scholarly journals No Envy

2021 ◽  
Vol 14 (1) ◽  
Author(s):  
Conrad Heilmann ◽  
Stefan Wintein
Keyword(s):  
Mathematical Psychology ◽  
Philosophy And Economics

The important ‘no-envy’ fairness criterion has typically been attributed to Foley (1967) and sometimes to Tinbergen (1946, 1953). We reveal that Jan Tinbergen introduced ‘no-envy’ as a fairness criterion in his article “Mathematiese Psychologie” published in 1930 in the Dutch journal Mens en Maatschappij and translated as “Mathematical Psychology” in 2021 in the Erasmus Journal for Philosophy and Economics. Our article accompanies the translation: we introduce Tinbergen’s 1930 formulation of the ‘no-envy’ criterion, compare it to other formulations, and comment on its significance for the fairness literature in philosophy and economics.

Mathematical Psychology Today

1986 ◽  
Vol 31 (1) ◽  
pp. 48-49
Author(s):  
Stephen E. Edgell
Keyword(s):  
Mathematical Psychology ◽  
Psychology Today

Progress in European Mathematical Psychology

1991 ◽  
Vol 36 (7) ◽  
pp. 607-609
Author(s):  
Hans Colonius
Keyword(s):  
Mathematical Psychology

scholarly journals If Mathematical Psychology Did Not Exist We Might Need to Invent It: A Comment on Theory Building in Psychology

2021 ◽  
pp. 174569162097476
Author(s):  
Danielle J. Navarro
Keyword(s):  
Empirical Work ◽  
Psychological Theory ◽  
Statistical Problem ◽  
Theory Building ◽  
Mathematical Formalism ◽  
Mathematical Psychology ◽  
Complex Relationship ◽  
Physical Sciences ◽  
The Past ◽  
The Subject

It is commonplace, when discussing the subject of psychological theory, to write articles from the assumption that psychology differs from the physical sciences in that we have no theories that would support cumulative, incremental science. In this brief article I discuss one counterexample: Shepard’s law of generalization and the various Bayesian extensions that it inspired over the past 3 decades. Using Shepard’s law as a running example, I argue that psychological theory building is not a statistical problem, mathematical formalism is beneficial to theory, measurement and theory have a complex relationship, rewriting old theory can yield new insights, and theory growth can drive empirical work. Although I generally suggest that the tools of mathematical psychology are valuable to psychological theorists, I also comment on some limitations to this approach.

scholarly journals Ising formulations of some graph-theoretic problems in psychological research: models and methods

2020 ◽  
Author(s):  
Michael Brusco ◽  
Clintin Davis-Stober ◽  
Douglas Steinley
Keyword(s):  
Paired Comparison ◽  
Psychological Research ◽  
Directed Acyclic Graphs ◽  
Spin Model ◽  
Mathematical Psychology ◽  
Linear Ordering ◽  
Spin Models ◽  
Graph Theoretic ◽  
Algorithm Efficiency ◽  
Ising Spin

It is well known that many NP-hard and NP-complete graph-theoretic problems can be formulated and solved as Ising spin models. We discuss several problems that have a particular history in mathematical psychology, most notably max-cut clustering, graph coloring, a linear ordering problem related to paired comparison ranking and directed acyclic graphs, and the problem of finding a minimum subset of points necessary to contain another point within a convex hull. New Ising spin models are presented for the latter two problems. In addition, we provide MATLAB software programs for obtaining solutions via enumeration of all spin ensembles (when computationally feasible) and simulated annealing. Although we are not advocating that the Ising spin model is the preferred approach for formulation and solution of graph-theoretic problems on conventional digital computers, it does provide a unifying framework for these problems. Moreover, recent progress in the development of quantum computing architecture has shown that Ising spin models can afford enormous improvements in algorithm efficiency when implemented on these platforms, which may ultimately lead to widespread use of the methodology in the future.

scholarly journals On the valuation of economic goods

2017 ◽  
Vol 20 (5) ◽  
pp. 45-54
Author(s):  
Wojciech Giza
Keyword(s):  
Economic Analysis ◽  
Monetary Value ◽  
Time Period ◽  
The Subject ◽  
Economic Good ◽  
The Difference ◽  
Economic Goods ◽  
Philosophy And Economics ◽  
The Way

The presented study includes an analysis of the category of “good” on the basis of philosophy and economics. Particular attention was paid here to the factors determining the monetary value (price) of an economic good. While achieving the assumed objective of the research, answers to the following questions were sought: What is the difference, therefore, in the interpretation of good as an axiological category and good which economics deals with? What is the basis for the valuation of goods which are the subject of economic analysis? While seeking answers to these questions, an attempt was made to justify the thesis according to which contemporary understanding of the way the market valuates goods is limited to accepting the price understood as a variable representing a kind of relationship set in a given time period.

Outline of a new principle of mathematical psychology (1851)

1987 ◽  
Vol 49 (4) ◽  
pp. 203-207 ◽  
Author(s):  
Gustav Theodor Fechner
Keyword(s):  
Mathematical Psychology
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