Method and system for using cooperative game theory to resolve statistical and other joint effects
First Claim
1. A computer implemented method for allocating value among players in a cooperative allocation game in order to resolve joint effects in an allocation problem, comprising:
- identifying a control game and its players;
identifying an allocation game and its players;
establishing;
a control relationship between players or coalitions in the control game and players or coalitions in the allocation game;
selecting a set of coalitions in the control game;
determining a set of worths for the selected set coalitions in the control game;
evaluating one or more control functions using the determined set of worths to determine a set of values for the one or more control functions in the control game;
selecting a set of coalitions in the allocation game;
determining a set of worths for the selected set of coalitions in the allocation game; and
combining the determined set of values for the one or more control functions in the game with the determined set of worths for the selected set of coalitions in the allocation game to determine allocations to players in the allocation game.
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Abstract
A method and system for cooperative resolution of statistical and other joint effects. The method and system include constructing controlled allocation games. Allocation patterns in a control game are used to determine value allocations in an allocation game. The method and system also includes approximating value functions for large cooperative games. The method and system may be used to construct statistical cooperative games and use cooperative game theory to resolve statistical joint effects in a variety of situations. The methods may be applicable to other types of joint effects problems such as those found in engineering, finance and other disciplines.
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Citations
12 Claims
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1. A computer implemented method for allocating value among players in a cooperative allocation game in order to resolve joint effects in an allocation problem, comprising:
- identifying a control game and its players;
identifying an allocation game and its players;
establishing;
a control relationship between players or coalitions in the control game and players or coalitions in the allocation game;
selecting a set of coalitions in the control game;
determining a set of worths for the selected set coalitions in the control game;
evaluating one or more control functions using the determined set of worths to determine a set of values for the one or more control functions in the control game;
selecting a set of coalitions in the allocation game;
determining a set of worths for the selected set of coalitions in the allocation game; and
combining the determined set of values for the one or more control functions in the game with the determined set of worths for the selected set of coalitions in the allocation game to determine allocations to players in the allocation game. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
- identifying a control game and its players;
Specification