## The Mathematics of BehaviorMathematical thinking provides a clear, crisp way of defining problems. Our whole technology is based on it. What is less appreciated is that mathematical thinking can also be applied to problems in the social and behavioral sciences. This book illustrates how mathematics can be used to understand human and animal behavior, using examples in psychology, sociology, economics, ecology, and even marriage counseling. |

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### Contents

2 | |

18 | |

Appendix 2B Some Important Properties | 33 |

from physics to perception | 42 |

when systems evolve over time | 67 |

nonlinear and chaotic systems | 104 |

deﬁning rationality | 132 |

multidimensional scaling | 216 |

the mathematical models behind | 231 |

how to know you asked a good question | 259 |

the construction of complexity | 277 |

a Simple Market Economy | 283 |

connectionism | 297 |

328 | |

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activation algebra Allais paradox analysis applied argument assume assumption asymptote axioms behavior cancer classiﬁcation connectionist connectionist network correlation cycle decision maker deﬁned deﬁnition determined developed difﬁculty difﬁculty level equation Eratosthenes estimate examine example expected value factor false alarm Fechner ﬁeld ﬁgure ﬁnd ﬁrst ﬁt frequentist illustrates increases individual infected inﬂuence input intelligence intensity interactions linear logistic function lottery mathematical modeling matrix measure negative Neumann and Morgenstern neuron nodes noise distributions normal distribution observer observer’s output parameters person population possible predator predicted preference probability problem produce proﬁle psychological psychophysical randomly rational reasoning reﬂects relation Richardson’s rule scale shown in Figure shows signal detection simulation situation skill level social social welfare function standard deviation standard scores statistically independent statistics Stevens’s Suppose theory things units utility function variable vector voter voting wealth Weber weight word zero