Smaller Switch Costs Research Articles

Graph schema and best graph type to compare discrete groups: Bar, line, and pie.

Different graph types may differ in their suitability to support group comparisons, due to the underlying graph schemas. This study examined whether graph schemas are based on perceptual features (i.e., each graph type, e.g., bar or line graph, has its own graph schema) or common invariant structures (i.e., graph types share common schemas). Furthermore, it was of interest which graph type (bar, line, or pie) is optimal for comparing discrete groups. A switching paradigm was used in three experiments. Two graph types were examined at a time (Experiment 1: bar vs. line, Experiment 2: bar vs. pie, Experiment 3: line vs. pie). On each trial, participants received a data graph presenting the data from three groups and were to determine the numerical difference of group A and group B displayed in the graph. We scrutinized whether switching the type of graph from one trial to the next prolonged RTs. The slowing of RTs in switch trials in comparison to trials with only one graph type can indicate to what extent the graph schemas differ. As switch costs were observed in all pairings of graph types, none of the different pairs of graph types tested seems to fully share a common schema. Interestingly, there was tentative evidence for differences in switch costs among different pairings of graph types. Smaller switch costs in Experiment 1 suggested that the graph schemas of bar and line graphs overlap more strongly than those of bar graphs and pie graphs or line graphs and pie graphs. This implies that results were not in line with completely distinct schemas for different graph types either. Taken together, the pattern of results is consistent with a hierarchical view according to which a graph schema consists of parts shared for different graphs and parts that are specific for each graph type. Apart from investigating graph schemas, the study provided evidence for performance differences among graph types. We found that bar graphs yielded the fastest group comparisons compared to line graphs and pie graphs, suggesting that they are the most suitable when used to compare discrete groups.

Language switching in different contexts and modalities: Response-stimulus interval influences cued-naming but not voluntary-naming or comprehension language-switching costs

AbstractLanguage switching is often associated with language competition and switching costs. However, the underlying mechanisms might differ depending on context (free versus cued naming) and modality (production or comprehension). In this study, we assessed how response-stimulus intervals (RSI) influence language-switching costs. Longer RSIs might provide more time for interference from the previous trial to decay and result in smaller switching costs. Mandarin–English bilinguals completed two dual-language production tasks (Experiment 1: cued and voluntary picture naming) and one comprehension task (Experiment 2: animacy judgement) with a short RSI and a long RSI condition. While switching costs were present in all tasks, they were only influenced by RSI length in the cued-production task, with smaller switching costs in the long RSI condition. In contrast, RSI did not influence voluntary-production or comprehension costs. This suggests that bilinguals might apply language control differently to switch languages depending on the type of switching and modality.

Predictions about the Cognitive Consequences of Language Switching on Executive Functioning Inspired by the Adaptive Control Hypothesis Fail More Often than Not.

The adaptive control hypothesis developed by Green and Abutalebi is the most influential theory of bilingual language control. The focus of this article is on the predictions that other researchers have derived based on the three different modes of interactional context described by the hypothesis. Foremost, that dual-language contexts should enhance domain-general executive functions more than single-language contexts. Several recent and ambitious behavioral tests of these predictions are reviewed. Although there was some evidence that dual-language contexts are associated with smaller switch costs, the evidence is inconsistent and there were no similar advantages for inhibitory control. The hypothesis also predicts neuroanatomical adaptations to the three types of interactional context. A careful evaluation of the relevant fMRI and ERP studies that take into account whether behavioral differences align with neuroscience differences and resolves valence ambiguities led to the conclusion that the neuroscience evidence for the hypothesis is, at best, inconsistent. The study also includes new analyses of two large-sample studies that enable the identification of relatively pure cases of single-language bilinguals, dual-language bilinguals, and dense-code switchers. Across nine different measures of executive functioning, the predicted advantage of the dual-language context never materialized. The hypotheses derived from the adaptive control hypothesis do not accurately predict behavioral performance on tests of executive functioning and do not advance our understanding as to what dimensions of bilingualism may lead to enhancements in specific components of executive functioning.

Unobserved Heterogeneity, State Dependence, and Health Plan Choices

We provide a new method to analyze discrete choice models with state dependence and individual-by-product fixed effects and use it to analyze consumer choices in a policy-relevant environment (a subsidized health insurance exchange). Moment inequalities are used to infer state dependence from consumers’ switching choices in response to changes in product attributes. We infer much smaller switching costs on the health insurance exchange than is inferred from standard logit and/or random effects methods. A counterfactual policy evaluation illustrates that the policy implications of this difference can be substantive.

More evidence that a switch is not (always) a switch: Binning bilinguals reveals dissociations between task and language switching.

The current study examined the cognitive mechanisms underlying task and language switching by comparing them with each other, and with flanker task performance, at multiple points of the response time distribution. Ninety-eight Spanish-English bilinguals completed cued language and color-shape switching tasks, and 2 versions of a nonlinguistic flanker task. Bilinguals responded more quickly and exhibited smaller mixing costs in the language task, but surprisingly exhibited larger switching costs than in the color-shape task. This language-task disadvantage was especially apparent in slower reaction times (RTs), because switching costs increased significantly through the slowest end of the RT distribution only in the language task (but not in the color-shape task). Although the flanker task resembled the language task to a greater extent than the color-shape task in some measures (e.g., flanker effects were largest in the slowest RT bins, like language switching costs), in other measures the 2 switching tasks resembled each other and the flanker task stood out as different (i.e., trial sequence effects and correlations between tasks in various cost measures). These results reveal that different measures of switching costs even in tasks with very similar designs, vary in the extent to which they measure switching ability, both between tasks, and even between different trials within the same task. Distributional analysis of RTs across tasks suggests that slow responses, particularly when switching between non-naturally competing responses, might not measure switching ability at all, and raises the possibility that smaller switching costs can even reflect reduced ability to juggle tasks in some cases. (PsycINFO Database Record (c) 2019 APA, all rights reserved).

Modality effects in language switching: Evidence for a bimodal advantage

In language switching, it is assumed that in order to produce a response in one language, the other language must be inhibited. In unimodal (spoken-spoken) language switching, the fact that the languages share the same primary output channel (the mouth) means that only one language can be produced at a time. In bimodal (spoken-signed) language switching, however, it is possible to produce both languages simultaneously. In our study, we examined modality effects in language switching using multilingual subjects (speaking German, English, and German Sign Language). Focusing on German vocal responses, since they are directly compatible across conditions, we found shorter reaction times, lower error rates, and smaller switch costs in bimodal vs. unimodal switching. This result suggests that there are different inhibitory mechanisms at work in unimodal and bimodal language switching. We propose that lexical inhibition is involved in unimodal switching, whereas output channel inhibition is involved in bimodal switching.

Who pays for switching costs?

Earlier work characterized pricing with switching costs as a dilemma between a short-term 'harvesting' incentive to increase prices versus a long-term 'investing' incentive to decrease prices. This paper shows that small switching costs may reduce firm profits and provide short-term incentives to lower rather than raise prices. We provide a simple expression which characterizes the impact of the introduction of switching costs on prices and profits for a general model. We then explore the impact of switching costs in a variety of specific examples which are special cases of our model. We emphasize the importance of a short term 'compensating' effect on switching costs.When consumers switch in equilibrium, firms offset the costs of consumers that are switching into the firm. If switching costs are low, this compensating effect of switching costs causes even myopic firms to decrease prices. The incentive to decrease prices is even stronger for forward looking firms.

Digits vs. pictures: The influence of stimulus type on language switching

Stimuli used in cued language switching studies typically consist of digits or pictures. However, the comparability between both stimulus types remains unclear. In the present study, we directly compared digit and picture naming in a German–English language switching experiment. Because digits represent a semantic group and contain many cognates, the experiment consisted of four conditions with different stimulus sets in each condition: digits, standard language switching pictures, pictures depicting cognates, and semantically-related pictures. Digit naming caused smaller switch costs than picture naming. The data suggest that this difference can be attributed to phonology. Both methodological and theoretical implications are discussed.

Do Firms Compensate Switching Consumers?

Earlier work characterized pricing with switching costs as a dilemma between a short-term 'harvesting' incentive to increase prices versus a long-term 'investing' incentive to decrease prices. This paper shows that small switching costs may reduce firm profits and provide short-term incentives to lower rather than raise prices. We provide a simple expression which characterizes the impact of the introduction of switching costs on prices and profits for a general model. We then explore the impact of switching costs in a variety of specific examples which are special cases of our model. We emphasize the importance of a short term 'compensating' effect on switching costs.When consumers switch in equilibrium, firms offset the costs of consumers that are switching into the firm. If switching costs are low, this compensating effect of switching costs causes even myopic firms to decrease prices. The incentive to decrease prices is even stronger for forward looking firms.

Anarchy, stability, and utopia: creating better matchings

Historically, the analysis of matching has centered on designing algorithms to produce stable matchings as well as on analyzing the incentive compatibility of matching mechanisms. Less attention has been paid to questions related to the social welfare of stable matchings in cardinal utility models. We examine the loss in social welfare that arises from requiring matchings to be stable, the natural equilibrium concept under individual rationality. While this loss can be arbitrarily bad under general preferences, when there is some structure to the underlying graph corresponding to natural conditions on preferences, we prove worst case bounds on the price of anarchy. Surprisingly, under simple distributions of utilities, the average case loss turns out to be significantly smaller than the worst-case analysis would suggest. Furthermore, we derive conditions for the existence of approximately stable matchings that are also close to socially optimal, demonstrating that adding small switching costs can make socially (near-)optimal matchings stable. Our analysis leads to several concomitant results of interest on the convergence of decentralized partner-switching algorithms, and on the impact of heterogeneity of tastes on social welfare.

Does Acute Exercise Switch Off Switch Costs? A Study With Younger and Older Athletes

This study investigated the effects of acute exercise on 53 young (16-24 years) and 47 older (65-74 years) adults' switch-task performance. Participants practiced sports requiring either low or high cognitive demands. Both at rest and during aerobic exercise, the participants performed two reaction time tasks that differed in the amount of executive control involved in switching between global and local target features of visual compound stimuli. Switch costs were computed as reaction time differences between switch and nonswitch trials. In the low demanding task, switch costs were sensitive only to age, whereas in the high demanding task, they were sensitive to acute exercise, age, and sport-related cognitive expertise. The results suggest that acute exercise enhances cognitive flexibility and facilitates complex switch-task performance. Both young age and habitual practice of cognitively challenging sports are associated with smaller switch costs, but neither age nor cognitive expertise seem to moderate the relationship between acute exercise and switch-task performance.

Regular physical activity improves executive function during task switching in young adults

The relationship between physical activity levels and executive control functioning was examined in 40 young adults (mean age=21.4yrs; 19 females) who were grouped on the basis of their regular physical activity level. Participants performed a task switching paradigm with two conditions. The pure task condition required repeated performance on a single task (e.g., AAAAAA…); the mixed-task condition required participants to change rapidly between different tasks (e.g., AABBAA…). The mixed-task condition created greater executive control requirements due to working memory demands for the maintenance of multiple task sets in memory (compared to the pure task; i.e., mixing cost) and due to requisite inhibition of a task set on switch trials (versus non-switch trials; i.e., switch costs). Task performance measures of reaction times (RTs) and the P3 component of an event-related brain potential were collected. Results show a smaller mixing cost on RTs and P3 amplitudes and a smaller switch cost on RTs for the active group relative to the sedentary group. These data suggest that when the task requires greater amounts of executive control, the physically active group demonstrates a more efficient executive functioning than the sedentary group. Thus, this research presents evidence that regular physical activity selectively improves executive function, as represented by the task switching paradigm, even during young adulthood.

Bertrand Competition in Markets with Network Effects and Switching Costs

We analyze market dynamics under Bertrand duopoly competition in industries with network effects and consumer switching costs. Consumers form installed bases, repeatedly buy the products, and differ with respect to their switching costs. Depending on the ratio of switching costs to network effects, our model generates convergence to monopoly as well as market sharing as equilibrium outcomes. Convergence can be monotone or alternating in both scenarios. A critical mass effect, where consumers are trapped into one technology for sure only occurs for intermediate values of switching costs, whereas for large switching costs market sharing is the unique equilibrium and for small switching costs both monopoly and market sharing equilibria emerge. We also analyze stationary and stable equilibria, where we show that a monopoly outcome is almost inevitable, if switching costs or network effects increase over time. Finally, we examine firms' incentives to make their products compatible and to create additional switching costs.

Switching costs in infinitely repeated games

We show that small switching costs can have surprisingly dramatic effects in infinitely repeated games if these costs are large relative to payoffs in a single period. This shows that the results in Lipman and Wang do have analogs in the case of infinitely repeated games [Lipman, B., Wang, R., 2000. Switching costs in frequently repeated games. J. Econ. Theory 93, August 2000, 149–190]. We also discuss whether the results here or those in Lipman–Wang imply a discontinuity in the equilibrium outcome correspondence with respect to small switching costs. We conclude that there is not a discontinuity with respect to switching costs but that the switching costs do create a discontinuity with respect to the length of a period.

Switching Costs in Frequently Repeated Games

We add small costs of changing actions and frequent repetition to finitely repeated games, making some surprising commitments credible. Naturally, switching costs make it credible not to change action. However, this can occur for small switching costs and gives a unique subgame perfect equilibrium in coordination games when Pareto dominance and risk dominance coincide. In the Prisoners' Dilemma, switching costs reduce the incentive to deviate from mutual cooperation, but reduce the incentive to switch from cooperation to punish defection. Hence whether switching costs enable cooperation depends on which effect dominates. Switching costs can make complex threats credible enabling a player to earn more than his Stackelberg payoff. Journal of Economic Literature Classification Numbers: C7, C73.