NAME
Game::Theory::TwoPersonMatrix - Analyze a 2 person matrix game
VERSION
version 0.0801
SYNOPSIS
use Game::Theory::TwoPersonMatrix;
my $g = Game::Theory::TwoPersonMatrix->new();
$g = Game::Theory::TwoPersonMatrix->new(
1 => { 1 => 0.2, 2 => 0.3, 3 => 0.5 },
2 => { 1 => 0.1, 2 => 0.7, 3 => 0.2 },
payoff => [ [ 0, 1,-1],
[-1, 0, 1],
[ 1,-1, 0] ]
};
$g->expected_payoff();
$g->counter_strategy($player);DESCRIPTION
A Game::Theory::TwoPersonMatrix analyzes a two person matrix game of player names, strategies and utilities.
The players must have the same number of strategies, and each strategy must have the same size utility vectors as all the others.
Players 1 and 2 are the "row" and "column" players, respectively. This is due to the tabular format of a matrix game:
Player 2
--------
Strategy 0.5 0.5
Player | 0.5 1 -1 < Payoff
1 | 0.5 -1 1 <The above is the default - a symmetrical zero-sum game.
METHODS
new()
$g = Game::Theory::TwoPersonMatrix->new();
$g = Game::Theory::TwoPersonMatrix->new(
1 => { 1 => '0.5', 2 => '0.5' },
2 => { 1 => '0.5', 2 => '0.5' },
payoff => [ [1,0],
[0,1] ]
);Create a new Game::Theory::TwoPersonMatrix object.
expected_payoff()
$g->expected_payoff();Return the expected payoff value of the game.
s_expected_payoff()
$g = Game::Theory::TwoPersonMatrix->new(
1 => { 1 => '(1 - p)', 2 => 'p' },
2 => { 1 => 1, 2 => 0 },
payoff => [ ['a','b'], ['c','d'] ]
);
$g->s_expected_payoff();Return the expected payoff expression for a non-numeric game.
Using real payoff values, we solve the resulting expression for p in the eg/ examples.
counter_strategy()
$g->counter_strategy($player);Return the counter-strategies for a given player.
SEE ALSO
"A Gentle Introduction to Game Theory" http://www.amazon.com/Gentle-Introduction-Theory-Mathematical-World/dp/0821813390
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.