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Journal ArticleDOI

A spectrum of equilibration processes in game theory

Bernard Walliser
- 19 Mar 1998 - 
- Vol. 8, Iss: 1, pp 67-87
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TLDR
In game theory, four dynamic processes converging towards an equilibrium are distinguished and ordered by way of agents' decreasing cognitive capacities as discussed by the authors, and each player has enough information to simulate perfectly the others' behavior and gets immediately to the equilibrium.
Abstract
In game theory, four dynamic processes converging towards an equilibrium are distinguished and ordered by way of agents' decreasing cognitive capacities. In the eductive process, each player has enough information to simulate perfectly the others' behavior and gets immediately to the equilibrium. In epistemic learning, each player updates his beliefs about others' future strategies, with regard to their sequentially observed actions. In behavioral learning, each player modifies his own strategies according to the observed payoffs obtained from his past actions. In the evolutionary process, each agent has a fixed strategy and reproduces in proportion to the utilities obtained through stochastic interactions. All along the spectrum, longer term dynamics makes up for weaker rationality, and physical relations substitute for mental interactions. Convergence, if any, is towards an always stronger equilibrium notion and selection of an equilibrium state becomes more sensitive to context and history. The processes can be mixed if associated to different periods, agents or mechanisms and deepened if obtained by formal reasoning principles.

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Citations
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Journal ArticleDOI

Computer game-based and traditional learning method: a comparison regarding students’ knowledge retention

TL;DR: The game-based learning method is comparable to the traditional learning method in general and in short-term gains, while the traditional lecture still seems to be more effective to improve students’ short and long-term knowledge retention.
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Assessing the educational values of digital games

TL;DR: This research provided a preliminary framework for future game designers, parents and teachers in assessing educational values of digital games.
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A Behavioral Learning Process in Games

TL;DR: The so-called CPR learning rule and the dynamic process it induces are formally stated and compared to other reinforcement rules as well as to fictitious play or the replicator dynamics.
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A novel matrix game with payoffs of Maxitive Belief Structure

TL;DR: The proposed model can be used to describe interactions among players, and an effective method is developed to find the solution of a game through reaching an equilibrium point.
Journal ArticleDOI

Reinforcement learning in the El Farol model

TL;DR: This article applied reinforcement learning to the El Farol problem, where repeatedly a population of agents decide to go to a bar or stay home, and going is enjoyable if, and only if, the bar is not crowded.
References
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Book

Evolution and the Theory of Games

TL;DR: A modification of the theory of games, a branch of mathematics first formulated by Von Neumann and Morgenstern in 1944 for the analysis of human conflicts, was proposed in this paper.
Book

The Strategy of Conflict

TL;DR: In this paper, the authors propose a theory of interdependent decision based on the Retarded Science of International Strategy (RSIS) for non-cooperative games and a solution concept for "noncooperative" games.
Book

Evolutionary Game Theory

TL;DR: Weibull as discussed by the authors introduces evolutionary game theory, where ideas from evolutionary biology and rationalistic economics meet, emphasizing the links between static and dynamic approaches and non-cooperative game theory.
Book

Models of bounded rationality

TL;DR: In this paper, the authors discuss the structure of complex systems: Causal ordering - causality in economic models causal ordering, comparative statics, and near decomposability, causality and model abstraction, simulating large systems - simulation of large-scale systems by aggregation prediction and prescription in systems modelling.