# Any software to find mixed Nash equilibrium in multi-player simultaneous games?

**URL:** <https://discourse.julialang.org/t/any-software-to-find-mixed-nash-equilibrium-in-multi-player-simultaneous-games/96260>\
**Category:** Offtopic\
**Tags:** question, game-theory\
**Created:** [March 17, 2023, 8:29pm UTC](https://discourse.julialang.org/t/any-software-to-find-mixed-nash-equilibrium-in-multi-player-simultaneous-games/96260 "2023-03-17T20:29:31Z")\
**Posts on this page:** 3\
**Page:** 1

<div class="post-metadata">

**Author:** ![sylvaticus](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/sylvaticus/32/203883_2.png) [@sylvaticus](https://discourse.julialang.org/u/sylvaticus)\
**Post date:** [March 17, 2023, 8:29pm UTC](https://discourse.julialang.org/t/any-software-to-find-mixed-nash-equilibrium-in-multi-player-simultaneous-games/96260/1 "2023-03-17T20:29:31Z")

</div>

Hello, does anyone know of an (preferably open source) implementation of an algorithm to find Nash equilibrium in multi-player simultaneous games when mixed strategies are allowed?

On one side nashpy works only with 2-players games, and on the other gambit multi-player algorithms doesn’t seem (I believe) to workwith mixed strategies…

---

<div class="post-metadata">

**Author:** ![KellieRansom](https://avatars.discourse-cdn.com/v4/letter/k/f07891/32.png) [@KellieRansom](https://discourse.julialang.org/u/KellieRansom)\
**Post date:** [April 26, 2023, 1:22pm UTC](https://discourse.julialang.org/t/any-software-to-find-mixed-nash-equilibrium-in-multi-player-simultaneous-games/96260/2 "2023-04-26T13:22:23Z")

</div>

Lemke-Howson-Algorithm with Smoothing this is an extension of the Lemke-Howson algorithm for finding Nash equilibria in games with more than two players.

---

<div class="post-metadata">

**Author:** ![sylvaticus](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/sylvaticus/32/203883_2.png) [@sylvaticus](https://discourse.julialang.org/u/sylvaticus)\
**Post date:** [April 26, 2023, 2:13pm UTC](https://discourse.julialang.org/t/any-software-to-find-mixed-nash-equilibrium-in-multi-player-simultaneous-games/96260/3 "2023-04-26T14:13:33Z")

</div>

Thank you.  
In the meantime I implemented a couple of algorithms in a new library: [StrategicGames.jl](https://github.com/sylvaticus/StrategicGames.jl)