7 relations: Fair random assignment, Hervé Moulin, Pareto efficiency, Picking sequence, Random permutation, Strategyproofness, Von Neumann–Morgenstern utility theorem.
Fair random assignment
Fair random assignment is a kind of a fair division problem.
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Hervé Moulin
Hervé Moulin FRSE (born 1950 in Paris) is a French mathematician who is the Donald J. Robertson Chair of Economics at the Adam Smith Business School at the University of Glasgow.
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Pareto efficiency
Pareto efficiency or Pareto optimality is a state of allocation of resources from which it is impossible to reallocate so as to make any one individual or preference criterion better off without making at least one individual or preference criterion worse off.
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Picking sequence
A picking sequence is a protocol for fair item assignment.
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Random permutation
A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable.
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Strategyproofness
In game theory, an asymmetric game where players have private information is said to be strategyproof (SP) if it is a weakly-dominant strategy for every player to reveal his/her private information, i.e. you fare best or at least not worse by being truthful, regardless of what the others do.
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Von Neumann–Morgenstern utility theorem
In decision theory, the von Neumann-Morgenstern utility theorem shows that, under certain axioms of rational behavior, a decision-maker faced with risky (probabilistic) outcomes of different choices will behave as if he or she is maximizing the expected value of some function defined over the potential outcomes at some specified point in the future.
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References
[1] https://en.wikipedia.org/wiki/Random_serial_dictatorship