Research Seminar: Aggregation in Networks
Nizar Allouch (Queen Mary University of London) will present his paper "Aggregation in Networks" at the research seminar of the Center for Market Studies and Spatial Economics.
Researchers, lecturers and students interested in the field are invited to participate.
Date and Time: May 16th (Monday) @ 17.00.
Location: Saint Petersburg, Soyuza Pechatnikov street, Bld. 16, Room 218.
Working language is English.
Abstract of the paper:
We show that a concept of aggregation can hold for games played on networks. We first provide a condition on a group of players in a network, called a module, which ensures that the group can behave like a single player. Furthermore, we show that a partition of players of a game into modules gives rise to an aggregate game, whose Nash equilibria, together with the Nash equilibria of the games played at the module level, correspond to Nash equilibria of the game. Then, we show that fitting aggregate games into each other in an appropriate way provides a hierarchical decomposition of the game, which can inform a recursive computation of Nash equilibria. Finally, we provide an application to the model of public goods in networks to illustrate the usefulness of our results.