THE WINNER’S CURSE The ‘‘winner’s curse’’ or, more precisely, failure to account for the winner’s curse was one of the first behavioral ‘‘anomalies’’ to be discussed in the literature.. T
Trang 1Nick Schandler
Much recent work in the area of behavioral economics has concentrated on so-called ‘‘behavioral anomalies.’’ These behavioral anomalies are seeming departures from the fundamental economic assumption of rational behavior.1 They suggest that economics actors are not maximizing utility subject to the relevant constraints as standard theory predicts Rather, ac-tors seem to be ‘‘leaving money on the table’’ when a costless alteration of behavior could result in superior outcomes Some researchers have con-tented themselves with explaining such anomalies and declaring such actions
‘‘irrational.’’ Other researchers see opportunity: each anomaly presents us with the problem of asking why actors choose to behave in ways that seem
to contradict standard behavioral assumptions The former indict the actors; the latter his assumptions
Among the second group of actors are the many economists who have attempted to explain such anomalies through the concept of bounded rationality Work on bounded rationality has focused on the actor’s limited cognitive abilities and knowledge to explain otherwise irrational behavior Since there is a ‘‘cost’’ to thinking, actors may choose to act according to habits or ‘‘rules of thumb,’’ even though such rules may frequently result in sub-optimal outcomes An attempt to process every bit of information available before acting would leave one frozen, unable to make even the most routine of decisions Rather, individuals’ rationality is bounded by its
Cognition and Economics
Advances in Austrian Economics, Volume 9, 275–284
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275
Trang 2limited information processing capacity We develop heuristics and habits that enable us to perform basic, everyday actions without attempting to fit these into some utility-maximizing framework
This idea of bounded rationality is often invoked to explain many of the so-called behavioral anomalies According to this approach, we should not expect individuals to follow some utility-maximizing path through time, constantly re-adjusting to equate costs and benefits at the margin with every changing circumstance Such behavior is simply too costly, too taxing on our cognitive resources
VernonSmith (2003)has touched on a slightly different approach In his
2002 Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel, he drew a distinction between constructivist rationality and ecological rationality in economics The constructivist approach views all social insti-tutions as the product of conscious, deductive reasoning starting from self-evident premises By contrast, ecological rationality views rationality as a phenomenon that emerges out of cultural and biological evolutionary proc-esses Human behavior comprises elements of both types of rationality While many of our behaviors can be seen as constructively rational, such as when we manage our investment portfolio to achieve a specific risk–reward balance, the majority of our behavior is not so deliberately calculated One is simply unable to calculate the ‘‘optimal’’ basket of groceries in a store carrying 30,000 items
These differing views of rationality have found relevance in today’s lit-erature on behavioral anomalies Such anomalies have been analyzed largely through the lens of constructivism, and are, from this standard, both de-ficient and anomalous But from an ecological perspective, such anomalies may be seen as fully rational responses to our limited knowledge concerning the relevant knowledge and effects of our actions
THE WINNER’S CURSE The ‘‘winner’s curse’’ (or, more precisely, failure to account for the winner’s curse) was one of the first behavioral ‘‘anomalies’’ to be discussed in the literature The idea dates back to 1971, and was first applied to the bidding for oil drilling rights (SeeCapen, Clapp, & Campbell, 1971) The winner’s curse is the phenomenon of systematically upward-biased winning bids in an auction market That is, the winning bid in an auction tends to be much higher than some objectively defined value of the good.2 The basis of the anomaly is relatively simple In an auction with a large number of buyers,
Trang 3each possessing imperfect information concerning the value of the auctioned good, there will be a spread of estimated values If buyers possess rational expectations, we will expect roughly half (assuming a symmetric distribution
of estimates) of the bidders to overestimate the value of the good, and roughly half to underestimate its true value If buyers naively bid their estimated value of the good, the winning bid will equal the most extremely over-valued estimate Thus, the winning bid will not only be an overestimate
of the good’s true value, but it will be the most extreme overestimate made
by any bidder Hence, while on average an individual’s bid may equal the actual value of the auctioned good, the winning bid will most likely be a severe overestimate of the good’s value For this reason, bidders who naively bid their estimated value at an auction will tend to regret winning
The rational bidder will consciously take this into account, and adjust his bid downward to reflect the presence of the winner’s curse For example, suppose that, given the number of buyers, the distribution of estimates, etc the winning bid is expected to be made by a bidder who overestimates the true value of the good by three standard deviations A rational bidder, then, will subtract three standard deviations from his estimate to arrive at his bid His bid, conditional on it being accepted, is now equal to the expectation of the good’s true value.3
The anomaly, then, is why this does not tend to happen Field data has suggested that firms tend to systematically overpay for a wide variety of assets, including other firms.4 Experimental evidence has also fairly con-sistently replicated these results in a wide variety of contexts, even among experienced subjects who are given learning opportunities The winner’s curse seems not to be accounted for by buyers, even by those who are given learning opportunities and have a monetary incentive to factor in the phenomenon This is the heart of the anomaly
THE ENDOWMENT EFFECT, LOSS-AVERSION, AND
STATUS QUO BIAS The endowment effect, loss-aversion, and the status quo bias are related anomalies, often hard to distinguish conceptually or in practice The en-dowment effect can be defined as the observed pattern that people often demand much more to give up an object than they would be willing to pay
to acquire it Manifestations of the endowment effect can often also be seen
as examples of the status quo bias, a preference for the current state of affairs, per se Loss-aversion, or the practice of assigning a greater weight to
Trang 4the loss of an object than you ascribe to the acquisition of the same object, can often also be framed as an occurrence of either the endowment effect or status quo bias Rather than three separate anomalies, the endowment effect, loss-aversion, and status quo bias can be seen as three manifestations
of the same phenomenon
The experimental evidence documenting this behavior is well-established
Knetsch and Sinden (1984)provided one of the earliest laboratory demon-strations of the endowment effect In this study, participants were endowed with either $2.00 or a lottery ticket Each subject was offered to trade the lottery ticket for the money, or vice versa Standard economic theory would predict that approximately 50% of participants would choose to switch their endowed good for the alternative However, very few subjects chose to switch Those who were given lottery tickets tended to prefer lottery tickets while those who were given cash tended to prefer the cash, even though the cash and the lottery tickets were assigned to participants arbitrarily.Kahneman, Knetsch, and Thaler (1990)found that the endowment effect survives when subjects face market discipline and have a chance to learn, thoughCoursey, Hovis, and Shulze (1987) had previously found that a market setting does diminish (but not eliminate) the extent of the bias
Some critics of these experiments have pointed out the existence of an income effect that could potentially account for these results That is, participants who received a unit of good X will be richer, on average, than participants who did not receive good X On the basis of this alone, we would expect those who received good X to have a higher reservation price for this good than those who did not receive good X would be willing to pay, and thus we should not see a full 50% of units exchange hands
However, the value of the endowments are typically small ($10 or less), making it highly unlikely that any income effect could account for such a large deviance from predicted results Further, experiments have been de-signed specifically to counter this criticism, with little or no change in ob-served behavior.5It appears that the income effect cannot account for such behavior
The status quo bias was picked up first by Samuelson and Zeckhauser (1988) In this experiment, participants were given a choice between differ-ent investmdiffer-ent options Researchers found that participants were more likely to choose a particular option if it was designated as the status quo Experimenters divided participants into two groups The first group was given the hypothetical option to invest in either a moderate-risk company, a high-risk company, treasury bills, or municipal bonds The second group was given the same options However, one choice was designated as the
Trang 5status quo Specifically, the following phrase was added the passage: ‘‘A significant portion of this portfolio is invested in a moderate-risk
com-pany y (The tax and broker commission consequences of any change are
insignificant.).’’ Samuelson and Zeckhauser found that an option became significantly more popular if it was designated as the status quo
The same basic experimental design was replicated with different ques-tions, with no change in basic results It should also be noted that the advantage of being designated the status quo increases with the number of alternatives Critics have sometimes pointed out the lack of a monetary incentive for respondents to answer accurately Such criticisms should be taken seriously, though they are beyond the scope of this paper There are many examples, however, of behaviors that are most naturally explained using the status quo bias
The third leg of this tripartite anomaly is loss-aversion A person expe-riences loss-aversion if losses loom larger than improvements or gains in a decision maker’s internal calculus That is, ‘‘significant carriers of utility are not states of wealth or welfare, but changes relative to a neutral reference point’’ (Thaler, 1992, p 70) This implies an abrupt change of slope, or kink,
at the origin, or reference point
In Conflict and Cooperation: Institutional and Behavioral Economics (Blackwell Publishing, 2004), A Allan Schmid attempts to integrate the study of institutional economics with recent work in behavioral economics
As Professor Schmid argues, ‘‘institutional economics is firmly rooted in the behavioral sciences and its theory is built on our best understanding of how the brain works’’ (Schmid, 2004,p 19) That is, ‘‘to understand the impact
of alternative institutions, it is necessary to gather data reflecting the actual decision heuristics that people use’’ (p 20) This is undoubtedly true Ob-viously one cannot understand how institutions affect economic perfor-mance until we know the effect that a different environment has on an individual’s cognitive processes Designating an option as the status quo may have little or no effect in a standard model, but in a model where the status quo bias is prevalent, it may radically alter the outcome Further, these behavioral anomalies will alter the feedback that others receive, thereby altering the evolutionary path of the institutional environment itself Clearly, institutional analysis cannot ignore the behavioral literature Schmid goes on to explain the role of institutions in helping form heu-ristics, and in determining which heuristics are applied in any given situ-ation Institutions determine when we employ a maximization calculus and when we apply rules of thumb, when we buck trends and when we go with the flow, when we stick to our diet and when we have a second helping of
Trang 6dessert Institutional analysis and behavioral economics are inextricably linked, existing side by side and simultaneously determining results It should come as no surprise, then, that psychological research has shown that context can be a powerful determinant of decision-making behavior.6 Recent experimental studies have explored some of these context effects.7 Schmid is surely correct to link institutional economics with the behavioral literature Neither discipline has a monopoly on the truth, and we should take Professor Schmid’s insistence on the intricate relationship between the two disciplines seriously While traditional behavioral literature has focused
on the limited processing capacity of our brain as the reason for developing heuristics, we should also acknowledge Vernon Smith’s ecological rationality
as a root cause of such heuristics It is true that our brain is unable to comprehend all of the information we have available at our disposal, but it is also true that we do not have access to much of the information necessary to evaluate the consequences of a particular behavior It is not simply that we engage rules to conserve on scarce brain-power; it is also that we cannot know all of the relevant information, or even what the relevant information
is Even if our brain were able to instantaneously calculate utility levels and spit out the ‘‘optimal’’ basket of 30,000 different goods in a grocery store, man would still rely on norms and rules of behavior to get by Bounded rationality points out our limited processing skills But the idea
of ecological rationality goes further to stress the limited scope of our knowledge
Consider the winner’s curse described above Though studies have shown that individuals fail to consciously account for the winner’s curse, buyer’s remorse does not seem widespread EBay remains a popular medium for purchasing goods, with most of its customers being repeat purchasers Returns and exchanges seem to be the exception rather than the rule Consumers by and large remain happy with their purchases How do buyers seem to avoid the winner’s curse even when the vast majority of individuals have no idea of even what the winner’s curse is, much less take conscious steps to correct for it?
One way to view many of the behavioral rules that individuals follow is as ecologically rational responses to such problems Consider the status quo bias, for example This is typically described as an irrational desire to remain with the current state of affairs The status quo is preferred for its own sake While the status quo bias may indeed be costly to somebody who passes up
a profitable opportunity by stubbornly clinging to the status quo, it also helps individuals avoid the winner’s curse A person who would otherwise jump at all the ‘‘deals’’ that come his way now has something tugging at his
Trang 7sleeve, obstinately telling him to just stick with what has worked in the past Such behavior helps him avoid ruin
At some level, this is acknowledged by most behavioral economists For example, Thaler states, ‘‘following the rule ‘don’t accept an offer that looks too good to be true’ protects people from disaster (at the cost of passing up
an occasional really good deal)’’ (Thaler, 1996, p 229).Schmid (2004, p 44)
then adds, ‘‘Thaler uses this observation to destroy the argument that people must be rational to survive in the long run’’ In what way can such a rule be considered irrational? Only in the constructivist sense, the only sense in which Thaler and Schmid seem to use the word ‘‘rational.’’ To view the only form of rationality as rationality in the constructivist sense, however, is to misunderstand its nature and to deny its limitations
The endowment effect and loss-aversion similarly help individuals avoid ruin Consider the flip side of the winner’s curse, what could be called
‘‘seller’s remorse.’’ Just as those buyers who most severely overestimate the value of a good will tend to win auctions and overpay (absent any constructivist or ecological response), those sellers who most severely un-derestimate the value of a good will tend to dispose of their goods at too low
a cost
But such ‘‘seller’s remorse,’’ like ‘‘buyer’s remorse,’’ seems to be the ex-ception, and not the rule How do sellers avoid disaster? Not through any constructivist adjustment to account for the phenomenon, but rather through exhibiting loss-aversion and the endowment effect Sellers are loath
to part with a good they know little about, even if they can’t explain why Like the status quo bias with buyers, these behavioral rules prevent indi-viduals from making costly mistakes
Experimental evidence reinforces the beneficial functions these behavioral rules.Genesove and Mayer (2001)note that investors who don’t live in their condos exhibit less loss-aversion than owners who do A field experiment by
List (2003)found that amateur sports paraphernalia collectors who do not trade very often showed an endowment effect, but professional dealers and amateurs who trade a lot did not Further, by revisiting the same traders a year later, List showed that it was trader experience that reduced endow-ment effects, rather than self-selection This research indicates that such behavioral anomalies are used primarily by individuals when placed in an unfamiliar environment, where the likelihood of making costly buying or selling decisions is large As individuals begin to become more familiar with
an environment, and thus less prone to exhibit the winner’s curse or seller’s remorse, they discard such rules, and apply a more standard maximization calculus
Trang 8CONCLUSION Professor Schmid is surely correct to link institutional analysis and behavioral economics And his focus on the limited processing capabilities of the human mind gives us one way to analyze the role of many institutions But this is not the whole story Institutions not only conserve on limited processing power, but in fact make use of much knowledge that remains elusive to any single actor It is not only that we cannot process all the knowledge that we have access to, but also that there is a great deal of knowledge that we do not have access to, that we cannot retrieve, and that we do not even know exists This is a major function of institutions, and one we would do well to recognize
NOTES
1 The term ‘‘rational’’ is here used in the more common neoclassical sense of maximizing expected utility subject to the constraints the actor faces The term
‘‘rational’’ in economics is also sometimes used in a more general sense to mean
‘‘purposive action,’’ e.g see Ludwig von Mises, Human Action, pp 19–22 However, since even so-called behavioral anomalies are rational under this definition, we will eschew such usage for now and focus instead only on the more narrow neoclassical sense
2 We must assume that the good being bid upon has some ‘‘objective’’ value that could be reasonably agreed upon by the bidders in the market Thus, research in this area has tended to focus on business decisions, where non-monetary factors can be assumed to be negligible Experiments that have auctioned off goods to individuals have tended to be goods whose utility is primarily or entirely based on the income they provide, e.g jars of pennies In this way, the ‘‘objective’’ value of the good can
be reasonably approximated.Heiner (1985)has used this argument to conjecture that the results of such experiments need not generalize to all market settings
3 In a thin market, a bidder may choose to reduce his estimated bid by more than his expected overestimate conditional on tendering the successful bid Specifically, a bidder may attempt to maximize p(x)*u(x), where p(x) is the probability of tendering the winning bid, and u(x) is the expected utility of winning the auction That is, he will want to increase the size of his ‘‘cushion’’ so that winning the auction is an expected utility-enhancing outcome; but this tendency will be tempered by the de-creasing probability of winning the auction as his ‘‘cushion’’ becomes larger In a thick market, we may assume that competition among bidders forces the cushion to equal the estimated overestimate conditional on winning, eliminating this profit op-portunity and reducing the expected utility of winning the auction to 0 This assumes that bidders have perfect information concerning the size of the standard deviation
of estimates, the shape of the distribution, etc Merely assuming RE on the part of bidders here does not solve the problem, as now those bidders who tended to
Trang 9underestimate the standard deviation of estimates will tend to ‘‘under-cushion’’ their bids and thus still experience a meta-winner’s curse Thus, consciously accounting for the winner’s curse is not as simple as it first appears – bidders must account for the winner’s curse in estimates, and the winner’s curse in estimates of estimates, etc
4 Of course, the winner’s curse is not the only possible explanation of such behavior Much work has focused on the non-monetary incentives of agents to expand their businesses beyond that size or scope which maximizes the value of the company
5 For example, one such study is documented inKahneman et al (1990)
6 SeeGoldstein and Weber (1995); Loewenstein (2001)
7 See Cooper, Kagel, Wei, and Qilo (1999); Hoffman, McCabe, Shachat, and Smith (1994)
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