Spatial agent-based models of common pool resources
|Author:||Bc. Dominik Vach|
|Year:||2016 - summer|
|Leaders:|| doc. PhDr. Martin Gregor Ph.D.
|Work type:|| Bachelors
|Awards and prizes:|
|Abstract:||This thesis examines the application of the spatial aspect applied in the competitive
models in the context of the natural resource economics. At first,
the spatial models are thoroughly derived in one dimension. Then also their
general properties such as the choice of the agents’ location or their payoff
function are examined. These properties are investigated for various distributions
of the resource, and therefore they depend also on their parameters.
The Nash equilibrium and local stability conditions are derived for the basic
setups. In the second part, these competitive models are numerically tested
also in a two-dimensional space. One of the results also suggests, that in the
setup where the players have perfect information, the beginning player is not
necessarily always better off than the second player. Throughout the entire
thesis it is also comprehensively examined whether the existence of corners of
the strategy space has an impact on the existence of the competition which
was successfully demonstrated on several cases.