Scalar reward is not enough: A response to Silver, Singh, Precup and Sutton (2021)
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Abstract (arXiv)
The recent paper `"Reward is Enough" by Silver, Singh, Precup and Sutton posits that the concept of reward maximisation is sufficient to underpin all intelligence, both natural and artificial. We contest the underlying assumption of Silver et al. that such reward can be scalar-valued. In this paper we explain why scalar rewards are insufficient to account for some aspects of both biological and computational intelligence, and argue in favour of explicitly multi-objective models of reward maximisation. Furthermore, we contend that even if scalar reward functions can trigger intelligent behaviour in specific cases, it is still undesirable to use this approach for the development of artificial general intelligence due to unacceptable risks of unsafe or unethical behaviour.
Key facts. Cited by 55 papers in the map (data through 7 Oct 2026). Builds on 17 of its 85 references that are in the map. First posted on arXiv 25 Nov 2021.
Builds on
17 of 85 references.
References · 17
- 2016Concrete Problems in AI Safetycited by 1,582
- 2016Successor Features for Transfer in Reinforcement Learningcited by 331
- 2021A Practical Guide to Multi-Objective Reinforcement Learning and Planningcited by 240
- 2014A Survey of Multi-Objective Sequential Decision-Makingcited by 229
- 2018TarMAC: Targeted Multi-Agent Communicationcited by 201
- 2017Emergence of Language with Multi-agent Games: Learning to Communicate with Sequences of Symbolscited by 123
- 2017AI Safety Gridworldscited by 108
- 2018Dynamic Weights in Multi-Objective Deep Reinforcement Learningcited by 96
- 2020A Distributional View on Multi-Objective Policy Optimizationcited by 51
- 2019Multi-Objective Multi-Agent Decision Making: A Utility-based Analysis and Surveycited by 45
- 2020Avoiding Side Effects By Considering Future Taskscited by 32
- 2018AGI Safety Literature Reviewcited by 28
5 more
- 2021Explainable Reinforcement Learning for Broad-XAI: A Conceptual Framework and Surveycited by 24
- 2021Levels of explainable artificial intelligence for human-aligned conversational explanationscited by 21
- 2016Superintelligence cannot be contained: Lessons from Computability Theorycited by 13
- 2020A utility-based analysis of equilibria in multi-objective normal form gamescited by 9
- 2017Identification and Off-Policy Learning of Multiple Objectives Using Adaptive Clusteringcited by 4
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Citing papers per year: 2022: 7; 2023: 7; 2024: 19; 2025: 12; 2026: 10.
55 papers.
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- 2023Open Problems and Fundamental Limitations of Reinforcement Learning from Human Feedbackcited by 743
- 2024Beyond Preferences in AI Alignmentcited by 46
- 2023Beyond Reward: Offline Preference-guided Policy Optimizationcited by 35
- 2024Comprehensive Overview of Reward Engineering and Shaping in Advancing Reinforcement Learning Applicationscited by 34
- 2023Multi-Objective Reinforcement Learning Based on Decomposition: A Taxonomy and Frameworkcited by 28
- 2022Optimistic Linear Support and Successor Features as a Basis for Optimal Policy Transfercited by 22
- 2022COOL-MC: A Comprehensive Tool for Reinforcement Learning and Model Checkingcited by 19
- 2022On the link between conscious function and general intelligence in humans and machinescited by 15
- 2024PUZZLES: A Benchmark for Neural Algorithmic Reasoningcited by 12
- 2022Safe Reinforcement Learning From Pixels Using a Stochastic Latent Representationcited by 11
- 2025Evolution and The Knightian Blindspot of Machine Learningcited by 11
- 2024On the Limitations of Markovian Rewards to Express Multi-Objective, Risk-Sensitive, and Modal Taskscited by 9
38 more
- 2024Regularized Conditional Diffusion Model for Multi-Task Preference Alignmentcited by 9
- 2024Safety-Oriented Pruning and Interpretation of Reinforcement Learning Policiescited by 9
- 2023Consistent Aggregation of Objectives with Diverse Time Preferences Requires Non-Markovian Rewardscited by 8
- 2025On Generalization Across Environments In Multi-Objective Reinforcement Learningcited by 8
- 2024Thresholded Lexicographic Ordered Multiobjective Reinforcement Learningcited by 7
- 2024LLMs can learn self-restraint through iterative self-reflectioncited by 6
- 2024Enhancing RL Safety with Counterfactual LLM Reasoningcited by 6
- 2024Multi-objective Deep Learning: Taxonomy and Survey of the State of the Artcited by 6
- 2022Targeted Adversarial Attacks on Deep Reinforcement Learning Policies via Model Checkingcited by 5
- 2023Prioritized Soft Q-Decomposition for Lexicographic Reinforcement Learningcited by 5
- 2024Probabilistic Model Checking of Stochastic Reinforcement Learning Policiescited by 5
- 2024Towards Aligning Language Models with Textual Feedbackcited by 5
- 2022Monte Carlo Tree Search Algorithms for Risk-Aware and Multi-Objective Reinforcement Learningcited by 4
- 2023Intent-aligned AI systems deplete human agency: the need for agency foundations research in AI safetycited by 4
- 2024Utility-Based Reinforcement Learning: Unifying Single-objective and Multi-objective Reinforcement Learningcited by 4
- 2024Multi-objective Reinforcement Learning: A Tool for Pluralistic Alignmentcited by 4
- 2025EMORL: Ensemble Multi-Objective Reinforcement Learning for Efficient and Flexible LLM Fine-Tuningcited by 4
- 2022Multi-Objective Coordination Graphs for the Expected Scalarised Returns with Generative Flow Modelscited by 3
- 2024Context-Former: Stitching via Latent Conditioned Sequence Modelingcited by 3
- 2025Turn-based Multi-Agent Reinforcement Learning Model Checkingcited by 3
- 2025Increasing Interaction Fidelity: Training Routines for Biomechanical Models in HCIcited by 3
- 2026Beyond Rewards in Reinforcement Learning for Cyber Defencecited by 3
- 2026Formally Verifying and Explaining Sepsis Treatment Policies with COOL-MCcited by 3
- 2023Learning Roles with Emergent Social Value Orientationscited by 2
- 2024An Empirical Investigation of Value-Based Multi-objective Reinforcement Learning for Stochastic Environmentscited by 2
- 2025Co-Activation Graph Analysis of Safety-Verified and Explainable Deep Reinforcement Learning Policiescited by 2
- 2025Beyond Scalar Rewards: An Axiomatic Framework for Lexicographic MDPscited by 2
- 2024From homeostasis to resource sharing: Biologically and economically aligned multi-objective multi-agent gridworld-based AI safety benchmarkscited by 1
- 2024Intuitions of Compromise: Utilitarianism vs. Contractualismcited by 1
- 2025BioBlue: Systematic runaway-optimiser-like LLM failure modes on biologically and economically aligned AI safety benchmarks for LLMs with simplified observation formatcited by 1
- 2024Combinatorial Client-Master Multiagent Deep Reinforcement Learning for Task Offloading in Mobile Edge Computingcited by 0
- 2025Aligning LLMs on a Budget: Inference-Time Alignment with Heuristic Reward Modelscited by 0
- 2025Balancing Specialization and Centralization: A Multi-Agent Reinforcement Learning Benchmark for Sequential Industrial Controlcited by 0
- 2025MOMA-AC: A preference-driven actor-critic framework for continuous multi-objective multi-agent reinforcement learningcited by 0
- 2025Formal Verification of Noisy Quantum Reinforcement Learning Policiescited by 0
- 2026Progress Constraints for Reinforcement Learning in Behavior Treescited by 0
- 2026COOL-MC: Verifying and Explaining RL Policies for Platelet Inventory Managementcited by 0
- 2026Aligning to Illusions: Choice Blindness in Human and AI Feedbackcited by 0
50 most cited of 55 All 55 (JSON)
- 2026The Rise of Verbal Reinforcement Learning1 Sep 2026
- 2026It's a matter of timescale: non-linear utility in successor features and multi-objective planning and learning26 Aug 2026
- 2026LEMUR: Learning to Align with Multi-Objective Reinforcement Learning from Preference Feedback31 Jul 2026
- 2026Objective-Behavior Alignment: Diagnostics for MORL Policy Selection19 Jun 2026
- 2026Learning Coordinated Preference for Multi-Objective Multi-Agent Reinforcement Learning12 Jun 2026
- 2026Aligning to Illusions: Choice Blindness in Human and AI Feedback9 Mar 2026
- 2026COOL-MC: Verifying and Explaining RL Policies for Platelet Inventory Management2 Mar 2026
- 2026Formally Verifying and Explaining Sepsis Treatment Policies with COOL-MC16 Feb 2026
- 2026Progress Constraints for Reinforcement Learning in Behavior Trees6 Feb 2026
- 2026Beyond Rewards in Reinforcement Learning for Cyber Defence4 Feb 2026
- 2025Formal Verification of Noisy Quantum Reinforcement Learning Policies1 Dec 2025
- 2025MOMA-AC: A preference-driven actor-critic framework for continuous multi-objective multi-agent reinforcement learning22 Nov 2025
38 more
- 2025Balancing Specialization and Centralization: A Multi-Agent Reinforcement Learning Benchmark for Sequential Industrial Control23 Oct 2025
- 2025BioBlue: Systematic runaway-optimiser-like LLM failure modes on biologically and economically aligned AI safety benchmarks for LLMs with simplified observation format2 Sep 2025
- 2025Aligning LLMs on a Budget: Inference-Time Alignment with Heuristic Reward Models7 Aug 2025
- 2025Increasing Interaction Fidelity: Training Routines for Biomechanical Models in HCI5 Aug 2025
- 2025Beyond Scalar Rewards: An Axiomatic Framework for Lexicographic MDPs17 May 2025
- 2025EMORL: Ensemble Multi-Objective Reinforcement Learning for Efficient and Flexible LLM Fine-Tuning5 May 2025
- 2025On Generalization Across Environments In Multi-Objective Reinforcement Learning2 Mar 2025
- 2025Evolution and The Knightian Blindspot of Machine Learning22 Jan 2025
- 2025Turn-based Multi-Agent Reinforcement Learning Model Checking6 Jan 2025
- 2025Co-Activation Graph Analysis of Safety-Verified and Explainable Deep Reinforcement Learning Policies6 Jan 2025
- 2024Multi-objective Deep Learning: Taxonomy and Survey of the State of the Art2 Dec 2024
- 2024Multi-objective Reinforcement Learning: A Tool for Pluralistic Alignment15 Oct 2024
- 2024Intuitions of Compromise: Utilitarianism vs. Contractualism7 Oct 2024
- 2024From homeostasis to resource sharing: Biologically and economically aligned multi-objective multi-agent gridworld-based AI safety benchmarks30 Sep 2024
- 2024Safety-Oriented Pruning and Interpretation of Reinforcement Learning Policies16 Sep 2024
- 2024Enhancing RL Safety with Counterfactual LLM Reasoning16 Sep 2024
- 2024Beyond Preferences in AI Alignment30 Aug 2024
- 2024Thresholded Lexicographic Ordered Multiobjective Reinforcement Learning24 Aug 2024
- 2024Towards Aligning Language Models with Textual Feedback24 Jul 2024
- 2024Comprehensive Overview of Reward Engineering and Shaping in Advancing Reinforcement Learning Applications22 Jul 2024
- 2024PUZZLES: A Benchmark for Neural Algorithmic Reasoning29 Jun 2024
- 2024LLMs can learn self-restraint through iterative self-reflection15 May 2024
- 2024Regularized Conditional Diffusion Model for Multi-Task Preference Alignment7 Apr 2024
- 2024Probabilistic Model Checking of Stochastic Reinforcement Learning Policies27 Mar 2024
- 2024Combinatorial Client-Master Multiagent Deep Reinforcement Learning for Task Offloading in Mobile Edge Computing18 Feb 2024
- 2024Utility-Based Reinforcement Learning: Unifying Single-objective and Multi-objective Reinforcement Learning5 Feb 2024
- 2024Context-Former: Stitching via Latent Conditioned Sequence Modeling29 Jan 2024
- 2024On the Limitations of Markovian Rewards to Express Multi-Objective, Risk-Sensitive, and Modal Tasks26 Jan 2024
- 2024An Empirical Investigation of Value-Based Multi-objective Reinforcement Learning for Stochastic Environments6 Jan 2024
- 2023Multi-Objective Reinforcement Learning Based on Decomposition: A Taxonomy and Framework21 Nov 2023
- 2023Prioritized Soft Q-Decomposition for Lexicographic Reinforcement Learning3 Oct 2023
- 2023Consistent Aggregation of Objectives with Diverse Time Preferences Requires Non-Markovian Rewards30 Sep 2023
- 2023Open Problems and Fundamental Limitations of Reinforcement Learning from Human Feedback27 Jul 2023
- 2023Intent-aligned AI systems deplete human agency: the need for agency foundations research in AI safety30 May 2023
- 2023Beyond Reward: Offline Preference-guided Policy Optimization25 May 2023
- 2023Learning Roles with Emergent Social Value Orientations31 Jan 2023
- 2022Targeted Adversarial Attacks on Deep Reinforcement Learning Policies via Model Checking10 Dec 2022
- 2022Monte Carlo Tree Search Algorithms for Risk-Aware and Multi-Objective Reinforcement Learning23 Nov 2022
50 newest of 55 All 55 (JSON)
- 2023Open Problems and Fundamental Limitations of Reinforcement Learning from Human Feedbackcited by 743
- 2024Beyond Preferences in AI Alignmentcited by 46
- 2023Beyond Reward: Offline Preference-guided Policy Optimizationcited by 35
- 2024Towards Aligning Language Models with Textual Feedbackcited by 5
- 2025Aligning LLMs on a Budget: Inference-Time Alignment with Heuristic Reward Modelscited by 0
- 2026Aligning to Illusions: Choice Blindness in Human and AI Feedbackcited by 0
- 2026LEMUR: Learning to Align with Multi-Objective Reinforcement Learning from Preference Feedbackcited by 0
- 2026LEMUR: Learning to Align with Multi-Objective Reinforcement Learning from Preference Feedback31 Jul 2026
- 2026Aligning to Illusions: Choice Blindness in Human and AI Feedback9 Mar 2026
- 2025Aligning LLMs on a Budget: Inference-Time Alignment with Heuristic Reward Models7 Aug 2025
- 2024Beyond Preferences in AI Alignment30 Aug 2024
- 2024Towards Aligning Language Models with Textual Feedback24 Jul 2024
- 2023Open Problems and Fundamental Limitations of Reinforcement Learning from Human Feedback27 Jul 2023
- 2023Beyond Reward: Offline Preference-guided Policy Optimization25 May 2023
- 2024Enhancing RL Safety with Counterfactual LLM Reasoningcited by 6
- 2024Enhancing RL Safety with Counterfactual LLM Reasoning16 Sep 2024
- 2024Comprehensive Overview of Reward Engineering and Shaping in Advancing Reinforcement Learning Applicationscited by 34
- 2023Multi-Objective Reinforcement Learning Based on Decomposition: A Taxonomy and Frameworkcited by 28
- 2022Optimistic Linear Support and Successor Features as a Basis for Optimal Policy Transfercited by 22
- 2022COOL-MC: A Comprehensive Tool for Reinforcement Learning and Model Checkingcited by 19
- 2022On the link between conscious function and general intelligence in humans and machinescited by 15
- 2024PUZZLES: A Benchmark for Neural Algorithmic Reasoningcited by 12
- 2022Safe Reinforcement Learning From Pixels Using a Stochastic Latent Representationcited by 11
- 2025Evolution and The Knightian Blindspot of Machine Learningcited by 11
- 2024On the Limitations of Markovian Rewards to Express Multi-Objective, Risk-Sensitive, and Modal Taskscited by 9
- 2024Safety-Oriented Pruning and Interpretation of Reinforcement Learning Policiescited by 9
- 2023Consistent Aggregation of Objectives with Diverse Time Preferences Requires Non-Markovian Rewardscited by 8
- 2025On Generalization Across Environments In Multi-Objective Reinforcement Learningcited by 8
12 most cited of 44 All 44 (JSON)
- 2026The Rise of Verbal Reinforcement Learning1 Sep 2026
- 2026It's a matter of timescale: non-linear utility in successor features and multi-objective planning and learning26 Aug 2026
- 2026Objective-Behavior Alignment: Diagnostics for MORL Policy Selection19 Jun 2026
- 2026Learning Coordinated Preference for Multi-Objective Multi-Agent Reinforcement Learning12 Jun 2026
- 2026COOL-MC: Verifying and Explaining RL Policies for Platelet Inventory Management2 Mar 2026
- 2026Formally Verifying and Explaining Sepsis Treatment Policies with COOL-MC16 Feb 2026
- 2026Progress Constraints for Reinforcement Learning in Behavior Trees6 Feb 2026
- 2026Beyond Rewards in Reinforcement Learning for Cyber Defence4 Feb 2026
- 2025Formal Verification of Noisy Quantum Reinforcement Learning Policies1 Dec 2025
- 2025MOMA-AC: A preference-driven actor-critic framework for continuous multi-objective multi-agent reinforcement learning22 Nov 2025
- 2025Balancing Specialization and Centralization: A Multi-Agent Reinforcement Learning Benchmark for Sequential Industrial Control23 Oct 2025
- 2025BioBlue: Systematic runaway-optimiser-like LLM failure modes on biologically and economically aligned AI safety benchmarks for LLMs with simplified observation format2 Sep 2025
12 newest of 44 All 44 (JSON)