Game theory
October 13, 2016 — April 24, 2017
bounded compute
cooperation
economics
game theory
incentive mechanisms
mind
Suspiciously similar content
I have nothing to say about foundational game theory itself, except to note that JD Williams’ book, The Compleat Strategyst (Williams 1966) is online for free, so you should get it.
How long until we approach Nash equilibrium, also includes a note on Aumann’s correlated equilibrium which I would like to know about.
1 Shapley value
The Shapley value is a model of fair distribution of the proceeds of a coalition game. Ends up being interesting for feature selection and collective action problems and model explanation. TBC
2 Bargaining
3 References
Alchian. 1950. “Uncertainty, Evolution, and Economic Theory.” The Journal of Political Economy.
Arthur. 1994. “Inductive Reasoning and Bounded Rationality: The El Farol Problem.” American Economic Review.
Aumann. 1974. “Subjectivity and Correlation in Randomized Strategies.” Journal of Mathematical Economics.
Axelrod. 1984. The evolution of cooperation.
Bednar, and Page. 2000. “Can Game(s) Theory Explain Culture? The Emergence of Cultural Behavior Within Multiple Games.”
Blume. 1993. “The Statistical Mechanics of Strategic Interaction.” Games and Economic Behavior.
Brockhurst, Buckling, and Gardner. 2007. “Cooperation Peaks at Intermediate Disturbance.” Current Biology.
Cai, Daskalakis, and Weinberg. 2013. “Understanding Incentives: Mechanism Design Becomes Algorithm Design.” arXiv:1305.4002 [Cs].
Castellano, Fortunato, and Loreto. 2009. “Statistical Physics of Social Dynamics.” Reviews of Modern Physics.
Cesa-Bianchi, and Lugosi. 2006. Prediction, Learning, and Games.
Chaitin. 1977. “Algorithmic Information Theory.” IBM Journal of Research and Development.
Crawford, and Sobel. 1982. “Strategic Information Transmission.” Econometrica: Journal of the Econometric Society.
Daskalakis, Deckelbaum, and Tzamos. 2012a. “Optimal Pricing Is Hard.” In Internet and Network Economics.
———. 2012b. “The Complexity of Optimal Mechanism Design.” arXiv:1211.1703 [Cs].
———. 2013. “Mechanism Design via Optimal Transport.” In.
Durlauf. 1996. “Statistical Mechanics Approaches to Socioeconomic Behavior.”
Fosco, and Mengel. 2010. “Cooperation Through Imitation and Exclusion in Networks.” Journal of Economic Dynamics and Control.
Foster, and Young. 2006. “Regret Testing: Learning to Play Nash Equilibrium Without Knowing You Have an Opponent.” Theoretical Economics.
Fox, MacDermott, Hammond, et al. 2023. “On Imperfect Recall in Multi-Agent Influence Diagrams.” Electronic Proceedings in Theoretical Computer Science.
Galla, and Farmer. 2011. “Complex Dynamics in Learning Complicated Games.” Complex Dynamics in Learning Complicated Games.
Gammerman. 2004. Algorithmic Learning in a Random World.
Gammerman, and Vovk. 2007. “Hedging Predictions in Machine Learning.” The Computer Journal.
Greenblatt, Shlegeris, Sachan, et al. 2024. “AI Control: Improving Safety Despite Intentional Subversion.”
Hammond, Fox, Everitt, et al. 2023. “Reasoning about Causality in Games.” Artificial Intelligence.
Insua, Rios, and Banks. 2009. “Adversarial Risk Analysis.” Journal of the American Statistical Association.
Jackson, Matthew O. 2008. Social and Economic Networks.
Jackson, Matthew O. 2011. “A Brief Introduction to the Basics of Game Theory.” SSRN Electronic Journal.
Latek, Axtell, and Kaminski. 2009. “Bounded Rationality via Recursion.” In.
Lazaric, and Raybaut. 2004. “Knowledge Creation Facing Hierarchy: The Dynamics of Groups Inside the Firm.” Journal of Artificial Societies and Social Simulation.
Le, and Boyd. 2007. “Evolutionary Dynamics of the Continuous Iterated Prisoner’s Dilemma.” Journal of Theoretical Biology.
Linial. 1994. “Game-Theoretic Aspects of Computing.” In Handbook of Game Theory with Economic Applications.
McElreath, and Boyd. 2007. Mathematical Models of Social Evolution: A Guide for the Perplexed.
Mesquita. 2010. The Predictioneer’s Game: Using the Logic of Brazen Self-Interest to See and Shape the Future.
Moral Sentiments and Material Interests: The Foundations of Cooperation in Economic Life. 2006.
Nowak, and Krakauer. 1999. “The Evolution of Language.” Proceedings of the National Academy of Sciences of the United States of America.
Nowak, Plotkin, and Krakauer. 1999. “The Evolutionary Language Game.” Journal of Theoretical Biology.
Ohsawa. 2021. “Unbiased Self-Play.” arXiv:2106.03007 [Cs, Econ, Stat].
Ostrom. 1990. Governing the Commons: The Evolution of Institutions for Collective Action (Political Economy of Institutions and Decisions).
Pluchino, Rapisarda, and Garofalo. 2010. “The Peter Principle Revisited: A Computational Study.” Physica A: Statistical Mechanics and Its Applications.
Rennard. 2006. Handbook of Research on Nature-Inspired Computing for Economics and Management.
Richards. 2001. “Coordination and Shared Mental Models.” American Journal of Political Science.
Roca, Cuesta, and Sánchez. 2006. “Time Scales in Evolutionary Dynamics.” Physical Review Letters.
Roughgarden, Tim. 2018. “Complexity Theory, Game Theory, and Economics.” arXiv:1801.00734 [Cs, Econ].
Roughgarden, Joan, Oishi, and Akçay. 2006. “Reproductive Social Behavior: Cooperative Games to Replace Sexual Selection.” Science.
Rubinstein. 2000. Economics and Language.
Sadrieh. 1998. The Alternating Double Auction Market: A Game Theoretic and Experimental Investigation (Lecture Notes in Economics and Mathematical Systems).
Sanders, Galla, and Shapiro. 2011. “Effects of Noise on Convergent Game Learning Dynamics.” arXiv:1109.4853.
Sato, Akiyama, and Farmer. 2002. “Chaos in Learning a Simple Two-Person Game.” Proceedings of the National Academy of Sciences.
Sato, and Crutchfield. 2003. “Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems.” Physical Review E.
Schotter. 2008. The Economic Theory of Social Institutions.
Sethi, and Somanathan. 1996. “The Evolution of Social Norms in Common Property Resource Use.” The American Economic Review.
Shafer, and Vovk. 2001. “Introduction: Probability and Finance as a Game.” In Probability and Finance: It’s Only a Game!
———. 2008. “A Tutorial on Conformal Prediction.” Journal of Machine Learning Research.
Slobodkin, and Rapoport. 1974. “An Optimal Strategy of Evolution.” The Quarterly Review of Biology.
Spence. 1973. “Job Market Signaling.” The Quarterly Journal of Economics.
———. 2002. “Signaling in Retrospect and the Informational Structure of Markets.” American Economic Review.
Tooby, Cosmides, and Price. 2006. “Cognitive Adaptations Forn-Person Exchange: The Evolutionary Roots of Organizational Behavior.” Managerial and Decision Economics.
Vincent. 2006. “Carcinogenesis As an Evolutionary Game.” Advances in Complex Systems.
Vovk, Nouretdinov, and Gammerman. 2009. “On-Line Predictive Linear Regression.” The Annals of Statistics.
Wolpert, Harré, Olbrich, et al. 2010. “Hysteresis Effects of Changing Parameters of Noncooperative Games.” SSRN eLibrary.
Wu, Altrock, Wang, et al. 2010. “Universality of Weak Selection.”
Yanagita, and Onozaki. 2008. “Dynamics of a Market with Heterogeneous Learning Agents.” Journal of Economic Interaction and Coordination.
Yang, Lin, Wu, et al. 2011. “Topological Conditions of Scale-Free Networks for Cooperation to Evolve.” arXiv:1106.5386.
Young. 1996. “The Economics of Convention.” The Journal of Economic Perspectives.
———. 1998a. “Conventional Contracts.” The Review of Economic Studies.
———. 1998c. “Social Norms and Economic Welfare.” European Economic Review.
———. 2002. “The Diffusion of Innovations in Social Networks.”
———. 2005. “The Spread of Innovations Through Social Learning.”
———. 2006. “Social Dynamics: Theory and Applications.” Handbook of Computational Economics.