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A Bayesian Theory of Conformity in Collective Decision Making

Neural Information Processing Systems

In collective decision making, members of a group need to coordinate their actions in order to achieve a desirable outcome. When there is no direct communication between group members, one should decide based on inferring others' intentions from their actions. The inference of others' intentions is called theory of mind and can involve different levels of reasoning, from a single inference on a hidden variable to considering others partially or fully optimal and reasoning about their actions conditioned on one's own actions (levels of "theory of mind"). In this paper, we present a new Bayesian theory of collective decision making based on a simple yet most commonly observed behavior: conformity. We show that such a Bayesian framework allows one to achieve any level of theory of mind in collective decision making. The viability of our framework is demonstrated on two different experiments, a consensus task with 120 subjects and a volunteer's dilemma task with 29 subjects, each with multiple conditions.



Census-Based Population Autonomy For Distributed Robotic Teaming

Paine, Tyler M., Bizyaeva, Anastasia, Benjamin, Michael R.

arXiv.org Artificial Intelligence

Collaborating teams of robots show promise due in their ability to complete missions more efficiently and with improved robustness, attributes that are particularly useful for systems operating in marine environments. A key issue is how to model, analyze, and design these multi-robot systems to realize the full benefits of collaboration, a challenging task since the domain of multi-robot autonomy encompasses both collective and individual behaviors. This paper introduces a layered model of multi-robot autonomy that uses the principle of census, or a weighted count of the inputs from neighbors, for collective decision-making about teaming, coupled with multi-objective behavior optimization for individual decision-making about actions. The census component is expressed as a nonlinear opinion dynamics model and the multi-objective behavior optimization is accomplished using interval programming. This model can be reduced to recover foundational algorithms in distributed optimization and control, while the full model enables new types of collective behaviors that are useful in real-world scenarios. To illustrate these points, a new method for distributed optimization of subgroup allocation is introduced where robots use a gradient descent algorithm to minimize portions of the cost functions that are locally known, while being influenced by the opinion states from neighbors to account for the unobserved costs. With this method the group can collectively use the information contained in the Hessian matrix of the total global cost. The utility of this model is experimentally validated in three categorically different experiments with fleets of autonomous surface vehicles: an adaptive sampling scenario, a high value unit protection scenario, and a competitive game of capture the flag.



A Bayesian Theory of Conformity in Collective Decision Making

Neural Information Processing Systems

In collective decision making, members of a group need to coordinate their actions in order to achieve a desirable outcome. When there is no direct communication between group members, one should decide based on inferring others' intentions from their actions. The inference of others' intentions is called "theory of mind" and can involve different levels of reasoning, from a single inference on a hidden variable to considering others partially or fully optimal and reasoning about their actions conditioned on one's own actions (levels of "theory of mind"). In this paper, we present a new Bayesian theory of collective decision making based on a simple yet most commonly observed behavior: conformity. We show that such a Bayesian framework allows one to achieve any level of theory of mind in collective decision making.


Reviews: A Bayesian Theory of Conformity in Collective Decision Making

Neural Information Processing Systems

This paper introduces a Bayesian formulation of Theory of Mind with a focus on conformity. The model is able to represent multi-level reasoning processes in multi round games. The experimental results confirmed that the model provides a better fit to data compared to previous works. The manuscript is very well written and it was a pleasure read. The ideas are well described and motivated (except one section which is mentioned below) and the experiments are well conducted.


Collective decision making by embodied neural agents

Coucke, Nicolas, Heinrich, Mary Katherine, Cleeremans, Axel, Dorigo, Marco, Dumas, Guillaume

arXiv.org Artificial Intelligence

Collective decision making using simple social interactions has been studied in many types of multi-agent systems, including robot swarms and human social networks. However, existing multi-agent studies have rarely modeled the neural dynamics that underlie sensorimotor coordination in embodied biological agents. In this study, we investigated collective decisions that resulted from sensorimotor coordination among agents with simple neural dynamics. We equipped our agents with a model of minimal neural dynamics based on the coordination dynamics framework, and embedded them in an environment with a stimulus gradient. In our single-agent setup, the decision between two stimulus sources depends solely on the coordination of the agent's neural dynamics with its environment. In our multi-agent setup, that same decision also depends on the sensorimotor coordination between agents, via their simple social interactions. Our results show that the success of collective decisions depended on a balance of intra-agent, inter-agent, and agent-environment coupling, and we use these results to identify the influences of environmental factors on decision difficulty. More generally, our results demonstrate the impact of intra- and inter-brain coordination dynamics on collective behavior, can contribute to existing knowledge on the functional role of inter-agent synchrony, and are relevant to ongoing developments in neuro-AI and self-organized multi-agent systems.


LARS: Light Augmented Reality System for Swarm

Raoufi, Mohsen, Romanczuk, Pawel, Hamann, Heiko

arXiv.org Artificial Intelligence

Extended reality (XR) technology has found its applications in various systems, including multi-robot systems [1]. Augmented Reality and Mixed Reality tools are becoming increasingly influential in educational technology and robotics. They enrich learning experiences and expand research methodology. Multi-robot systems, as a complex collective system, have great potential for educational purposes, showcasing collective behaviors. In such systems, XR tools set up a dynamic virtual environment observable by humans as well as a medium to interact with multi-robot systems.


A Bayesian Theory of Conformity in Collective Decision Making

Neural Information Processing Systems

In collective decision making, members of a group need to coordinate their actions in order to achieve a desirable outcome. When there is no direct communication between group members, one should decide based on inferring others' intentions from their actions. The inference of others' intentions is called "theory of mind" and can involve different levels of reasoning, from a single inference on a hidden variable to considering others partially or fully optimal and reasoning about their actions conditioned on one's own actions (levels of "theory of mind"). In this paper, we present a new Bayesian theory of collective decision making based on a simple yet most commonly observed behavior: conformity. We show that such a Bayesian framework allows one to achieve any level of theory of mind in collective decision making.