Decision theory

Related papers: 20

About

Decision theory is a mathematical framework for making optimal choices under uncertainty by formally representing actions, possible outcomes, and their associated probabilities and utilities. Rooted in probability theory and expected utility maximization, it provides principled methods for selecting actions that best achieve a given goal when the consequences of those actions are not fully predictable. In robotics and AI, decision theory underpins a wide range of applications including autonomous navigation, probabilistic search, sensor selection, and multi-agent coordination. It integrates naturally with planning frameworks such as Markov Decision Processes (MDPs), Bayesian inference, and the situation calculus, enabling robots to reason about sequences of actions over time while accounting for uncertainty in perception, environment dynamics, and human behavior. Extensions like Conformal Decision Theory and quasi-Bayesian approaches address real-world challenges such as imperfect predictions and partial ignorance. Decision theory matters because it replaces ad hoc heuristics with rigorous, mathematically grounded principles for autonomous behavior. By quantifying trade-offs between risk and reward, it enables robots and AI systems to act rationally in complex, uncertain environments, forming the theoretical backbone of modern intelligent autonomous systems.

Top Cited Papers

A Decision-Making Framework for Control Strategies in Probabilistic Search

Timothy H. Chung, Joel W. Burdick

Citations: 69 • 2007

Decision Theory, the Situation Calculus and Conditional Plans

David Poole

Citations: 47 • 1998

Measurement-theoretic frameworks for fuzzy set theory with applications to preference modelling

İ.B. Türkşen, Taner Bi̇lgi̇ç

Citations: 21 • 1996

Learning Probabilistic Models for Decision-Theoretic Navigation of Mobile Robots

Daniel Nikovski, Illah Nourbakhsh

Citations: 18 • 2000

A Bayesian decision theoretic approach for adaptive goal-directed sensing

Haicheng Wu, A. Cameron

Citations: 17 • 2002

Conformal Decision Theory: Safe Autonomous Decisions from Imperfect Predictions

Jordan Lekeufack, Anastasios N. Angelopoulos, Andrea Bajcsy, Michael I. Jordan, Jitendra Malik

Citations: 15 • 2024

Expected Utility Theory For Monitoring-Based Decision Support System

Daniel Tonelli, Andrea Verzobio, Carlo Cappello, Denise Bolognani, Daniele Zonta, Oreste S. Bursi, Carlo Costa

Citations: 14 • 2017

Combining decision theory and hierarchical planning for a time-dependent robotic application

Piotr J. Gmytrasiewicz, Edmund H. Durfee, D.K. Wehe

Citations: 12 • 2002

A Framework for Decision-Theoretic Planning I: Combining the Situation Calculus, Conditional Plans, Probability and Utility

David Poole

Citations: 11 • 2013

Quasi-Bayesian Strategies for Efficient Plan Generation: Application to the Planning to Observe Problem

Fábio Gagliardi Cozman, Eric Krotkov

Citations: 7 • 2013

The Utility of Affect in the Selection of Actions and Goals Under Real-World Constraints.

Paul Schermerhorn, Matthias Scheutz

Citations: 5 • 2009

Predicting Human Operator’s Decisions Based on Prospect Theory

Paulo Eduardo Ubaldino de Souza, Caroline Ponzoni Carvalho Chanel, Mélody Mailliez, Frédéric Dehais

Citations: 5 • 2020

Cognitive Science as a Source of Forward and Inverse Models of Human Decisions for Robotics and Control

Mark K. Ho, Thomas L. Griffiths

Citations: 4 • 2021

Decision dynamics in cooperative search based on evolutionary game theory

Masayuki Fujita, Takeshi Hatanaka, Mamoru Saitō

Citations: 2 • 2011

A Heuristic Search Algorithm for Acting Optimally in Markov Decision Processes with Deterministic Hidden State

Jamieson Schulte, Sebastian Thrun

Citations: 2 • 2001

Decision-theoretic transformational planning

Michael Beetz

Citations: 2 • 1992

Deciding under partial ignorance

Frans Voorbraak

Citations: 2 • 2002

Online Structure, Parameter, and Utility Updating of Bayesian Decision Networks for Cooperative Decision-Theoretic Agents

Iheanyi C. Umez-Eronini

Citations: 2 • 2007

Sensible decisions: toward a theory of decision-theoretic information invariants

Keiji Kanazawa

Citations: 2 • 1994

Anticipatory Networks: Concepts and Selected Applications

Andrzej M. J. Skulimowski

Citations: 1 • 2025