Title: Peer selection in a Network: A Mechanism Design Approach
Abstract: A planner wants to select one agent out of n agents on the basis of a binary characteristic that is commonly known to all agents but is notobserved by the planner. Any pair of agents can either be friends or enemies or impartials of each other. An individual’s most preferred outcome isthat she be selected. If she is not selected, then she would prefer that a friend be selected, and if neither she herself or a friend is selected, thenshe would prefer that an impartial agent be selected. Finally, her least preferred outcome is that an enemy be selected. The planner wants todesign a dominant strategy incentive compatible mechanism in order to be able choose a desirable agent. We derive sufficient conditions for existenceof efficient and DSIC mechanisms when the planner knows the bilateral relationships between agents. We also show that if the planner does notknow the network these relationships, then there is no efficient and DSIC mechanism and we compare the relative efficiency of two “second-best”DSIC mechanisms. Finally, we obtain sharp characterization results when the network of friends and enemies satisfies structural balance.
School of Economics Sir Clive Granger Building University of Nottingham University Park Nottingham, NG7 2RD