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  2. Fair division - Wikipedia

    en.wikipedia.org/wiki/Fair_division

    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 ...

  3. Pie rule - Wikipedia

    en.wikipedia.org/wiki/Pie_rule

    The player who made the first move becomes the second player and makes the second move on the board. This is demonstrated in the chess diagrams shown here. Switching the first piece can occur in games where the board starts empty and the first move consists of placing one piece. Suppose the colors are white versus black, and black places the ...

  4. Strategic fair division - Wikipedia

    en.wikipedia.org/wiki/Strategic_fair_division

    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]

  5. Moving-knife procedure - Wikipedia

    en.wikipedia.org/wiki/Moving-knife_procedure

    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.

  6. Entitlement (fair division) - Wikipedia

    en.wikipedia.org/wiki/Entitlement_(fair_division)

    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.

  7. Game theory - Wikipedia

    en.wikipedia.org/wiki/Game_theory

    Game theory is the study of ... Other zero-sum games include matching pennies and most classical board games ... mergers and acquisitions pricing, [78] fair division ...

  8. Category:Fair division - Wikipedia

    en.wikipedia.org/wiki/Category:Fair_division

    Pages in category "Fair division" The following 30 pages are in this category, out of 30 total. ... Spite (game theory) Surplus sharing; U. List of unsolved problems ...

  9. Steven Brams - Wikipedia

    en.wikipedia.org/wiki/Steven_Brams

    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

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