Early alternative derivations of Fechner's law

Masin, Sergio Cesare; Zudini, Verena; Antonelli, Mauro

doi:10.1002/jhbs.20349

Cited by 60 publications

(59 citation statements)

References 14 publications

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“…The formula of measurement proposed by Fechner is called "Fechner's law" (see Figure 1) and it is considered the first explicit, quantitative formulation connecting sensations with stimuli (Algom, 2003). On the procedure of derivation of this law followed by Fechner, see Masin, Zudini, & Antonelli (2009 The model proposed in Elements of Psychophysics became that of reference: a model to criticize, correct, or confute, in the methodological aspects of its (empirical and mathematical) procedures or even in its psychophysical, physiological, or, in a strict sense, psychological value itself; in certain cases, it was a model to reject in a radical way, on the basis of the assumption that it was impossible to measure sensations and, in general, psychical magnitudes and therefore to make a scientific study on them.…”

Section: After Fechnermentioning

confidence: 99%

The Euclidean model of measurement in Fechner's psychophysics

Zudini

2011

J History Behavioral Science

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Historians acknowledge Euclid and Fechner, respectively, as the founders of classical geometry and classical psychophysics. At all times, their ideas have been reference points and have shared the same destiny of being criticized, corrected, and even radically rejected, in their theoretical and methodological aspects and in their epistemological value. According to a model of measurement of magnitudes which goes back to Euclid, Fechner (1860) developed a theory for psychical magnitudes that opened a lively debate among numerous scholars. Fechner's attempt to apply the model proposed by Euclid to subjective sensation magnitudes--and the debate that followed--generated ideas and concepts that were destined to have rich developments in the psychological and (more generally) scientific field of the twentieth century and that still animate current psychophysics.

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Section: After Fechnermentioning

confidence: 99%

The Euclidean model of measurement in Fechner's psychophysics

Zudini

2011

J History Behavioral Science

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“…In what follows, we derive the Bernoulli utility function, or, equivalently, the Weber-Fechner law [7], or, equivalently in content, Stevens' Power law [8], using the desiderata of consistency of path independence 1 and invariance.…”

Section: A Consistency Proof Of Bernoulli's Utility Functionmentioning

confidence: 99%

An outline of the Bayesian decision theory

Erp

Linger

Gelder

2016

AIP Conference Proceedings

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Abstract. The Bayesian decision theory is neo-Bernoullian in that it proves, by way of a consistency derivation, that Bernoulli's utility function is the only appropriate function by which to translate, for a given initial wealth, gains and losses to their corresponding utilities. But the Bayesian decision theory deviates from Bernoulli's original expected utility theory in that it offers up an alternative for the traditional criterion of choice of expectation value maximization, as it proposes to choose that decision which has associated with it the utility probability distribution which maximizes the mean of the expectation value and the lower and upper confidence bounds.

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“…Bernoulli's discussion in 1738 means Fechner's assumption of just noticeable difference (JND) as sensation unit (Fechner, 1860) unnecessary, and implies another mathematical path of deriving the logarithmic law directly from empirical Weber fraction (Masin et al 2009). From a deeper analysis, Luce and Edwards also concluded that the logarithmic law can be derived only from Weber fraction without JND (Luce and Edwards, 1958).…”

Section: Weber Fraction In the Ultimatum Gamementioning

confidence: 99%

Psychophysical Interpretation for Utility Measures

He¹

2012

Economics

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The paper explores utility measures by combining experiments with mathematical derivations in the psychophysics paradigm. The analysis on the ultimatum game experiment reveals evidences for the utility threshold and thus supports Bernoulli's utility logarithmic law. Both experimental results and theoretical derivations show that the logarithmic law is suitable for the description of commodity choice and the power law for risk choice. The further mathematical demonstration indicates the logarithmic law for utility scaling to be a KleinRubin utility function, a utility function well defined in microeconomics. Based on this, the experimental utility measure is connected with the econometric model Linear Expenditure System, and presents an experimental procedure for testing the utility maximization hypothesis, which will resolve a long unsettled perplexity in a fundamental stone of economics since Gossen proposed it in 1854. JEL A12, D01

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Early alternative derivations of Fechner's law

Cited by 60 publications

References 14 publications

The Euclidean model of measurement in Fechner's psychophysics

The Euclidean model of measurement in Fechner's psychophysics

An outline of the Bayesian decision theory

Psychophysical Interpretation for Utility Measures

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