Scaling simulation-based game analysis through deviation-preserving reduction

Multiagent simulation extends the reach of game-theoretic analysis to scenarios where payoff functions can be computed from implemented agent strategies. However this approach is limited by the exponential growth in game size relative to the number of agents. Player reductions allow us to construct games with a small number of players that approximate very large symmetric games. We introduce deviation-preserving reduction, which generalizes and improves on existing methods by combining sensitivity to unilateral deviation with granular subsampling of the profile space. We evaluate our method on several classes of random games and show that deviation-preserving reduction performs better than prior methods at approximating full-game equilibria.

[1]  Rajarshi Das,et al.  High-performance bidding agents for the continuous double auction , 2001, EC '01.

[2]  Michael P. Wellman,et al.  Approximate Strategic Reasoning through Hierarchical Reduction of Large Symmetric Games , 2005, AAAI.

[3]  Nicholas R. Jennings,et al.  Evolutionary Stability of Behavioural Types in the Continuous Double Auction , 2006, EUMAS.

[4]  Moshe Tennenholtz,et al.  Local-Effect Games , 2003, IJCAI.

[5]  R. Rosenthal A class of games possessing pure-strategy Nash equilibria , 1973 .

[6]  Nicholas R. Jennings,et al.  Strategic bidding in continuous double auctions , 2008, Artif. Intell..

[7]  Simon Parsons,et al.  A novel method for automatic strategy acquisition in N-player non-zero-sum games , 2006, AAMAS '06.

[8]  G. Tesauro,et al.  Analyzing Complex Strategic Interactions in Multi-Agent Systems , 2002 .

[9]  Michael P. Wellman,et al.  Stronger CDA strategies through empirical game-theoretic analysis and reinforcement learning , 2009, AAMAS.

[10]  Michael P. Wellman,et al.  Strategic formation of credit networks , 2012, WWW.

[11]  David C. Parkes,et al.  Learning and Solving Many-Player Games through a Cluster-Based Representation , 2008, UAI.

[12]  Michael P. Wellman,et al.  Agent-based analysis of asset pricing under ambiguous information , 2010, SpringSim.

[13]  Scott Shenker,et al.  On a network creation game , 2003, PODC '03.

[14]  Yishay Mansour,et al.  Efficient Nash Computation in Large Population Games with Bounded Influence , 2002, UAI.

[15]  Michael P. Wellman,et al.  Empirical game-theoretic analysis of the TAC Supply Chain game , 2007, AAMAS '07.

[16]  Gerald Tesauro,et al.  Strategic sequential bidding in auctions using dynamic programming , 2002, AAMAS '02.