Bcc: Alex Loh Date: Wed, 4 Jul 2012 11:53:12 +0200 Subject: 6 July 2012, 11:00, L017, PEM: Choosing products in social networks (Sunil Simon) From: Vadim Zaytsev To: PEM, PNA-1 Dear colleagues and environmentalists, The next presentation of the weekly PEM Colloquium will be given by Sunil Simon on his joint work with Krzysztof Apt on applications of game theory to studying social networks. You are all cordially invited to join us at 11:00 in L017 (CWI). Date: 6 July 2012 Time: 11:00 Room: L017 (CWI) Speaker: Sunil Simon Title: Choosing Products in Social Networks Abstract: see below ---------------------------------------------------------------------- Choosing products in social networks We study using game-theoretic concepts, the consequences of adopting products by agents who form a social network. We use the threshold model of social networks in which the nodes influenced by their neighbours can adopt one out of several alternatives, and associate with each social network a strategic game between the agents. Like certain classes of potential games, these games exhibit the "join the crowd" property where the payoff of each player weakly increases if more players choose the same strategy. However, such games may have no Nash equilibrium and determining the existence of a Nash equilibrium is NP-complete. The situation changes when the underlying graph of the social network is a DAG, a simple cycle, or has no source nodes. For these three classes we characterize Nash equilibria and determine the complexity of existence of a Nash equilibrium. ---------------------------------------------------------------------- http://event.cwi.nl/pem/calendar.html ---------------------------------------------------------------------- Yours, Vadim.