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41 relations: Academic Press, Ariel Rubinstein, Bondareva–Shapley theorem, Boolean function, Cambridge University Press, Combinatorial optimization, Consensus decision-making, Contract, Coordination game, Core (game theory), Dictator game, Disjoint sets, Elsevier, Extreme point, Game theory, Greedy algorithm, Hedonic game, Howard Raiffa, Hypergraph, Imputation (game theory), Intra-household bargaining, John Harsanyi, Lloyd Shapley, Matroid, Möbius transformation, Nakamura number, Nash equilibrium, Non-cooperative game theory, Non-credible threat, Opportunity cost, Permutation, Power set, Princeton University Press, R. Duncan Luce, Self-enforcing agreement, Shapley value, Submodular set function, Superadditivity, Supermodular function, Theory of Games and Economic Behavior, Transactions of the American Mathematical Society.
Academic Press
Academic Press is an academic book publisher.
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Ariel Rubinstein
Ariel Rubinstein (Hebrew: אריאל רובינשטיין) (born April 13, 1951) is an Israeli economist who works in Economic Theory, Game Theory and Bounded Rationality.
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Bondareva–Shapley theorem
The Bondareva–Shapley theorem, in game theory, describes a necessary and sufficient condition for the non-emptiness of the core of a cooperative game in characteristic function form.
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Boolean function
In mathematics and logic, a (finitary) Boolean function (or switching function) is a function of the form ƒ: Bk → B, where B.
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Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
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Combinatorial optimization
In applied mathematics and theoretical computer science, combinatorial optimization is a topic that consists of finding an optimal object from a finite set of objects.
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Consensus decision-making
Consensus decision-making is a group decision-making process in which group members develop, and agree to support a decision in the best interest of the whole.
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Contract
A contract is a promise or set of promises that are legally enforceable and, if violated, allow the injured party access to legal remedies.
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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.
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Core (game theory)
In game theory, the core is the set of feasible allocations that cannot be improved upon by a subset (a coalition) of the economy's agents.
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Dictator game
The dictator game is a popular experimental instrument in psychology and economics, a derivative of the ultimatum game.
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Disjoint sets
In mathematics, two sets are said to be disjoint sets if they have no element in common.
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Elsevier
Elsevier is an information and analytics company and one of the world's major providers of scientific, technical, and medical information.
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Extreme point
In mathematics, an extreme point of a convex set S in a real vector space is a point in S which does not lie in any open line segment joining two points of S. Intuitively, an extreme point is a "vertex" of S.
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Game theory
Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers".
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Greedy algorithm
A greedy algorithm is an algorithmic paradigm that follows the problem solving heuristic of making the locally optimal choice at each stage with the intent of finding a global optimum.
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Hedonic game
In cooperative game theory, a hedonic game Haris Aziz and Rahul Savani, "Hedonic Games".
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Howard Raiffa
Howard Raiffa (January 24, 1924 – July 8, 2016) was an American academic who was the Frank P. Ramsey Professor (Emeritus) of Managerial Economics, a joint chair held by the Business School and the Kennedy School of Government at Harvard University.
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Hypergraph
In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices.
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Imputation (game theory)
In fully cooperative games players act efficiently when they form a single coalition, the grand coalition.
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Intra-household bargaining
Intra-household bargaining refers to negotiations that occur between members of a household in order to arrive at decisions regarding the household unit, like whether to spend or save, whether to study or work.
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John Harsanyi
John Charles Harsanyi (Harsányi János Károly; May 29, 1920 – August 9, 2000) was a Hungarian-American economist.
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Lloyd Shapley
Lloyd Stowell Shapley (June 2, 1923 – March 12, 2016) was an American mathematician and Nobel Prize-winning economist.
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Matroid
In combinatorics, a branch of mathematics, a matroid is a structure that abstracts and generalizes the notion of linear independence in vector spaces.
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Möbius transformation
In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − bc ≠ 0.
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Nakamura number
In cooperative game theory and social choice theory, the Nakamura number measures the degree of rationality of preference aggregation rules (collective decision rules), such as voting rules.
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Nash equilibrium
In game theory, the Nash equilibrium, named after American mathematician John Forbes Nash Jr., is a solution concept of a non-cooperative game involving two or more players in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy.
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Non-cooperative game theory
In game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called "coalitions") are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games.
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Non-credible threat
A non-credible threat is a term used in game theory and economics to describe a threat in a sequential game that a rational player would actually not carry out, because it would not be in his best interest to do so.
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Opportunity cost
In microeconomic theory, the opportunity cost, also known as alternative cost, is the value (not a benefit) of the choice in terms of the best alternative while making a decision.
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Permutation
In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.
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Power set
In mathematics, the power set (or powerset) of any set is the set of all subsets of, including the empty set and itself, variously denoted as, 𝒫(), ℘() (using the "Weierstrass p"),,, or, identifying the powerset of with the set of all functions from to a given set of two elements,.
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Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University.
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R. Duncan Luce
Robert Duncan Luce (May 16, 1925 – August 11, 2012) was an American mathematician and social scientist, and one of the most preeminent figures in the field of mathematical psychology.
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Self-enforcing agreement
A self-enforcing agreement is an agreement or contract between two parties that is enforced only by those two parties; a third party cannot enforce or interfere with the agreement.
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Shapley value
The Shapley value is a solution concept in cooperative game theory.
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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.
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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.
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Supermodular function
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.
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Theory of Games and Economic Behavior
Theory of Games and Economic Behavior, published in 1944 by Princeton University Press, is a book by mathematician John von Neumann and economist Oskar Morgenstern which is considered the groundbreaking text that created the interdisciplinary research field of game theory.
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Transactions of the American Mathematical Society
The Transactions of the American Mathematical Society is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society.
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Characteristic function game, Co-operative games, Co-operative games theory, Coalition formation, Convex cooperative games, Convex games, Cooperative game, Cooperative games, Shapley vector, Von Neumann-Morgenstern solution, Von Neumann-Morgenstern stable sets.
References
[1] https://en.wikipedia.org/wiki/Cooperative_game_theory
