Generalized Axiom Of Revealed Preference Research Articles

Revealed preference and revealed preference cycles: A survey

Afriat’s Theorem (1967) states that a dataset can be thought of as being generated by a consumer maximizing a continuous and increasing utility function if and only if it is free of revealed preference cycles containing a strict relation. The latter property is often known by its acronym, GARP (for generalized axiom of revealed preference). This paper surveys extensions and applications of Afriat’s seminal result. We focus on those results where the consistency of a dataset with the maximization of a utility function satisfying some property can be characterized by a suitably modified version of GARP.

Cardinal revealed preference: Disentangling transitivity and consistent binary choice

We present a new notion of cardinal revealed preference that exploits the expenditure information in classical consumer theory environments with finite data. We propose a new behavioral axiom, Acyclic Enticement (AE), that requires the acyclicity of the cardinal revealed-preference relation. AE is logically independent from the Weak Axiom of Revealed Preference (WARP). We show that the Generalized Axiom of Revealed Preference (GARP), which characterizes the standard rational consumer, is logically equivalent to AE and WARP. We use our axiomatic decomposition to show, in experimental and scanner consumer-panel data sets, that AE explains the majority of the predictive success of GARP. Moreover, AE taken alone is superior in predictive success to both WARP and GARP.

Economic Rationality under Cognitive Load

Abstract Economic analysis assumes that consumer behaviour can be rationalised by a utility function. Previous research has shown that some consistency of choices with economic rationality can be captured by permanent cognitive ability. No other known study however has examined how a temporary load in subjects’ working memory can affect economic rationality. Using two controlled laboratory experiments, we exogenously vary cognitive load by asking subjects to memorise a number while they undertake an induced budget allocation task (Choi et al., 2007a, b). Using a number of manipulation checks, we verify that cognitive load has adverse effects on subjects’ performance in reasoning tasks. However, we find no effect in any of the goodness-of-fit measures that measure consistency of subjects’ choices with the Generalized Axiom of Revealed Preference (GARP), despite having a sample size large enough to detect even small differences between treatments with 80% power. We also find no effect on first-order stochastic dominance and risk preferences. Our finding suggests that economic rationality can be attained even when subjects are placed under temporary working memory load, despite the fact that the load has adverse effects in reasoning tasks.

The uncertainty triangle – Uncovering heterogeneity in attitudes towards uncertainty

This paper develops a graphical tool – the uncertainty triangle – that allows for testing whether choices under uncertainty obey the generalized axiom of revealed preference (GARP). We find that more than 95% of subjects made choices that can be rationalized by the maximization of a well-behaved utility function. The uncertainty triangle also makes it straightforward to characterize heterogeneity in attitudes towards uncertainty. To accomplish this we propose a one-parameter extension of Expected Utility in which uncertainty attitude is everywhere constant in the triangle. Experimental data indicate that about 60% of participants made choices consistent with the model and, within this group, 48% were uncertainty averse, 22% uncertainty seeking, and 30% uncertainty neutral. The remaining 40% of participants appear to hold variable uncertainty attitudes. A model that can accommodate this variability is proposed and calibrated.

REVEALED PREFERENCE AND ACTIVITY RULES IN DYNAMIC AUCTIONS

AbstractActivity rules—constraints that limit bidding in future rounds based on past bids—are intended to limit strategic bidding delays in high‐stakes auctions. This article provides a general treatment of activity rules. Traditional point‐based rules are effective for homogeneous goods and reasonably suited for substitute goods. However, they are simultaneously too strong and too weak for general environments; they allow parking, while sometimes preventing straightforward bidding. We prove that the activity rule operationalizing the generalized axiom of revealed preference (GARP) is essentially the unique rule that enforces the Law of Demand while enabling straightforward bidding and never producing “dead ends.”

Altruistic Preferences in the Dictator Game: Replication of Andreoni and Miller (2002) in Japan

We conducted two replication studies of Andreoni and Miller’s (2002) modified dictator game study, which revealed that participants’ altruistic decisions were consistent with the notion of utility maximization. The two studies (Study 1 with small stake sizes and Study 2 with large stake sizes) included 11 modified dictator games, in which participants allocated a fixed number of tokens between themselves and their recipient. In eight of the 11 games, each token’s value was different for each player. In Study 1 (N = 78), 85% of participants did not violate the generalized axiom of revealed preference (GARP) throughout the 11 games. In Study 2 (N = 58), 81% of participants did not violate GARP. These results suggest that participants’ decisions were largely consistent with utility maximization. Following Andreoni and Miller’s analysis, we classified all participants (except one anomalous case) into the Selfish, Leontief (egalitarian), and Perfect Substitutes (utilitarian) groups. The majority of participants were classified into either the Leontief or Prefect Substitutes groups (i.e., non-selfish groups).

Cortisol meets GARP: the effect of stress on economic rationality

Rationality is a fundamental pillar of Economics. It is however unclear if this assumption holds when decisions are made under stress. To answer this question, we design two laboratory experiments where we exogenously induce physiological stress in participants and test the consistency of their choices with economic rationality. In both experiments we induce stress with the Cold Pressor test and measure economic rationality by the consistency of participants’ choices with the Generalized Axiom of Revealed Preference (GARP). In the first experiment, participants delay the decision-making task for 20 min until the cortisol level peaks. We find significant differences in cortisol levels between the stressed group and the placebo group which, however, do not affect the consistency of choices with GARP. In a second experiment, we study the immediate effect of the stressor on rationality. Overall, results from the second experiment confirm that rationality is not impaired by the stressor. If anything, we observe that compared to the placebo group, participants are more consistent with rationality immediately after the stressor. Our findings provide strong empirical support for the robustness of the economic rationality assumption under physiological stress.

Is utility maximization compromised by acute intoxication with THC or MDMA?

This report presents results from a within-subject, randomized, placebo-controlled experiment in which healthy participants were orally administered delta-9-tetrahydrocannabinol (THC; 10mg/70kg), the main psychoactive component of cannabis, 3,4-methylenedioxymethamphetamine (MDMA; 1.5mg/70kg), the main psychoactive component of ‘ecstasy’ and ‘molly’, and placebo across three sessions. While intoxicated, participants chose between monetary payment and social time, defined as access to their phone and pre-specified social internet sites like Facebook. The design of the experiment made possible an assessment of the acute effects of THC and MDMA on adherence to the generalized axiom of revealed preference (GARP), a necessary and sufficient condition for maximization of a well-behaved utility function. Choices made under the influence of THC, MDMA, and placebo were all GARP compliant. Thus, even when participants were acutely intoxicated with THC or MDMA, their choices remained consistent with the tenets of neoclassical choice theory.

Cardinal Revealed Preference, Price-Dependent Utility, and Consistent Binary Choice

We present a new notion of cardinal revealed preference that exploits the expenditure information in classical consumer theory environments with finite data. We propose a new behavioral axiom, Acyclic Enticement (AE), that requires the acyclicity of the cardinal revealed-preference relation. AE is logically independent from the Weak Axiom of Revealed Preference (WARP). We show that the Generalized Axiom of Revealed Preference (GARP), which characterizes the standard rational consumer, is logically equivalent to AE and WARP. We propose a new notion of rationalization by means of a price-dependent utility function that characterizes AE, which in particular is suitable for welfare analysis. We also propose a consistency condition for preference functions that is equivalent to WARP. We use our axiomatic decomposition to show, in experimental and scanner consumer-panel data sets, that AE explains the majority of the predictive success of GARP. Moreover, AE taken alone is superior in predictive success to both WARP and GARP.

Cortisol Meets GARP: The Effect of Stress on Economic Rationality

Rationality is a fundamental pillar of Economics. It is however unclear if this assumption holds when decisions are made under stress. To answer this question, we design two laboratory experiments where we exogenously induce physiological stress in participants and test the consistency of their choices with economic rationality. In both experiments we induce stress with the Cold Pressor test and measure economic rationality by the consistency of participants’ choices with the Generalized Axiom of Revealed Preference (GARP). In the first experiment, participants delay the decision-making task for 20 min until the cortisol level peaks. We find significant differences in cortisol levels between the stressed group and the placebo group which, however, do not affect the consistency of choices with GARP. In a second experiment, we study the immediate effect of the stressor on rationality. Overall, results from the second experiment confirm that rationality is not impaired by the stressor. If anything, we observe that compared to the placebo group, participants are more consistent with rationality immediately after the stressor. Our findings provide strong empirical support for the robustness of the economic rationality assumption under physiological stress. (This abstract was borrowed from another version of this item.)

The Impact of Menstrual Cycle Phase on Economic Choice and Rationality.

It is well known that hormones affect both brain and behavior, but less is known about the extent to which hormones affect economic decision-making. Numerous studies demonstrate gender differences in attitudes to risk and loss in financial decision-making, often finding that women are more loss and risk averse than men. It is unclear what drives these effects and whether cyclically varying hormonal differences between men and women contribute to differences in economic preferences. We focus here on how economic rationality and preferences change as a function of menstrual cycle phase in women. We tested adherence to the Generalized Axiom of Revealed Preference (GARP), the standard test of economic rationality. If choices satisfy GARP then there exists a well-behaved utility function that the subject’s decisions maximize. We also examined whether risk attitudes and loss aversion change as a function of cycle phase. We found that, despite large fluctuations in hormone levels, women are as technically rational in their choice behavior as their male counterparts at all phases of the menstrual cycle. However, women are more likely to choose risky options that can lead to potential losses while ovulating; during ovulation women are less loss averse than men and therefore more economically rational than men in this regard. These findings may have market-level implications: ovulating women more effectively maximize expected value than do other groups.

The Ambiguity Triangle: Uncovering Fundamental Patterns of Behavior Under Uncertainty

The probability triangle (also called the Marschak-Machina triangle) allows for compact and intuitive depictions of risk preferences. Here, we develop an analogous tool for choice under uncertainty ‐ the ambiguity triangle ‐ and show that indifference curves in this triangle capture preferences for unknown probabilities. In particular, the ambiguity triangle allows us to examine whether subjects adhere to the generalized axiom of revealed preference (GARP) and satisfy a non-parametric test for constant ambiguity attitudes. We find that more than 95% of subjects adhere to GARP and that about 60% satisfy our test for a constant ambiguity attitude. Yet, among these 60% of subjects there is substantial preference heterogeneity. We characterize this heterogeneity with finite-mixture estimates of a one-parameter extension of Expected Utility Theory wherein 48% of subjects are ambiguity averse, 22% are ambiguity seeking, and 30% are close to ambiguity neutral. The ambiguity triangle also highlights how variable ambiguity attitudes arise mainly because indifference curves are ’fanning-in’ across the triangle. This fanning-in property implies that aversion to ambiguity increases as the likelihood of receiving a good outcome increases. We capture this behavior with a simple parametric model that also allows for finite mixture characterizations of preference heterogeneity for these subjects. We show that for a substantial share of these subjects (43%) their fanning-in is so strong that, although they are initially ambiguity seeking, they become strongly ambiguity averse as the likelihood of receiving a good outcome increases.

The Ambiguity Triangle: Uncovering Fundamental Patterns of Behavior Under Uncertainty

The probability triangle (also called the Marschak-Machina triangle) allows for compact and intuitive depictions of risk preferences. Here, we develop an analogous tool for choice under uncertainty - the ambiguity triangle - and show that indifference curves in this triangle capture preferences for unknown probabilities. In particular, the ambiguity triangle allows us to examine whether subjects adhere to the generalized axiom of revealed preference (GARP) and satisfy a non-parametric test for constant ambiguity attitudes. We find that more than 95% of subjects adhere to GARP and that about 60% satisfy our test for a constant ambiguity attitude. Yet, among these 60% of subjects there is substantial preference heterogeneity. We characterize this heterogeneity with finite-mixture estimates of a one-parameter extension of Expected Utility Theory wherein 48% of subjects are ambiguity averse, 22% are ambiguity seeking, and 30% are close to ambiguity neutral. The ambiguity triangle also highlights how variable ambiguity attitudes arise mainly because indifference curves are ’fanning-in’ across the triangle. This fanning-in property implies that aversion to ambiguity increases as the likelihood of receiving a good outcome increases. We capture this behavior with a simple parametric model that also allows for finite mixture characterizations of preference heterogeneity for these subjects. We show that for a substantial share of these subjects (43%) their fanning-in is so strong that, although they are initially ambiguity seeking, they become strongly ambiguity averse as the likelihood of receiving a good outcome increases.

An expected utility maximizer walks into a bar...

We conducted field experiments at a bar to test whether blood alcohol concentration (BAC) correlates with violations of the generalized axiom of revealed preference (GARP) and the independence axiom. We found that individuals with BACs well above the legal limit for driving adhere to GARP and independence at rates similar to those who are sober. This finding led to the fielding of a third experiment to explore how risk preferences might vary as a function of BAC. We found gender-specific effects: Men did not exhibit variations in risk preferences across BACs. In contrast, women were more risk averse than men at low BACs but exhibited increasing tolerance towards risks as BAC increased. Based on our estimates, men and women's risk preferences are predicted to be identical at BACs nearly twice the legal limit for driving. We discuss the implications for policy-makers.

Does Market Experience Promote Rational Choice? Experimental Evidence from Rural Ethiopia

AbstractWe organize a field experiment with sesame farmers and brokers in northern Ethiopia to explore whether market experience fosters rational behavior—proxied by fewer Generalized Axiom of Revealed Preference (GARP) violations in a simple choice experiment. In the baseline study, farmers and brokers performed equally well or badly, which is consistent with qualitative evidence that the prior “trading experience” of our brokers is not obtained in a competitive setting. Following random assignment to a competitive market setting—a one-day trading session in a sesame auction—we find that treated farmers and brokers behave more rationally than their peers in the control group.

Revealed Preference in a Discrete Consumption Space

We show that an agent maximizing some utility function on a discrete (as opposed to continuous) consumption space will obey the generalized axiom of revealed preference (GARP), so long as the agent obeys cost efficiency. Cost efficiency will hold if there is some good, outside the set of goods being studied by the modeler, that can be consumed by the agent in continuous quantities. An application of Afriat's Theorem then guarantees that there is a strictly increasing utility function on the discrete consumption space that rationalizes price and demand observations. (JEL D11)

On Revealed Preference and Indivisibilities

We consider a practical market model in which all commodities are inherently indivisible and thus are traded in integer quantities, or consumption choices are available only in discrete quantities. We ask whether a finite set of price-quantity observations satisfying the Generalized Axiom of Revealed Preference (GARP) is consistent with utility maximization. Due to the absence of perfect divisibility and continuity, the existing argument and also familiar assumptions such as non-satiation cannot be used in the current discrete model. We develop a new approach to deal with this problem and establish a discrete analogue of Afrita’s celebrated theorem. We also introduce a new concept called tight budget demand set which is a natural refinement of the standard notion of demand set and plays a crucial role in the current analysis. Exploring network structure and a new and easy-to-use variant of GARP, we propose an elementary, simple, combinatorial and constructive proof for our result.

A simplified test for preference rationality of two-commodity choice

We provide a simplified test to determine if choice data from a two-commodity consumption set satisfies the Generalized Axiom of Revealed Preference (GARP), and thus the preference or utility maximization hypothesis. We construct an algorithm for this test and illustrate its application on experimental choice data.

A simplified test for preference rationality of two-commodity choice

We provide a simplified test to determine if choice data from a two-commodity consumption set satisfies the Generalized Axiom of Revealed Preference (GARP), and thus the preference or utility maximization hypothesis. We construct an algorithm for this test and illustrate its application on experimental choice data.

A COMPARISON OF TWO METHODS FOR TESTING THE UTILITY MAXIMIZATION HYPOTHESIS WHEN QUANTITY DATA ARE MEASURED WITH ERROR

The Generalized Axiom of Revealed Preference (GARP) can be violated because of random measurement errors in the observed quantity data. We study two tests proposed by Varian (1985) and de Peretti (2004), which test GARP within an explicit stochastic framework. Both tests compute adjusted quantity data that are compliant with GARP. We compare and contrast the two tests in theoretical terms and in an empirical application. The empirical application is based on testing a large group of monetary assets for the United States over multiple sample periods spanning 1960–1992. We found that both tests provided reasonable results and were largely consistent with each other.