TITLE:
A Game Model of Optimal Apartment Cleaning by College Students
AUTHORS:
Amitrajeet A. Batabyal
KEYWORDS:
Apartment, Cleanup, College Student, Static Game, Strictly Dominated Strategy
JOURNAL NAME:
Theoretical Economics Letters,
Vol.7 No.2,
February
28,
2017
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.