The Belief Roadmap: Efficient Planning in Belief Space by Factoring the Covariance by Roy, Nicholas, Prentice, Samuel James

“…This factored form allows several prediction and measurement steps to be combined into a single linear transfer function, leading to very efficient posterior belief prediction during planning. We give a belief-space variant of the Probabilistic Roadmap algorithm called the Belief Roadmap (BRM) and show that the BRM can compute plans substantially faster than conventional belief space planning. …”
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Iterated Belief Revision by Stalnaker, Robert

“…This is a discussion of the problem of extending the basic AGM belief revision theory to iterated belief revision: the problem of formulating rules, not only for revising a basic belief state in response to potential new information, but also for revising one’s revision rules in response to potential new information. …”
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Transparency, Belief, Intention by Byrne, Alex

“…This paper elaborates and defends a familiar ‘transparent’ account of knowledge of one’s own beliefs, inspired by some remarks of Gareth Evans, and makes a case that the account can be extended to mental states in general, in particular to knowledge of one’s intentions. …”
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Organizational Beliefs and Managerial Vision by Van den Steen, Eric

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Mechanism design with set-theoretic beliefs by Chen, Jing, Micali, Silvio

“…In settings of incomplete information, we put forward (1) a very conservative -- indeed, purely set-theoretic -- model of the beliefs (including totally wrong ones) that each player may have about the payoff types of his opponents, and (2) a new and robust solution concept, based on mutual belief of rationality, capable of leveraging such conservative beliefs. …”
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Possibilistic beliefs and higher-level rationality by Chen, Jing, Micali, Silvio, Pass, Rafael

“…We consider rationality and rationalizability for normal-form games of incomplete information in which the players have possibilistic beliefs about their opponents. In this setting, we prove that the strategies compatible with the players being level-k rational coincide with the strategies surviving a natural k-step iterated elimination procedure. …”
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On the Origin of Shared Beliefs (and Corporate Culture) by Van den Steen, Eric

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Belief Propagation and Revision in Networks with Loops by Weiss, Yair

“…Local belief propagation rules of the sort proposed by Pearl(1988) are guaranteed to converge to the optimal beliefs for singly connected networks. …”
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Mechanism Design with Set-Theoretic Beliefs by Chen, Jing, Micali, Silvio

“…In settings of incomplete information, we put forward (1) a very conservative -- indeed, purely set-theoretic -- model of the beliefs (including totally wrong ones) that each player may have about the payoff types of his opponents, and (2) a new and robust solution concept, based on mutual belief of rationality, capable of leveraging such conservative beliefs. …”
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Approximating the Permanent with Fractional Belief Propagation by Chertkov, Michael, Yedidia, Adam B.

“…Specifically, we analyze the belief propagation (BP) approach and its fractional belief propagation (FBP) generalization for computing the permanent of a non-negative matrix. …”
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A Welfare Criterion For Models With Distorted Beliefs by Brunnermeier, Markus K., Simsek, Alp, Xiong, Wei

“…This article proposes a welfare criterion for economies in which agents have heterogeneously distorted beliefs. Instead of taking a stand on whose belief is correct, our criterion asserts that an allocation is belief-neutral efficient (inefficient) if it is efficient (inefficient) under any convex combination of agents’ beliefs. …”
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Leveraging Possibilistic Beliefs in Unrestricted Combinatorial Auctions by Chen, Jing, Micali, Silvio

“…In unrestricted combinatorial auctions, we put forward a mechanism that guarantees a meaningful revenue benchmark based on the possibilistic beliefs that the players have about each other’s valuations. …”
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Leveraging possibilistic beliefs in unrestricted combinatorial auctions by Chen, Jing, Micali, Silvio

“…In unrestricted combinatorial auctions, we put forward a mechanism that guarantees a meaningful revenue benchmark based on the possibilistic beliefs that the players have about each other’s valuations. …”
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Nonparametric Belief Propagation and Facial Appearance Estimation by Sudderth, Erik B., Ihler, Alexander T., Freeman, William T., Willsky, Alan S.

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Efficient Semantic Communication via Compatible Beliefs by Juba, Brendan Andrew, Sudan, Madhu

“…Roughly, we measure the performance of users and servers against their own “beliefs” about natural protocols. We show that if user and server are efficient with respect to their own beliefs and their beliefs are (even just slightly) compatible with each other, then they can achieve their goals very efficiently. …”
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Mean Field Theory for Sigmoid Belief Networks by Saul, Lawrence K., Jaakkola, Tommi, Jordan, Michael I.

“…We develop a mean field theory for sigmoid belief networks based on ideas from statistical mechanics. …”
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Heterogeneous Beliefs, Rare Disasters, and Asset Pricing by Chen, Hui, Joslin, Scott Stephen Walter, Tran, Ngoc-Khanh

“…We illustrate the effects of heterogeneous beliefs about disasters on the equity premium and individual agents’ trading activities. …”
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Rare Disasters and Risk Sharing with Heterogeneous Beliefs by Chen, Hui, Joslin, Scott Stephen Walter, Tran, Ngoc-Khanh

“…The model also helps reconcile the difference in the amount of disaster risk implied by financial markets and international macroeconomic data, and provides caution to the approach of extracting disaster probabilities from asset prices, which will disproportionately reflect the beliefs of a small group of optimists. Finally, our model predicts an inverse U-shaped relation between the equity premium and the size of the disaster insurance market.…”
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Integrated task and motion planning in belief space by Kaelbling, Leslie P., Lozano-Perez, Tomas

“…We develop a vocabulary of logical expressions that describe sets of belief states, which are goals and subgoals in the planning process. …”
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Optimal Time-Inconsistent Beliefs: Misplanning, Procrastination, and Commitment by Brunnermeier, Markus K., Papakonstantinou, Filippos, Parker, Jonathan A.

“…We develop a structural theory of beliefs and behavior that relaxes the assumption of time consistency in beliefs. …”
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