Suppose that, in a two-player game, player A can move Up or Down, and player B can choose Left or Right. Payoffs for this game are given in the table. 
There exists a mixed-strategy Nash equilibrium at which Player A plays Down with probability ____.
Definitions:
Development
The process of economic growth, expansion, or realization of regional resource potential, often associated with improvements in the quality of life and living standards.
Maps
Visual representations of an area, detailing geographical features, boundaries, and other relevant information to aid navigation or understanding of a location.
Mining Community
A settlement built around a mine or mining operation, often developed to house workers and provide services.
Arid West
A region in the United States characterized by a dry climate, receiving insufficient rainfall to support most types of agriculture without irrigation.
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