Dominik Lenda’s research while affiliated with SWPS University and other places

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Publications (18)


Recurring Suboptimal Choices Result in Superior Decision Making
  • Article
  • Full-text available

July 2024

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148 Reads

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2 Citations

Decision

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Dominik Lenda

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A vast body of research has indicated that intensified deliberation on choice problems often improves decision accuracy, as evidenced by choices that maximize expected value (EV). However, such extensive deliberation is not always feasible due to cognitive and environmental constraints. In one simulation study and three well-powered fully incentivized empirical studies, using the decision-from-experience task, we found that individuals who maximized EV without time constraints accumulated higher total gain. The trend reversed in the following two studies. Under time constraints, participants who made more suboptimal (or random in terms of EV maximization) decisions earned more money than those who spent more time maximizing EV. By comparing sampling and decision strategies among people with higher and lower statistical numeracy, we found that more numerate individuals made quicker suboptimal choices, resulting in better overall earnings than less numerate individuals. Detailed analysis indicated that skilled decision makers sampled information more rapidly and dynamically. They adaptively relied on varying search strategies, initially focusing on reducing uncertainty and later discovering unobserved outcomes. Finally, adaptive exploration was accompanied by the development of a metacognitive understanding of the task structure and choice environment. Participants who recognized the effectiveness of the random selection strategy earned more rewards. Taken together, these findings suggest that people (especially those with higher numeracy) in time-constrained environment adaptively changed their decision-making strategies and developed a metacognitive understanding of the task structure and decision environment. This resulted in making recurring suboptimal choices that led to superior long-term performance in the decision task.

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Recurring Suboptimal Choices Result in Superior Decision Making

April 2024

·

184 Reads

A vast body of research has indicated that intensified deliberation on choice problems often improves decision accuracy, as evidenced by choices that maximize expected value (EV). However, such extensive deliberation is not always feasible due to cognitive and environmental constraints. In one simulation study and three well-powered fully-incentivized empirical studies, using the decision-from-experience task, we found that individuals who maximized EV without time constraints accumulated higher total gain. The trend reversed in the following two studies. Under time constraints, participants who made more suboptimal (or random in terms of EV maximization) decisions earned more money than those who spent more time maximizing EV. By comparing sampling and decision strategies among people with higher and lower statistical numeracy, we found that more numerate individuals made quicker suboptimal choices, resulting in better overall earnings than less numerate individuals. Detailed analysis indicated that skilled decision makers sampled information more rapidly and dynamically. They adaptively relied on varying search strategies, initially focusing on reducing uncertainty and later discovering unobserved outcomes. Finally, adaptive exploration was accompanied by the development of a metacognitive understanding of the task structure and choice environment. Participants who recognized the effectiveness of the random selection strategy earned more rewards. Taken together, these findings suggest that people (especially those with higher numeracy) in time-constrained environment adaptively changed their decision-making strategies and developed a metacognitive understanding of the task structure and decision environment. This resulted in making recurring suboptimal choices that led to superior long-term performance in the decision task.



Recurring Suboptimal Choices Result in Superior Decision Making

June 2022

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15 Reads

A vast body of research has indicated that individuals with higher statistical numeracy, in comparison to individuals with lower statistical numeracy, make superior decisions by employing more deliberative processes leading to selecting options with the highest expected value (EV). However, it is not feasible to deliberate every time we make a choice due to cognitive and environmental constraints. In one simulation study and three well-powered, fully-incentivized empirical studies using the decision-from-experience task, we identified conditions where recurring suboptimal choices were more rewarding than a normatively superior strategy. That is, even if individual choices in isolation are considered suboptimal in light of the EV maximization principle, individuals with higher numeracy can adapt their decision strategy in accordance with changes in the task structure, and make faster suboptimal (or random in terms of EV maximization) decisions that result in overall superior performance (e.g., earning more money). We found that individuals who maximized EV without time constraints accumulated higher total gain. However, the trend reversed in the following two studies. Participants who made more suboptimal choices, under time constraints, earned more money than those who spent more time maximizing EV. Importantly, we found that more numerate individuals made significant adjustments to their meta-cognitive decision processes and made more quick suboptimal choices resulting in better overall earnings than less numerate individuals. Finally, our results also indicate that more numerate individuals are better at identifying the changes in the task structure and are more rational in their use of cognitive and environmental resources.


Recurring Suboptimal Choices Result in Superior Decision Making

June 2022

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11 Reads

A vast body of research has indicated that individuals with higher statistical numeracy, in comparison to individuals with lower statistical numeracy, make superior decisions by employing more deliberative processes leading to selecting options with the highest expected value (EV). However, it is not feasible to deliberate every time we make a choice due to cognitive and environmental constraints. In one simulation study and three well-powered, fully-incentivized empirical studies using the decision-from-experience task, we identified conditions where recurring suboptimal choices were more rewarding than a normatively superior strategy. That is, even if individual choices in isolation are considered suboptimal in light of the EV maximization principle, individuals with higher numeracy can adapt their decision strategy in accordance with changes in the task structure, and make faster suboptimal (or random in terms of EV maximization) decisions that result in overall superior performance (e.g., earning more money). We found that individuals who maximized EV without time constraints accumulated higher total gain. However, the trend reversed in the following two studies. Participants who made more suboptimal choices, under time constraints, earned more money than those who spent more time maximizing EV. Importantly, we found that more numerate individuals made significant adjustments to their meta-cognitive decision processes and made more quick suboptimal choices resulting in better overall earnings than less numerate individuals. Finally, our results also indicate that more numerate individuals are better at identifying the changes in the task structure and are more rational in their use of cognitive and environmental resources.


Figure 2. The illustration of the betting task and experimental manipulations. In a single trial, participants were presented with the probability of a gain (gain frame; panels a and b) or with the probability of a loss (loss frame; panels c and d), and participants could place a bet of up to 500 points. The bet was always played out by the computer program, and the bet value was added to or subtracted from the total score depending on the outcome of the bet. Importantly, in the feedback condition (panels a and c), the bet value was displayed in green font in the case of a win or in red font in the case of a loss. In the no-feedback condition (panels b and d), participants received only confirmation of the bet value displayed in blue font, which means they did not know whether they had won or lost the bet.
Figure 3. Population-level parameter estimates in all three studies. Points are means of posterior distributions; vertical lines are 95% HDIs. Parameters:   – proximity to optimal
Figure 4. Population-level (bold) and individual-level (thin) average betting strategies presented separately for each experimental condition and each study (Study 1 – orange, Study 2 – grey, Study 3 – blue). Individual-level (thin) average betting strategies were plotted to demonstrate the variability of betting strategies across the conditions and studies.
Figure 5. Population-level average betting strategies (curves) and simulated raw betting strategies (points) obtained using population-level estimates of consistencies. On average, consistency was highest in the gain frame without feedback and lowest in the loss frame with feedback, as indicated by the amount of dispersion of points around the curves (Study 1: orange, Study 2: grey, Study 3: blue).
Figure 6. Main results of multivariate multilevel generalized regression with varying intercepts across participants. Densities are posterior distributions of regression weight estimates on the log scale. Vertical lines are means, and shaded areas show 95% HDIs. All variables were coded with orthogonal sum to zero contrasts (see the main text for directions of credible differences). Parameters  ,   and   reflect consistency, proximity to the optimal

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Consistency in Probability Processing as a Function of Affective Context and Numeracy

July 2020

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178 Reads

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7 Citations

Journal of Behavioral Decision Making

Processing information about probabilities is an integral part of decision making under risk. Even when objective probabilities are explicitly provided, people tend to distort them, which is reflected by an inverted S-shaped probability weighting function. Such distortions depend on different factors such as numeracy and affect. The present study contributes to the understanding of how people use probabilities in risky decision making by introducing the concept of consistency in probability processing―a measure of how coherent people are in using objective probabilities. We hypothesized that consistency would depend on factors similar to those that influence the shape of the probability weighting function. Moreover, we predicted that probability processing consistency would be related to better decision outcomes in an experimental betting task. In three experiments, participants were presented with the probability of a potential gain/loss and had to place a bet on a given chance to maximize their total earnings. We defined probability processing consistency as the variance of bets placed on the same probability value, with higher variance indicating lower consistency. We found that consistency in probability processing was lower in relatively affect-rich conditions and greater for people with higher numeracy. Additionally, people who exhibited more consistent processing of probabilities gained higher earnings from the experimental task irrespective of whether their betting strategy was optimal and of their risk preference. Our findings imply that consistency in processing probabilities may be an important factor in understanding betting strategies and the quality of decisions.


Figure 1 A schematic illustration of the experimental task.
Figure 2 Results of Bayesian multilevel linear modeling fitted using Eq. (2), with fear as the dependent variable. Upper left: Unit-level and disease-level regression coefficients. Upper right: Variability of participant-level slopes for unit-level predictors up to person (the last of the participant-level effects), which represents the standard deviation of mean fear ratings across participants. Disease is the variability of mean fear ratings across diseases, s a is an estimate of the residual standard deviation for disease-level regression, and s y is an estimate of the unit-level residual standard deviation. Horizontal lines are 95% highest density intervals (HDIs). Lower left: A graphical presentation of the disease-level regression. Lines are based on a combination of case fatality rate (CFR) and category coefficients. Gray represents neoplasms (C); black represents circulatory diseases (I). All point estimates are modes of posterior distributions with respective 95% HDIs. Lower right: Densities of posterior distributions of disease-level coefficients for CFR, morbidity rate, and category. Shaded areas are 95% HDIs.
Results of Correlation Analysis Using Aggregated Data
Associations between Case Fatality Rates and Self-Reported Fear of Neoplasms and Circulatory Diseases

May 2019

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65 Reads

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2 Citations

Medical Decision Making

Background: According to decision by sampling theory, people store relative frequencies of events in memory, and these values constitute subjective representations of events. Because fear is a natural response to the threat of death, we hypothesized that case fatality rate (CFR) statistics, which represent how deadly a disease is, would be positively correlated with self-reported fear ratings of neoplasms and circulatory diseases. Methods: Participants ( N = 239) were asked to rate various neoplasms and circulatory diseases (110 diseases in total) on fear, typicality, and disgust scales (e.g., 1 = no fear, 10 = intense fear). They also estimated mortality and morbidity rates for the same set of diseases. Finally, they completed the Berlin Numeracy Test. CFRs were obtained from the World Health Organization (WHO) database. The association between relative CFR and fear ratings was tested using correlation analyses and a multilevel linear model with Bayesian inference techniques. Results: We found that fear ratings were related to relative CFRs ( r = 0.42, [0.25, 0.56], BF = 3511). This effect was present on aggregate and, to some extent, on individual levels, even after controlling for other ratings, morbidity rate, participants' estimates of mortality and morbidity statistics, numeracy, sex, age, and knowledge of WHO statistics. Also, women rated neoplasms as more frightening than circulatory diseases, and typicality ratings were related to morbidity rates. Limitations: Limited number of diagnostic entities and categories, lack of control over the technicality of disease names and participants' experience of diseases, and study sample (83% young women). Conclusions: We present initial evidence that implicit acquisition of CFRs of diseases through everyday experience may be related to the intensity of fear reactions to them.




Citations (4)


... adherence to treatment regimens (Estrada et al., 2004;Waldrop-Valverde et al., 2010). Additionally, high numeracy is associated with superior financial decision making in paradigmatic risk tasks such as making choices in monetary lotteries resulting in higher financial gains and/or lower losses (Ghazal et al., 2014;Mondal et al., 2024;Mondal & Traczyk, 2023) and real-life situations, which translates into concrete financial outcomes such as personal wealth (Estrada-Mejia et al., 2016) or subjective financial well-being (for a review, see Garcia-Retamero et al., 2019;Peters, 2020;Sobkow, Garrido, et al., 2020). ...

Reference:

The Role of Numeracy in Judgment and Decision Making: The Replication of Eleven Effects Across Various Numeracy Scales
Recurring Suboptimal Choices Result in Superior Decision Making

Decision

... Some scholars have argued that numeracy also brings advantages in cognitive reflection (see below) and other cognitive/metacognitive skills (Sobkow et al., 2020). As examples, numerate individuals use elaborative heuristics (Cokely & Kelley, 2009), deliberate more on decision problems (Ghazal et al., 2014), are more consistent in processing probabilities (Traczyk et al., 2021), more accurately assess their judgments (Ghazal et al., 2014), search for more information (Ashby, 2017;Traczyk, Lenda, et al., 2018), and adaptively change strategies according to the structure of the decision problem . Thus, the straightforward predictions based on dual-process approaches would be that accountants would be unlikely to show framing biases and would be especially unlikely to exhibit the Allais paradox given differences in expected value between options. ...

Consistency in Probability Processing as a Function of Affective Context and Numeracy
  • Citing Article
  • July 2020

Journal of Behavioral Decision Making

... 3 Case fatality rates could be shown to positively correlate with fear of the disease. 4 Besides fear of death, severe lifestyle transformations, including decreased social contacts and upended daily structures, were associated with higher depression and anxiety rates in adolescents. 5 This is supported by studies from previous virus outbreaks that indicate containment measures, such as quarantine, isolation and social distancing, can have extensive negative consequences for mental health. ...

Associations between Case Fatality Rates and Self-Reported Fear of Neoplasms and Circulatory Diseases

Medical Decision Making

... Some scholars have argued that numeracy also brings advantages in cognitive reflection (see below) and other cognitive/metacognitive skills (Sobkow et al., 2020). As examples, numerate individuals use elaborative heuristics (Cokely & Kelley, 2009), deliberate more on decision problems (Ghazal et al., 2014), are more consistent in processing probabilities (Traczyk et al., 2021), more accurately assess their judgments (Ghazal et al., 2014), search for more information (Ashby, 2017;Traczyk, Lenda, et al., 2018), and adaptively change strategies according to the structure of the decision problem . Thus, the straightforward predictions based on dual-process approaches would be that accountants would be unlikely to show framing biases and would be especially unlikely to exhibit the Allais paradox given differences in expected value between options. ...

Does Fear Increase Search Effort in More Numerate People? An Experimental Study Investigating Information Acquisition in a Decision From Experience Task