In recent years, a large body of research has focused on unveiling the fundamental physical processes that living systems utilize to perform functions, such as coordinated action and collective decision making. Here, we demonstrate that important features of collective decision making among higher organisms are captured effectively by a novel formulation of well-characterized physical spin systems, where the spin state is equivalent to two opposing preferences, and a bias in the preferred state represents the strength of individual opinions. We reveal that individuals (spins) without a preference (unbiased or uninformed) play a central role in collective decision making, both in maximizing the ability of the system to achieve consensus (via enhancement of the propagation of spin states) and in minimizing the time taken to do so (via a process reminiscent of stochastic resonance). Which state (option) is selected collectively, however, is shown to depend strongly on the nonlinearity of local interactions. Relatively linear social response results in unbiased individuals reinforcing the majority preference, even in the face of a strongly biased numerical minority (thus promoting democratic outcomes). If interactions are highly nonlinear, however, unbiased individuals exert the opposite influence, promoting a strongly biased minority and inhibiting majority preference. These results enhance our understanding of physical computation in biological collectives and suggest new avenues to explore in the collective dynamics of spin systems. DOI: 10.1103/PhysRevLett.116.038701 Collective decision making is ubiquitous across cellular [1,2], animal [3], human [4,5], and engineered systems [6]. Despite varying greatly in terms of the type and composition of components (agents), common dynamical features allow collectives to make rapid, accurate decisions even in complex environments or amidst conflicting needs [7]. The dynamics of populations of neurons, for example, have been precisely related to binary "spins" (spikes) communicating via pairwise interactions [8,9], a characteristic of models employed widely in statistical physics. Neural dynamics also exhibit striking parallels with collective decision making among organisms themselves, such as the process by which honeybee colonies decide among alternative nest sites [10,11]. Thus, by abstracting microscopic details and relating biological computation directly to that among physical particles, we can obtain considerable insight regarding collective behavior and possibly reveal novel aspects of physical systems.Here, we explore the dynamics of populations making collective decisions. Despite being inspired by recent experimental data from animal groups, we deliberately shift the focus from understanding collective decisions in a particular experimental context to a general understanding of the underlying dynamical interplay among population constitution, space, and the character of local interactions.In doing so we demonstrate that many of the complex, and possibly coun...