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When looking at a horse saddle, the saddle point (i.e. the centre) is the lowest point on the structure in the longitudinal plane whilst also being the highest point on the structure in the lateral plane. Therefore it can be considered geometrically to simultaneously be a point of maximum and minumum height in space. This describes well the equilibrium situation in game theory where the agent tries tominimize the maximum possible loss. Alternatively, it can be thought of as maximizing the minimum gain (maximin).

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Q: DEFINE saddle point in game theory?
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