A. S. Mousa and R. I. Rajab and A. A. Pinto
Characterizing the Geometry of Envy Human Behaviour Using Game Theory Model with Two Types of Homogeneous Players
45 - 52
2020
14
6
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10011256
https://publications.waset.org/vol/162
World Academy of Science, Engineering and Technology
An envy behavioral game theoretical model with two
types of homogeneous players is considered in this paper. The
strategy space of each type of players is a discrete set with only
two alternatives. The preferences of each type of players is given
by a discrete utility function. All envy strategies that form Nash
equilibria and the corresponding envy Nash domains for each type
of players have been characterized. We use geometry to construct
two dimensional envy tilings where the horizontal axis reflects the
preference for players of type one, while the vertical axis reflects
the preference for the players of type two. The influence of the envy
behavior parameters on the Cartesian position of the equilibria has
been studied, and in each envy tiling we determine the envy Nash
equilibria. We observe that there are 1024 combinatorial classes of
envy tilings generated from envy chromosomes 256 of them are
being structurally stable while 768 are with bifurcation. Finally, some
conditions for the disparate envy Nash equilibria are stated.
Open Science Index 162, 2020