NAME
Game::Theory::TwoPersonMatrix - Reduce & analyze a 2 person matrix game
VERSION
version 0.01
SYNOPSIS
use Game::Theory::TwoPersonMatrix;
my $g = Game::Theory::TwoPersonMatrix->new(
1 => { 1 => \@u1, 2 => \@u2 },
2 => { 1 => \@v1, 2 => \@v2 }
);
$g->reduce(2, 1);
$g->reduce(1, 2);
my $e = $g->nash;
print Dumper $e;DESCRIPTION
A Game::Theory::TwoPersonMatrix reduces and analyzes a two person matrix game of player names, strategies and numerical utilities.
The players must have the same number of strategies, and each strategy must have the same size utility vectors as all the others.
NAME
Game::Theory::TwoPersonMatrix - Reduce & analyze a 2 person matrix game
METHODS
new()
my $g = Game::Theory::TwoPersonMatrix->new(%args);Create a new Game::Theory::TwoPersonMatrix object.
Player defaults:
1 => { 1 => [1,0], 2 => [0,1] },
2 => { 1 => [1,0], 2 => [0,1] }Player strategies are given by a 2D matrix of utilities (or payoffs) such that,
[ [ u1, u2 .. un] .. [ v1, v2 .. vn ] ]Where each "ui" is a utility or payoff for the strategy "U."
reduce()
$g->reduce_game(1, 2); # Player 1 given opponent 2
print Dumper $g->{1}, $g->{2};
$g->reduce_game(2, 1); # Player 2 given opponent 1
print Dumper $g->{1}, $g->{2};Reduce the game by elimination of a single strictly dominated strategy of the player.
Use repeated application of this method to solve a game, or verify that it is insoluble.
nash()
my $equilibria = $g->nash;
print Dumper $equilibria;Find the Nash equilibria.
AUTHOR
Gene Boggs <gene@cpan.org>
COPYRIGHT AND LICENSE
This software is copyright (c) 2014 by Gene Boggs.
This is free software; you can redistribute it and/or modify it under the same terms as the Perl 5 programming language system itself.