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We introduce $\alpha$-Rank, a principled evolutionary dynamics methodology for the evaluation and ranking of agents in large-scale multi-agent interactions, grounded in a novel dynamical game-theoretic solution concept called Markov-Conley chains (MCCs).
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If multi-agent learning is the answer, what is the question?
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Optimization despite chaos: Convex relaxations to complex limit sets via Poincaré recurrence
Piliouras, G. & Shamma, J. S · 2014
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Heinrich, J., Lanctot, M. & Silver, D · 2015
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Strategic market choice: Frequent call markets vs. continuous double auctions for fast and slow traders
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Vorobeychik, Y., Wellman, M. P. & Singh, S · 2007
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The computational complexity of evolutionarily stable strategies
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Effective short-term opponent exploitation in simplified poker
Southey, F., Hoehn, B. & Holte, R. C · 2009
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Persistent patterns: Multi-agent learning beyond equilibrium and utility
Piliouras, G., Nieto-Granda, C., Christensen, H. I. & Shamma, J. S · 2015
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Mastering the game of Go with deep neural networks and tree search
Silver, D. et al · 2016
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Finite-population evolution with rare mutations in asymmetric games
Veller, C. & Hayward, L. K · 2016
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From Nash equilibria to chain recurrent sets: Solution concepts and topology
Papadimitriou, C. & Piliouras, G · 2016
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Average case performance of replicator dynamics in potential games via computing regions of attraction
Panageas, I. & Piliouras, G · 2016
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Shading and efficiency in limit-order markets
Brinkman, E. & Wellman, M · 2016
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Moving target defense against DDoS attacks: An empirical game-theoretic analysis
Wright, M., Venkatesan, S., Albenese, M. & Wellman, M · 2016
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Sullivan, C. & Cronin, C · 2016
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Moravčík, M. et al · 2017
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Lanctot, M. et al · 2017
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Piliouras, G. & Schulman, L. J · 2017
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Multiplicative weights update with constant step-size in congestion games: Convergence, limit cycles and chaos
Palaiopanos, G., Panageas, I. & Piliouras, G · 2017
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The red queen and king in finite populations
Veller, C., Hayward, L. K., Hilbe, C. & Nowak, M. A · 2017
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Wah, E., Wright, M. & Wellman, M · 2017
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Multi-stage attack graph security games: Heuristic strategies, with empirical game-theoretic analysis
Nguyen, T., Wright, M., Wellman, M. & Singh, S · 2017
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Evaluation in artificial intelligence: from task-oriented to ability-oriented measurement
Hernández-Orallo, J · 2017
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The measure of all minds: evaluating natural and artificial intelligence (Cambridge University Press, 2017)
Hernández-Orallo, J · 2017
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Elo ratings and the sports model: A neglected topic in applied probability?
Aldous, D · 2017
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A general reinforcement learning algorithm that masters chess, shogi, and go through self-play
Silver, D. et al · 2018
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A Generalised Method for Empirical Game Theoretic Analysis
Tuyls, K., Perolat, J., Lanctot, M., Leibo, J. Z. & Graepel, T · 2018
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Symmetric decomposition of asymmetric games
Tuyls, K. et al · 2018
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The exact computational complexity of evolutionarily stable strategies
Conitzer, V · 2018
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Re-evaluating Evaluation
Balduzzi, D., Tuyls, K., Perolat, J. & Graepel, T · 2018
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A cloaking mechanism to mitigate market manipulation
Wang, X., Vorobeychik, Y. & Wellman, M · 2018
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Evolutionary dynamics in the public goods games with switching between punishment and exclusion
Liu, L., Wang, S., Chen, X. & Perc, M · 2018
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Evolutionary dynamics of cooperation in neutral populations
Szolnoki, A. & Perc, M · 2018
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The Betting Odds Rating System: Using soccer forecasts to forecast soccer
F, W. & D, M · 2018
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Emergent coordination through competition
Liu, S. et al · 2019
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