Abstract
We explore situations in which a decision maker bears responsibility for somebody else’s outcomes as well as for her own. We study such choices for gains and losses, and for different gain probabilities. For 50–50 lotteries over gains we find that being responsible for somebody else’s payoffs increases risk aversion. In the loss domain, on the other hand, we find significantly different behavior relative to gains, with slightly more risk seeking under responsibility. In a second experiment, we replicate the finding of increased risk aversion for large probabilities of a gain, while for small probability gains we find increased risk seeking under conditions of responsibility relative to large probabilities. This discredits hypotheses of a ‘cautious shift’ under responsibility, and may indicate an accentuation of the fourfold pattern of risk attitudes usually found for individual choices.
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Notes
Pahlke, Strasser, and Vieider (2012) found that adding an accountability mechanism to responsibility significantly reduced loss aversion, while leaving other elements of risk attitude unaffected.
Additional prospects in the gain domain were not mirrored for ethical reasons—indeed, replicating all gain prospects for losses would have resulted in a high chance of overall losses during the experiment.
Two out of 144 participants ended up with an actual loss (€ -3.50 and € -2.00), both in the individual treatment. Three further subjects earned less than their show-up fee of €4.
P-values reported are two-sided and refer to binomial tests for intermediate stakes, with a safe amount of b = €6, unless specified otherwise. Using one specific stake level allows for cleaner statistical tests. Results are qualitatively similar for other stake levels.
Slovic et al. (2002) found a similar pattern for choices under risk with small negative and large positive outcomes, calling it the “contrast effect”.
The Spearman correlation coefficient between the stake size b and choice for the safe option in the individual treatment is indeed significantly positive for the base case (p < 0.001), but not different from zero for losses (p = 0.57).
Expected value is defined as the expected value of the safe prospect minus the expected value of the risky prospect. Standard deviation is defined as the standard deviation of the risky prospect minus the standard deviation of the safe prospect, which is thus always positive.
One may also want to take into account that there are actually fewer choices of the safe prospect for losses to start with, as shown above.
The average rating was 4.04, with a standard deviation of 1.06.
In the literature, self assessment on a risk attitude scale such as this have been found to be highly correlated with incentivized choices for 50–50 prospects in the gain domain (Dohmen et al. 2011). We thus also assume that such self-assessment should reflect choices for 50–50 choices in the gain domain. However, Vieider et al. (2014) found positive correlations in both the gain and the loss domain.
For instance, Lahno and Serra-Garcia (2015) found that the imitation of a peer is more likely in decisions under risk when said peer makes a risk averse choice. This suggests that risk aversion may have some appeal as a social norm.
We test this hypothesis for the gain domain only, since gains are easier to incentivize than losses.
Although the preceding experiment was unrelated, care was taken to distribute the treatments of this experiment orthogonally to the treatments in the other experiment.
Indeed, the dummy indicates the satisfaction levels for small probabilities with all interactions that include that dummy held constant at zero (Jaccard and Turrisi 2003). This in turn means that the safe-choice dummy must be zero, thus resulting in the interpretation that the effect indicates satisfaction with choices of the prospect; this satisfaction in turn is measured relative to the (much fewer) choices of the prospect for the large probability prospect.
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Pahlke, J., Strasser, S. & Vieider, F.M. Responsibility effects in decision making under risk. J Risk Uncertain 51, 125–146 (2015). https://doi.org/10.1007/s11166-015-9223-6
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DOI: https://doi.org/10.1007/s11166-015-9223-6