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Fair division is the problem in game theory of dividing a set of resources among several people who have an entitlement to them so that each person receives their due share. . That problem arises in various real-world settings such as division of inheritance, partnership dissolutions, divorce settlements, electronic frequency allocation, airport traffic management, and exploitation of Earth ...
The research in strategic fair division has two main branches. One branch is related to game theory and studies the equilibria in games created by fair division algorithms: The Nash equilibrium of the Dubins-Spanier moving-knife protocol; [2] The Nash equilibrium and subgame-perfect equilibrium of generalized-cut-and-choose protocols; [3]
Steven J. Brams (born November 28, 1940, in Concord, New Hampshire) is an American game theorist and political scientist at the New York University Department of Politics. . Brams is best known for using the techniques of game theory, public choice theory, and social choice theory to analyze voting systems and fair divi
In the mathematics of social science, and especially game theory, a moving-knife procedure is a type of solution to the fair division problem. The canonical example is the division of a cake using a knife.
In mathematics and especially game theory, the airport problem is a type of fair division problem in which it is decided how to distribute the cost of an airport runway among different players who need runways of different lengths.
But if they instead they slaughter the ox, they divide the profit in proportion. This is discussed in the Babylonian Talmud (just after the estate division problem). [4] Ibn Ezra's problem. This is a later problem of estate division that was solved in a different way. A man with an estate of 120 dies bequeathing 120, 60, 40 and 30 to his four sons.
NFL WEEK 7 GAME PICKS: Expert predictions for every matchup NFL playoff picture: Bracket before Week 7 NFC. Bye: No. 1 seed Minnesota Vikings (5-0). Wild card game: No. 7 seed Green Bay Packers at ...
Divide and choose (also Cut and choose or I cut, you choose) is a procedure for fair division of a continuous resource, such as a cake, between two parties. It involves a heterogeneous good or resource ("the cake") and two partners who have different preferences over parts of the cake (both want as much of it as possible).