Feature-weighted categorized play across symmetric games
Tóm tắt
Experimental game theory studies the behavior of agents who face a stream of one-shot games as a form of learning. Most literature focuses on a single recurring identical game. This paper embeds single-game learning in a broader perspective, where learning can take place across similar games. We posit that agents categorize games into a few classes and tend to play the same action within a class. The agent’s categories are generated by combining game features (payoffs) and individual motives. An individual categorization is experience-based, and may change over time. We demonstrate our approach by testing a robust (parameter-free) model over a large body of independent experimental evidence over
$$2 \times 2$$
symmetric games. The model provides a very good fit across games, performing remarkably better than standard learning models.
Tài liệu tham khảo
Ahn, T., Ostrom, E., Schmidt, D., Shupp, R., & Walker, J. (2001). Cooperation in PD games: Fear, greed, and history of play. Public Choice, 106, 137–155.
Andreoni, J., & Miller, J. H. (1993). Rational cooperation in the finitely repeated prisoners dilemma: Experimental evidence. Economic Journal, 103(418), 570–585.
Boylan, R. T., & El-Gamal, M. (1993). Fictitious play: A statistical study of multiple economic experiments. Games and Economic Behavior, 5(2), 205–222.
Camerer, C. F., & Ho, T.-H. (1999). Experience-weighted attraction learning in normal form games. Econometrica, 67(4), 827–874.
Chmura, T., Goerg, S. J., & Selten, R. (2012). Learning in experimental \(2\times 2\) games. Games and Economic Behavior, 76, 44–73.
Cooper, R., DeJong, D. V., Forsythe, R., & Ross, T. W. (1990). Selection criteria in coordination games: Some experimental results. The American Economic Review, 80(1), 218–233.
Crawford, V. P. (2002). Introduction to experimental game theory. Journal of Economic Theory, 104, 1–15.
Daskalova, V., & Vriend, N. J. (2021). Learning frames. Journal of Economic Behavior & Organization, 191, 78–96.
Davis, L. H. (1977). Prisoners, paradox, and rationality. American Philosophical Quarterly, 14, 319–327.
Devetag, G., & Warglien, M. (2008). Playing the wrong game: An experimental analysis of relational complexity and strategic misrepresentation. Games and Economic Behavior, 62, 364–382.
Duffy, J., & Fehr, D. (2018). Equilibrium selection in similar repeated games: Experimental evidence on the role of precedents. Experimental Economics, 21, 573–600.
Erev, I., & Roth, A. E. (1998). Predicting how people play games: Reinforcement learning in experimental games with unique, mixed strategy equilibria. American Economic Review, 88(4), 848–881.
Feltovich, N. (2000). Reinforcement-based vs. belief-based learning models in experimental asymmetric-information games. Econometrica, 68(3), 605–641.
Flache, A., & Macy, M. W. (2006). Learning and framing in social exchange. In B. B. Detlef Fetchenhauer, Andreas Flache, & S. Lindenberg (Eds.), Solidarity and Prosocial Behavior. New York: Springer.
Gibbons, R., LiCalzi, M., & Warglien, M. (2021). What situation is this? Coarse cognition and behavior over a space of games. Strategy Science, 6, 124–140.
Gilboa, I., & Schmeidler, D. (1995). Case-based decision theory. Quarterly Journal of Economics, 110, 605–639.
Gilboa, I., & Schmeidler, D. (2001). A theory of case-based decisions. Cambridge (UK): Cambridge University Press.
Grimm, V., & Mengel, F. (2012). An experiment on learning in a multiple games environment. Journal of Economic Theory, 147, 2220–2259.
Hagenbach, J., & Koessler, F. (2020). Cheap talk with coarse understanding. Games and Economic Behavior, 124, 105–121.
Haruvy, E., & Stahl, D. O. (2012). Between-game rule learning in dissimilar symmetric normal-form games. Games and Economic Behavior, 74(1), 208–221.
Heller, Y., & Winter, E. (2016). Rule rationality. International Economic Review, 57(3), 997–1026.
Ho, T.-H., Camerer, C. F., & Chong, J.-K. (2007). Self-tuning experience weighted attraction learning in games. Journal of Economic Theory, 133, 177–198.
Hofstadter, D. R. (1983). Metamagical themas. Scientific American, 248, 14–29.
Jehiel, P. (2005). Analogy-based expectation equilibrium. Journal of Economic Theory, 123, 81–104.
Jehiel, P. (2020). Analogy-based expectation equilibrium and related concepts: Theory, applications, and beyond. 6th October 2020.
Knez, M., & Camerer, C. F. (2000). Increasing cooperation in prisoners dilemmas by establishing a precedent of efficiency in coordination games. Organizational Behavior and Human Decision Processes, 82(2), 194–216.
Lensberg, T., & Schenk-Hoppé, K. R. (2021). Cold play: Learning across bimatrix games. Journal of Economic Behavior and Organization, 185, 419–441.
LiCalzi, M., & Mühlenbernd, R. (2019). Categorization and cooperation across games. Games, 10.
Mengel, F. (2012). Learning across games. Games and Economic Behavior, 74(2), 601–619.
Mengel, F. (2018). Risk and temptation: A meta-study on prisoners dilemma games. Economic Journal, 128(616), 3182–3209.
Mullainathan, S., Schwartzstein, J., & Shleifer, A. (2008). Coarse thinking and persuasion. Quarterly Journal of Economics, 123, 577–619.
Peysakhovich, A., & Rand, D. G. (2016). Habits of virtue: Creating norms of cooperation and defection in the laboratory. Management Science, 62(3), 631–647.
Rankin, F. W., Van Huyck, J. B., & Battalio, R. C. (2000). Strategic similarity and emergent conventions: Evidence from similar stag hunt games. Games and Economic Behavior, 32, 315–337.
Rapoport, A. (1966). Two-Person Game Theory. Ann Arbor: University of Michigan Press.
Rapoport, A., & Guyer, M. (1966). A taxonomy of \(2 \times 2\) games. General Systems, 11, 203–214.
Roth, A. E., & Erev, I. (1995). Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term. Games and Economic Behavior, 8, 164–212.
Rusch, H., & Luetge, C. (2016). Spillovers from coordination to cooperation: Evidence for the interdependence hypothesis? Evolutionary Behavioral Science, 10(4), 284–296.
Samuelson, L. (2001). Analogies, adaptation, and anomalies. Journal of Economic Theory, 97, 320–366.
Schmidt, D., Shupp, R., Walker, J., Ahn, T., & Ostrom, E. (2001). Dilemma games: Game parameters and matching protocols. Journal of Economic Behavior and Organization, 46, 357–377.
Selten, R. (1998). Axiomatic characterization of the quadratic scoring rule. Experimental Economics, 1, 43–62.
Selten, R., Abbink, K., Buchta, J., & Sadrieh, A. (2003). How to play \(3\times 3\) games. A strategy method experiment. Games and Economic Behavior, 45, 19–37.
Steiner, J., & Stewart, C. (2008). Contagion through learning. Theoretical Economics, 3, 431–458.
Sutton, R., & Barto, A. (1998). Reinforcement Learning: An Introduction. Cambridge, MA: The MIT Press.
Van Huyck, J. B., & Stahl, D. O. (2018). Conditional behavior and learning in similar stag hunt games. Experimental Economics, 21, 513–526.