Abstract
The price of anarchy (PoA) has been widely used in static games to quantify the loss of efficiency due to noncooperation. Here, we extend this concept to a general differential games framework. In addition, we introduce the price of information (PoI) to characterize comparative game performances under different information structures, as well as the price of cooperation to capture the extent of benefit or loss a player accrues as a result of altruistic behavior.We further characterize PoA and PoI for a class of scalar linear quadratic differential games under open-loop and closed-loop feedback information structures. We also obtain some explicit bounds on these indices in a large population regime.
Original language | English (US) |
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Pages (from-to) | 50-73 |
Number of pages | 24 |
Journal | Dynamic Games and Applications |
Volume | 1 |
Issue number | 1 |
DOIs | |
State | Published - Mar 2011 |
Keywords
- Differential games
- Efficiency
- Information structures
- Linear-quadratic games
- Nash equilibria
- Price of anarchy
- Price of cooperation
- Price of information
ASJC Scopus subject areas
- Statistics and Probability
- Economics and Econometrics
- Computer Science Applications
- Computer Graphics and Computer-Aided Design
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics