Tesis
Differential games & network externalities.
Fecha
2017-04-18Registro en:
García Meza Mario Alberto, Differential games & network externalities., Tesis (Doctorado en Ciencias Económicas), Ciudad de México, Instituto Politécnico Nacional, Sección de Estudios de Posgrado e Investigación, Escuela Superior de Economía, 2016, 84 p.
Autor
García Meza, Mario Alberto
Institución
Resumen
Two models of differential games applied to economics are presented. We extend two
classical approaches to differential games for advertising by increasing the complexity
of the model and making applications of real life economic phenomena. In particular,
we study the competition dynamics under network externalities.
Given the non-linear nature of the setting of the game, numerical methods are used
to find the dynamics of the state space, i.e. the market share.
The second model comprises an oligopoly where a given number of agents decide
to play cooperatively in an advertising campaign where the perceived value of the
product can be affected by exogenous shocks that will randomly terminate the campaign.
In both cases, the main objective is to obtain the optimal levels of advertising for
the players that will optimize their profits. In the case of the cooperation game,
we also obtain the advertising that optimizes the profit for all players and find a
profit allocation procedure that guarantees stability in the agreement between firms
throughout the game.