Visual extrapolation under risk: human observers estimate and compensate for exogenous uncertainty

Humans commonly face choices between multiple options with uncertain outcomes. Such situations occur in many contexts, from purely financial decisions (which shares should I buy?) to perceptuo-motor decisions between different actions (where should I aim my shot at goal?). Regardless of context, successful decision-making requires that the uncertainty at the heart of the decision-making problem is taken into account. Here, we ask whether humans can recover an estimate of exogenous uncertainty and then use it to make good decisions. Observers viewed a small dot that moved erratically until it disappeared behind an occluder. We varied the size of the occluder and the unpredictability of the dot's path. The observer attempted to capture the dot as it emerged from behind the occluded region by setting the location and extent of a ‘catcher’ along the edge of the occluder. The reward for successfully catching the dot was reduced as the size of the catcher increased. We compared human performance with that of an agent maximizing expected gain and found that observers consistently selected catcher size close to this theoretical solution. These results suggest that humans are finely tuned to exogenous uncertainty information and can exploit it to guide action.

[1]  M. Landy,et al.  The effect of viewpoint on perceived visual roughness. , 2007, Journal of vision.

[2]  Laurence T. Maloney,et al.  Sub-Optimal Allocation of Time in Sequential Movements , 2009, PloS one.

[3]  Wael El-Deredy,et al.  Tracking visible and occluded targets: Changes in event related potentials during motion extrapolation , 2009, Neuropsychologia.

[4]  L. Maloney,et al.  Decision-theoretic models of visual perception and action , 2010, Vision Research.

[5]  D. Weiss,et al.  Costs and Payoffs in Perceptual Research , 2008 .

[6]  Catherine Forbes,et al.  von Mises Distribution , 2010 .

[7]  L. Maloney,et al.  Economic decision-making compared with an equivalent motor task , 2009, Proceedings of the National Academy of Sciences.

[8]  N. Fisher,et al.  Statistical Analysis of Circular Data , 1993 .

[9]  L. Maloney,et al.  Planning multiple movements within a fixed time limit: the cost of constrained time allocation in a visuo-motor task. , 2010, Journal of vision.

[10]  M. Landy,et al.  Decision making, movement planning and statistical decision theory , 2008, Trends in Cognitive Sciences.

[11]  L. Maloney,et al.  Explicit estimation of visual uncertainty in human motion processing , 2005, Vision Research.

[12]  Jonathan D. Cohen,et al.  The physics of optimal decision making: a formal analysis of models of performance in two-alternative forced-choice tasks. , 2006, Psychological review.

[13]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[14]  Michael S. Landy,et al.  Optimal Compensation for Temporal Uncertainty in Movement Planning , 2008, PLoS Comput. Biol..

[15]  Scott N. J. Watamaniuk,et al.  Seeing motion behind occluders , 1995, Nature.

[16]  Eero P. Simoncelli,et al.  Inhibitory interactions in MT receptive fields , 2010 .

[17]  Peter W Battaglia,et al.  Humans Trade Off Viewing Time and Movement Duration to Improve Visuomotor Accuracy in a Fast Reaching Task , 2007, The Journal of Neuroscience.

[18]  Donald A. Redelmeier,et al.  On the Framing of Multiple Prospects , 1992 .

[19]  M. Landy,et al.  Statistical decision theory and trade-offs in the control of motor response. , 2003, Spatial vision.

[20]  G. Barnes,et al.  Human ocular pursuit during the transient disappearance of a visual target. , 2003, Journal of neurophysiology.

[21]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[22]  Nicholas I. Fisher,et al.  Statistical Analysis of Circular Data , 1993 .

[23]  H. J. Wyatt,et al.  Offset dynamics of human smooth pursuit eye movements: Effects of target presence and subject attention , 1997, Vision Research.

[24]  Richard L. Lewis,et al.  Rational adaptation under task and processing constraints: implications for testing theories of cognition and action. , 2009, Psychological review.

[25]  A. Fuchs,et al.  Prediction in the oculomotor system: smooth pursuit during transient disappearance of a visual target , 2004, Experimental Brain Research.

[26]  Z. Pylyshyn,et al.  Tracking Multiple Items Through Occlusion: Clues to Visual Objecthood , 1999, Cognitive Psychology.

[27]  S. McKee,et al.  Predicting future motion. , 2002, Journal of vision.

[28]  Michael S Landy,et al.  Statistical decision theory and the selection of rapid, goal-directed movements. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[29]  Mark Dean,et al.  Trading off speed and accuracy in rapid, goal-directed movements. , 2007, Journal of vision.

[30]  R. Hertwig,et al.  Decisions from Experience and the Effect of Rare Events in Risky Choice , 2004, Psychological science.