Divisibility assumption

As Teilbarkeitsannahme (also Teilbarkeitshypothese ) is called in economics and there especially in microeconomics an assumption that the mathematical treatment of microeconomic problems much easier and means that goods can be produced in any arbitrary subsets and consumed.

The divisibility assumption thus corresponds to the assumption of a continuum in physics .

In particular, financial products such as fund investments are examples of the divisibility assumption in the practical area, as these can be acquired in any partial quantities.

Mathematically, the Marshall's demand function can be used for rational numbers without these goods being necessarily divisible. ${\displaystyle x_{1,2}}$

${\displaystyle {\begin{aligned}\mathbf {x} ^{m}(\mathbf {p} ,y)&\equiv \arg \max\{u(\mathbf {x} )|\mathbf {p} \cdot \mathbf {x} \leq y\}\\&=\left\{\mathbf {x} \in B_{\mathbf {p} ,y}\left|\left(\forall \mathbf {x} '\in \mathbb {R} _{+}^{n}\right):u(\mathbf {x} ')>u(\mathbf {x} )\Rightarrow \mathbf {p} \cdot \mathbf {x} '>y\right.\right\}\end{aligned}}}$

Individual evidence

1. ↑ Thomas Marchlewski: Typology of Internet users based on psychological determinants of online consumption . 2003, ISBN 3-8324-6422-0 .
2. ↑ Jonas Regul: Value of inferior goods . In: Cengage Learning . Cengage, April 2018.
3. ↑ Ines Freidank: Company Law and Consumer Protection - To Revoke Fund Participations . 2003, ISBN 3-8324-7114-6 .
4. ↑ See James C. Moore: General equilibrium and welfare economics. An introduction. Springer, Berlin a. a. 2007, ISBN 978-3-540-31407-3 (also online: doi : 10.1007 / 978-3-540-32223-8 ), p. 88.

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