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Toy model

From Wikipedia, the free encyclopedia
Deliberately simplistic scientific model
For actual toys, seeModel figure,Action figure, andDie-cast toy.
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Inscientific modeling, atoy model is a deliberately simplistic model with many details removed so that it can be used to explain a mechanism concisely. It is also useful in a description of the fuller model.

  • Intoy mathematical models used inmathematical physics, this is usually done by reducing or extending the number of dimensions or reducing the number of fields/variables or restricting them to a particular symmetric form.[1]
  • Intoyeconomic models, some may be only loosely based on theory, others more explicitly so. They allow for a quick first pass at some question, and present the essence of the answer from a more complicated model or from a class of models. For the researcher, they may come before writing a more elaborate model, or after, once the elaborate model has been worked out. Blanchard's list of examples includes theIS–LM model, theMundell–Fleming model, the RBC model, and the New Keynesian model.[2]

The phrase "tinker-toy model" is also used,[citation needed] in reference to theTinkertoys product used for children'sconstructivist learning.

Examples

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Examples of toy models in physics include:

See also

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Look uptoy model in Wiktionary, the free dictionary.
  • Physical model – Informative representation of an entityPages displaying short descriptions of redirect targets
  • Spherical cow – Humorous concept in scientific models
  • Toy problem – Simplified example problem used for research or exposition
  • Toy theorem – Simplified instance of a general theorem

References

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  1. ^Marzuoli, Annalisa (2008), Lupacchini, Rossella; Corsi, Giovanna (eds.),"Toy Models in Physics and the Reasonable Effectiveness of Mathematics",Deduction, Computation, Experiment: Exploring the Effectiveness of Proof, Milano: Springer Milan, pp. 49–64,doi:10.1007/978-88-470-0784-0_3,ISBN 978-88-470-0784-0, retrieved2026-01-21{{citation}}: CS1 maint: work parameter with ISBN (link)
  2. ^3.Blanchard O., 2018-On the future of macroeconomic models,Oxford Review of Economic Policy, Volume 34, Numbers 1–2, 2018, pp. 52-53.
  3. ^Hartmann, Alexander K.; Weigt, Martin (2006-05-12).Phase Transitions in Combinatorial Optimization Problems: Basics, Algorithms and Statistical Mechanics. John Wiley & Sons. p. 104.ISBN 978-3-527-60686-3.
  4. ^"Ising model".nlab-pages.s3.us-east-2.amazonaws.com. Retrieved2022-01-12.
  5. ^"The Ising Model".stanford.edu. Retrieved2022-01-12.
  6. ^Buchert, T.; Carfora, M.; Ellis, G. F. R.; Kolb, E. W.; MacCallum, M. A. H.; Ostrowski, J. J.; Räsänen, S.; Roukema, B. F.; Andersson, L.; Coley, A. A.; Wiltshire, D. L. (2015-11-05). "Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?".Classical and Quantum Gravity.32 (21) 215021.arXiv:1505.07800.Bibcode:2015CQGra..32u5021B.doi:10.1088/0264-9381/32/21/215021.hdl:10138/310154.ISSN 0264-9381.S2CID 51693570.
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