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Open AccessJournal ArticleDOI

Networks of influence diagrams: a formalism for representing agents' beliefs and decision-making processes

Ya'akov Gal, +1 more
- 01 Sep 2008 - 
- Vol. 33, Iss: 1, pp 109-147
TLDR
This paper presents Networks of Influence Diagrams (NID), a compact, natural and highly expressive language for reasoning about agents' beliefs and decision-making processes that makes an explicit distinction between agents' optimal strategies, and how they actually behave in reality.
Abstract
This paper presents Networks of Influence Diagrams (NID), a compact, natural and highly expressive language for reasoning about agents' beliefs and decision-making processes. NIDs are graphical structures in which agents' mental models are represented as nodes in a network; a mental model for an agent may itself use descriptions of the mental models of other agents. NIDs are demonstrated by examples, showing how they can be used to describe conflicting and cyclic belief structures, and certain forms of bounded rationality. In an opponent modeling domain, NIDs were able to outperform other computational agents whose strategies were not known in advance. NIDs are equivalent in representation to Bayesian games but they are more compact and structured than this formalism. In particular, the equilibrium definition for NIDs makes an explicit distinction between agents' optimal strategies, and how they actually behave in reality.

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References
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Book

Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference

TL;DR: Probabilistic Reasoning in Intelligent Systems as mentioned in this paper is a complete and accessible account of the theoretical foundations and computational methods that underlie plausible reasoning under uncertainty, and provides a coherent explication of probability as a language for reasoning with partial belief.
Journal ArticleDOI

A Behavioral Model of Rational Choice

TL;DR: In this article, a model for the description of rational choice by organisms of limited computational ability is proposed, and the model is used to describe rational choice in organisms with limited computational abilities.
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Behavioral Game Theory: Experiments in Strategic Interaction

TL;DR: The first substantial and authoritative effort to close this gap was made by Camerer, who used psychological principles and hundreds of experiments to develop mathematical theories of reciprocity, limited strategizing, and learning, which help predict what real people and companies do in strategic situations as discussed by the authors.
Journal ArticleDOI

Games with Incomplete Information Played by Bayesian Players, I-III

TL;DR: The paper develops a new theory for the analysis of games with incomplete information where the players are uncertain about some important parameters of the game situation, such as the payoff functions, the strategies available to various players, the information other players have about the game, etc.
Journal Article

Bounded rationality: The adaptive toolbox

TL;DR: In this article, the concept of adaptive toolboxes is used to describe a set of fast and frugal rules for decision making under uncertainty, and the strategies in the adaptive toolbox dispense with optimization and, for the most part, with calculations of probabilities and utilities.
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