Abstract
In a previous paper (Bull. Math. Biophysics,12, 215, 1950) a theory of transmission of information through a chain of individuals was developed. It was assumed that each individual can exhibit only two mutually exclusive reactions, which serve as signals, thus transmitting to his neighbor one bit of information per signal. In the present paper the theory is generalized to the case of any numberm of mutually exclusive reactions, giving thus log2 m bits per signal. The general character of the process of transmission remains very much the same as before; the mathematical expression becoming, however, more complicated.
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Literature
Rashevsky, N. 1948.Mathematical Biophysics. Rev Ed. Chicago: University of Chicago Press
— 1950a. “Psychophysical Discrimination with more than Two Stimuli.”Bull. Math. Biophysics,12, 215–20.
— 1950b. “Some Bio-Sociological Aspects of the Mathematical Theory of Communication.” —Ibid.,12, 359–78.
Landahl, H. D. 1938. “A Contribution to the Mathematical Biophysics of Psychophysical Discrimination.”Psychometrika,3, 107–25.
— 1941a. “Studies in the Mathematical Biophysics of Discrimination and Conditioning I.”Bull. Math. Biophysics,3, 13–26.
— 1941b. “Studies in the Mathematical Biophysics of Discrimination and Conditioning II: Special Case: Errors, Trials, and Number of Possible Responses.”Bull. Math. Biophysics,3, 71–7.
Landau, H. G. 1950. “Note on the Effect of Imitation in Social Behavior.”Bull. Math. Biophysics,3, 221–35.
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Rashevsky, N. A note on the theory of communication through social channels. Bulletin of Mathematical Biophysics 13, 139–146 (1951). https://doi.org/10.1007/BF02478222
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DOI: https://doi.org/10.1007/BF02478222