TY  - RPRT
        AU  - Stark, Holger
AU  - Kosiorowski, Grzegorz
        TI  - A Pure Theory of Population Distribution When Preferences Are Ordinal
        PY  - 2023/Feb/
        PB  - Institute of Labor Economics (IZA)
        CY  - Bonn
        T2  - IZA Discussion Paper
        IS  - 15923
        UR  - https://www.iza.org/index.php/publications/dp15923
        AB  - We model an environment in which individuals prefer to be in a space in which their rank is higher, be it a social space, a geographical space, a work environment, or any other comparison sphere which we refer to in this paper, and without loss of generality, as a region. When the individuals can choose between more than two regions, we inquire: (i) whether a steady-state distribution of the population is reached; (ii) how long it will take to reach a steady state; and (iii) if a steady state obtains, whether at the steady state social welfare is maximized. Despite the fact that when there are three or more regions the mobility paths are more intricate than when there are only two regions, we prove that a steady-state distribution of the population across the regions is reached; we identify the upper bound of the number of time periods that it will take to reach the steady-state distribution; and we show that the steady-state distribution maximizes social welfare. This last result is surprising: even though the individuals act of their own accord, they achieve the socially preferred outcome.
        KW  - inter-space mobility
KW  - three or more spaces
KW  - ordinal preferences
KW  - distaste for low rank
KW  - steady-state population distribution
KW  - social welfare
        ER  -