.. _sphx_glr_api_gallery_optimization_game_theory:

Game theory
-----------

Zero-sum matrix games and von Neumann's minimax theorem, solved as linear programs.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="Solves two zero-sum games as linear programs: rock-paper-scissors, whose optimal strategy is uniform with value zero, and a lopsided variant in which the row player&#x27;s rock beats scissors for double stakes, which tilts the game in the row player&#x27;s favour. In every game, the row player&#x27;s guaranteed payoff equals the column player&#x27;s guaranteed loss.">

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  .. image:: /api/gallery/optimization/game_theory/images/thumb/sphx_glr_plot_01_zero_sum_games_thumb.png
    :alt:

  :doc:`/api/gallery/optimization/game_theory/plot_01_zero_sum_games`

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      <div class="sphx-glr-thumbnail-title">Von Neumann's minimax theorem: optimal mixed strategies</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /api/gallery/optimization/game_theory/plot_01_zero_sum_games