Method and apparatus for generating card playing strategies

Details Method and apparatus for generating card playing strategies Method and apparatus for generating card playing strategies

1998-02-25

2000-10-10

Martin-Wallace, Valencia

Amusement devices: games

Including means for processing electronic data

In a game requiring strategy or problem solving by a...

463 13, 463 26, 273292, A63F 706

Patent

active

061296317

ABSTRACT:
The present invention comprises a method and apparatus for generating improved card playing strategies. The present invention may be implemented by means of software programming on a computer system. In one embodiment, a multi-dimensional model is used to represent possible strategies that may be used by each player participating in a card game. Each axis (dimension) of the model represents a distribution of a player's possible hands. Points along a player's distribution axis divide each axis into a number of segments. Each segment has associated with it an action sequence to be undertaken by the player with hands that fall within the segment. The dividing points delineate dividing points between different action sequences. The model is divided into separate portions each corresponding to an outcome determined by the action sequences and hand strengths for each player applicable to the portion. An expected return expression is generated by multiplying the outcome for each portion by the size of the portion, and adding together the resulting products. The location of the dividing points that result in the maximum expected return is determined by taking partial derivatives of the expected return function with respect to each variable, and setting them equal to zero. The result is a set of simultaneous equations that are solved to obtain values for each dividing point. The values for the optimized dividing points define optimized card playing strategies.

REFERENCES:
patent: 5076588 (1991-12-01), Minh
patent: 5332228 (1994-07-01), Schultz
patent: 5769417 (1998-06-01), Richer et al.
patent: 5941770 (1999-08-01), Miers et al.

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