size of the input set increases.

Cooperative game theory and Submodular set function · Submodular set function and Supermodular function · See more »

Superadditivity

In mathematics, a sequence, n ≥ 1, is called superadditive if it satisfies the inequality for all m and n. The major reason for the use of superadditive sequences is the following lemma due to Michael Fekete.

Cooperative game theory and Superadditivity · Superadditivity and Supermodular function · See more »

The list above answers the following questions

What Cooperative game theory and Supermodular function have in common
What are the similarities between Cooperative game theory and Supermodular function

Cooperative game theory and Supermodular function Comparison

Cooperative game theory has 41 relations, while Supermodular function has 19. As they have in common 3, the Jaccard index is 5.00% = 3 / (41 + 19).

References

This article shows the relationship between Cooperative game theory and Supermodular function. To access each article from which the information was extracted, please visit:

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