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Games.jl

Games.jl is a Julia package about algorithms and data structures for Game Theory.

Installation

Games.jl is an unregistered package that is currently under development.

To install the package, open a Julia session and type

Pkg.clone("https://github.com/QuantEcon/Games.jl")

Usage

Once installed, the Games package can be used by typing

using Games

The Base type Player can be created by passing a payoff matrix.

player1 = Player([3 1; 0 2])
2×2 Player{2,Int64}:
 3  1
 0  2

A 2-player NormalFormGame can be created either by passing Player instances,

player2 = Player([2 0; 1 3])
g = NormalFormGame((player1, player2))
2×2 NormalFormGame{2,Int64}

or by passing a payoff matrix directly.

payoff_bimatrix = Array{Int}(undef, 2, 2, 2)
payoff_bimatrix[1, 1, :] = [3, 2]
payoff_bimatrix[1, 2, :] = [1, 1]
payoff_bimatrix[2, 1, :] = [0, 0]
payoff_bimatrix[2, 2, :] = [2, 3]
g = NormalFormGame(payoff_bimatrix)
2×2 NormalFormGame{2,Int64}

After constructing a NormalFormGame, we can find its Nash Equilibria by using methods of Games. For example, pure_nash finds all pure action Nash Equilibria by enumeration.

pure_nash(g)
2-element Array{Tuple{Int64,Int64},1}:
 (1, 1)
 (2, 2)

Please see the notebooks on QuantEcon for more details.

Notebooks

Some notebooks for this package are available on QuantEcon. See:

Library Outline