A Game Model of Optimal Apartment Cleaning by College Students - Theoretical Economics Letters

TEL > Vol.7 No.2, February 2017

A Game Model of Optimal Apartment Cleaning by College Students ()

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Download as PDF (Size: 277KB) PP. 218-222

DOI: 10.4236/tel.2017.72019 1,202 Downloads 2,631 Views

Author(s)

Amitrajeet A. Batabyal

Affiliation(s)

Department of Economics, Rochester Institute of Technology, Rochester, NY, USA.

ABSTRACT

In this note we use a static game model to analyze the optimal cleanup of an apartment that is shared by two college students. Both students dislike cleaning. However, they also prefer a clean apartment to a dirty one. Student i’s utility function embodies the idea that the more time one student spends cleaning, the less valuable is the time spent cleaning by the other student. In this setting, we first determine the best response function of each student (player) i where i = 1, 2. Second, we determine the cleaning time choices that survive one round of the iterated elimination of strictly dominated strategies (IESDS). Finally, we ascertain the cleaning time choices that survive all rounds of IESDS.

KEYWORDS

Apartment, Cleanup, College Student, Static Game, Strictly Dominated Strategy

Share and Cite:

Batabyal, A. (2017) A Game Model of Optimal Apartment Cleaning by College Students. Theoretical Economics Letters, 7, 218-222. doi: 10.4236/tel.2017.72019.

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