Abstract
In 1951 Julia Robinson proved that an iterative process for finding the value of a game, proposed by George W. Brown, converged for matrices. Later, using a proof closely modeled on Robinson's the author proved that the process converges for continuous games over compact sets. That proof was published in 1955. In this paper a generalized version is proved for the case when the successive maximizations and minimizations are inaccurate, and at the same time the presentation of 1955 is greatly improved.
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References
Robinson, J.: An iterative method of solving a game. Annals of Mathematics2, 1951, 296–301.
Danskin, J.: Fictitious play for continuous games. Naval Research Logistics Quarterly1, 1954, 313–320.
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The preparation of this paper was supported by the Office of Naval Research.
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Danskin, J.M. Fictitious play for continuous games revisited. Int J Game Theory 10, 147–154 (1981). https://doi.org/10.1007/BF01755961
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DOI: https://doi.org/10.1007/BF01755961