proper risk aversion on introduit et on etudie une condition comportementale significative sur les fonctions d utilite pour les richesses qui signifie qu une loterie indesirable ne peut jamais etre rendue desirable par la presence d une loterie indesirable independante

resolving differences in willingness to pay and willingness to accept reply gwendolyn c morrison 1997 raises a logical point regarding our experimental test of the divergence between willingness to pay wtp and willingness to accept wta measures of economic value shogren et al 1994 she argues that our design does not provide a true test of the existence of a fundamental endowment effect since we did not control for the potential of a pivoting indifference map daniel kahneman et al 1990 she concludes that even though our ev idence shows that the mean wtp and wta bids for market goods with close substitutes e g candy bars and coffee mugs converge after market experience the endowment effect might still be alive and well albeit at statisti cally insignificant levels

the winner s curse experiments with buyers and with sellers this paper explores the winner s curse phenomena as it was studied experimentally by kagel and levin experiments with the winner s curse are complicated by the fact that subjects can lose money and the experimenter has only a limited means of collecting it from them thus subjects enjoy only limited liability which has theoretical implications for behavior in the kagel and levin experiments subjects were removed from the bidders competition after losses reached a predetermined value this experimental procedure has unknown implications for the results so ambiguity exists about whether the winner s curse was actually observed in this study their results were replicated in an environment in which subjects were not removed the case in which competitors are sellers is also studied bankruptcy cannot be a problem in sellers competition in both cases the winner s curse is observed thus the limited liability cannot be an explanation for the phenomenon reported by kagel and levin in addition the paper examines the bidding behavior of all individuals and shows that this behavior does not fit any of the tested theories either on the aggregate or individual level the winner s curse did not disappear over time during the conduct of the research

does risk aversion or attraction depend on income an experiment does risk attitude aversion or attraction vary with the level of the income at risk about half of our subjects chose to insure all levels whereas another half chose instead not to insure low levels but to insure high levels

robustness of bidder preferences among auction institutions i introduction the answer to the question of how bidders choose to enter one auction versus an alternative competing auction is important to understand in providing a complete picture of the nature of endogenous entry decisions into auctions the issue of how a bidder chooses which among alternative auctions to enter as well as whether to enter an auction at all is of substantial importance to auctioneers attempting to attract bidders to their auctions there is a growing literature addressing issues in endogenous entry in auctions there are several papers such as engelbrecht wiggans 1993 pevnitskaya 2004 and palfrey and pevnitskaya 2008 that consider the decision of whether to enter an auction or not and study the effect of endogenous entry on bidding behavior there is a much larger group for example harstad 1990 engelbrecht wiggans 1993 levin and smith 1994 mcafee 1993 and mcafee and mcmillan 1987 that considers competition between auctioneers in which the auctioneers are competing along some characteristic such as entry price we consider the case in which auctioneers may be competing with each other based on the choice of auction mechanism our interest is in the degree to which the auction mechanism itself might impact the entry decisions of potential bidders of course there would be a direct pecuniary impact of the mechanism in that bidders should be more likely to enter auction mechanisms that they believe allow them to get lower prices but there may be other cognitive issues in regard to the structure of the mechanism that may also impact the choice behavior in ivanova stenzel and salmon iss 2004a we introduced an experimental design aimed at eliciting and measuring preferences subjects might possess for different auction institutions and applied the design to testing bidder preferences between ascending a dynamic mechanism and sealed bid first price a static mechanism auctions it seems reasonable to expect bidders to have preferences between these two auction mechanisms due to the strategic differences between them in a first price auction the winner pays a price equal to his own bid whereas in the ascending auction he pays a price that is an increment above the second highest bid these differences might result in difficulty of deciding how to bid and in the possibility of experiencing some form of regret 1 the design involved having subjects make a choice between entering into a two bidder sealed bid first price auction versus a two bidder ascending auction each with different entry prices by varying the entry prices we could measure the subjects willingness to pay for either auction our main finding in the paper was that while subjects exhibited strong preferences for the ascending auction at equal entry prices they were not willing to pay up to the expected profit difference between the two auctions to participate in an ascending auction thus they ended up entering the supposedly less preferred sealed bid first price auction even in situations in which they would expect to make a higher net surplus including the cost of the entry fee by entering into the ascending auction instead that paper proposed one possible answer to the puzzle that involved assuming that bidders were risk averse in their bidding behavior and then risk averse to the same degree in their auction choice behavior this explanation worked because neither risk averse nor approximately risk neutral bidders should be expected to pay much to enter into an ascending auction instead of a sealed bid first price auction just as we observed in the experiment for the most risk averse bidders this is because while they bid the highest in the first price auction and therefore expected little surplus in the event that they win they consequently end up winning with higher probability than less risk averse bidders this is a trade off risk a verse bidders are willing to accept and consequently it is easy to show that highly risk averse bidders should not be willing to pay much to get into the more lucrative though risky ascending auction

budget deficits and interest rates in the united states in this paper an attempt has been made to reexamine the effect of budget deficits in the united states on interest rates unlike the previous studies which use only one definition of the dependent variable we have used all three namely the nominal and the ex post and the ex ante real interest rate further unlike previous studies we considered both short term and long term interest rates our results provide absolutely no support for the proposition that federal deficits affect interest rates and thus contradict the recent findings by cebula 1987 and kolluri and giannaros 1987 finally the paper provides some further support for the inverted fisher hypothesis proposed by carmichael and stebbing 1983

equilibrium bid functions for auctions with an uncertain number of bidders abstract the number of rivals may be unknown when a bidding strategy is formulated in an auction in a symmetric model with risk neutral bidders holding independent information we obtain explicit equilibrium bidding functions for first price and second price auctions with uncertainty about the number of rivals five auctions are revenue equivalent first price and second price auctions each with the number of bidders known or uncertain and english auctions

the assessment of large compounds of independent gambles the paper gives necessary and sufficient conditions for an expected utility maximizing decision maker to prefer any compound ni 1xi of n independent identically distributed random variables over any other such compound ni 1 i with e i exi provided that n is sufficiently large a sufficient condition is that absolute risk aversion go to zero as the decision maker s wealth becomes unboundedly positive or negative the analysis is applied to give necessary and sufficient conditions for the desirability of max expected log policies in multiperiod choice problems with a distant time horizon journal of economic literature classification numbers d81 g11 g21 g22

loss aversion in a consumption savings model abstract we propose a model of consumption and saving based on kahneman and tversky s prospect theory that implies a fundamental asymmetry in consumption behavior inconsistent with other models of consumption when there is sufficient income uncertainty a person resists lowering consumption in response to bad news about future income this resistance is greater than the resistance to increasing consumption in response to good news we present empirical evidence from five countries that confirms this behavior

tests of a heterogeneous bidders theory of first price auctions abstract this paper reports the results of eight first price sealed bid auction market experiments using cash motivated subjects to test a constant relative risk averse model crram of equilibrium bidding behavior of heterogeneous bidders

timid choices and bold forecasts decision makers have a strong tendency to consider problems as unique they isolate the current choice from future opportunities and neglect the statistics of the past in evaluating current plans

risk aversion and expected utility theory a calibration theorem within the expected utility framework the only explanation for risk aversion is that the utility function for wealth is concave a person has lower marginal utility for additional wealth when she is wealthy than when she is poor this paper provides a theorem showing that expected utility theory is an utterly implausible explanation for appreciable risk aversion over modest stakes within expected utility theory for any concave utility function even very little risk aversion over modest stakes implies an absurd degree of risk aversion over large stakes illustrative calibrations are provided

the nature of information and its effect on bidding behavior laboratory evidence in a first price common value auction abstract we study in the laboratory a series of first price sealed bid auctions of a common value good bidders face three types of information private information public information and common uncertainty auctions are characterized by the relative size of these three information elements only half of our subjects bid differently depending on whether the last piece of information obtained is private or public but they do not react to each type of information as predicted by theory the other half of the subjects do not distinguish between private and public information and either consistently underbid or consistently overbid

risk aversion and the winner s curse this article analyzes an auction in which bidders see independent components of a common prize value the nash equilibrium for two rational bidders is shown to be independent of risk attitudes the information structure allows explicit calculation of an alternative equilibrium in which naive bidders do not correctly discount the value of the prize contingent on winning and thus they suffer the winner s curse subjects in a laboratory experiment clearly fall prey to the winner s curse the data conform most closely to the predictions of the naive model moreover the level of risk aversion implied by fitting the naive model is similar to an independent risk aversion measure obtained in a separate private value bidding exercise

nonlinear behavior in sealed bid first price auctions the extent to which the behavior of people is consistent with game theoretic principles is investigated in a first price sealed bid auction environment three linear rules of thumb with increasing complexity are used as benchmarks to gauge the accuracy of the constant relative risk aversion model crram in addition the crram is tested against the relaxation of the rational expectation hypothesis existing competitive bidding experiments cannot clearly distinguish between game theoretic models and linear markdown rules on an individual level within the parametric environments studied and reported in the experimental literature game theoretic solutions are linear over the range of private values in which bid functions are estimated in this study agents drew values from non uniform distributions as a result the game theoretic bidding behavior is nonlinear due to the nonlinearity special econometric and numerical techniques are applied to solve the model and obtain the estimates the crram exhibits good fit of the data the pseudo r2 is greater than 0 8 in 90 percent of the subjects the crram is more accurate than the markdown model mm and the simple ad hoc model simam but not as accurate as the sophisticated ad hoc model sop am the data also supports the relaxation of the rational expectation hypothesis and suggests that substantial increases in the predictive power of game theoretic models can be gained from improvements in the theory of belief formation

choice under uncertainty problems solved and unsolved ffifteen years ago the theory of choice under uncertainty could be considered one of the success stories of economic analysis it rested on solid axiomatic foundations it had seen important breakthroughs in the analytics of risk risk aversion and their applications to economic issues and it stood ready to provide the theoretical underpinnings for the newly emerging information revolution in economics 1 today choice under uncertainty is a field in flux the standard theory is being challenged on several grounds from both within and outside economics the nature of these challenges and of our profession s responses to them is the topic of this paper

rational frenzies and crashes most markets clear through a sequence of sales rather than through a walrasian auctioneer because buyers can decide whether to buy now or later rather than only now or never their current willingness to pay is much more sensitive to price than the demand curve is a consequence is that markets will be extremely sensitive to new information leading to both frenzies in which demand feeds on itself and crashes in which price drops discontinuously the paper also shows how a result from static auction theory the revenue equivalence theorem can be applied to solve for a dynamic price path

maxmin mechanism in a simple common value auction this paper models the data generating process of common value auctions in a parameter estimation way known as the classical approach in statistical inference viewing the true value of the object as a parameter that nobody ever knows we let our value function be the average of the individual estimations signals of all agents a robust estimation of the parameter under this simple value function we select almost uniquely the mechanism that gives the seller the largest portion of the true value in the worst situation among all the direct mechanisms that are feasible ex post implementable and individual rational our maxmin mechanism which randomly assigns the object to one agent provides the seller n 1 n of the true value when expected revenue is concerned where n is the number of the agents

examining risk preferences under high monetary incentives experimental evidence from the people s republic of china several experimental sessions were conducted to elicit certainty equivalents for a sequence of lotteries involving real monetary outcomes the opportunity to conduct sessions in the people s republic of china afforded the ability to offer very large monetary incentives relative to subjects living costs in the highest payoff condition subjects earned three times their normal monthly revenue in the course of a two hour experiment results indicate a statistically significant impact of the level of monetary incentives on revealed risk preferences however even under extreme monetary incentives subjects demanded amounts well in excess of expected value for low probability gain prospects copyright 1992 by american economic association

risk attitudes in first price auction experiments a bayesian analysis non cooperative bidding theory for sealed bid auctions generally implies testable predictions that are conditioned on the risk attitudes of agents received laboratory experiments that purport to test this theory do not generally control for the risk attitudes of subjects those experiments exhibit behavior inconsistent with popular bidding models that assume that agents have the same aversion to risk or are all risk neutral this paper constructs an explicit bayesian prior distribution for the risk attitudes of experimental subjects and reconsiders the experimental results it finds that observed bidding behavior is still inconsistent with the nash predictions when explicit prior weights are attached to alternative assumptions about subject risk attitudes thus one cannot account for observed bidding anomalies by appealing to uncontrolled nuisance variables such as risk attitudes non cooperative bidding theory for sealed bid auctions generally implies testable predictions that are conditioned on the risk attitudes of agents archetypical of this result is the nash equilibrium prediction for first price auctions for an object that is valued by agents in an independent and private manner received laboratory experiments that purport to test this theory do not generally control for the risk attitudes of subjects those experiments exhibit behavior inconsistent with popular bidding models that assume that agents have the same aversion to riskor are all risk neutral in this paper we construct an explicit prior distrlbution for the risk attitudes of experimental subjects and reconsider the experimental results we find that observed bidding behavior is indeed consistent with the nash predictions when explicit prior weights are attached to alternative assumptions about subject risk aversion however when one allows for risk loving subjects as well observed behavior is inconsistent with nash predictions thus one cannot account for observed bidding anomalies by appealing to uncontrolled nuisance variables such as risk attitudes in section i we consider a specific nash equilibrium ne bidding model due to cox roberson and smith 1982 and cox smith and walker 1988 that clearly illustrates the risk sensitivity of the theoretical predictions in section ii we provide independent evidence of the risk attitudes of experimental subjects in a test for risk attitudes developed by harrison 1986a this evidence allows us to construct an explicit prior probability density function over the coefficient of constant relative risk attitudes employed in the specific bidding model of section i in section iii we reconsider the evidence from the first price fp experiments reported in cox roberson and smith 1982 and cox smith and walker 1983a 1983b i a specific bidding model cox roberson and smith 1982 hereafter crs present a model based on a power function utility specification for agent i ui y y 1 received for publication august 31 1987 revision accepted for publication december 18 1989 university of south carolina i am grateful to two anonymous referees for helpful comments although they are not responsible for my conclusions

theory and misbehavior of first price auctions recent experimental evidence appears to reject simple nash equilibrium models of bidding behavior in first price auctions the author presents a methodological critique of this evidence existing tests have concentrated on deviations of subjects from predictions in the message space of the action bid deviations the author suggests that it is more natural to evaluate subject behavior in expected payoff space he concludes that the evidence against the simple models is not significant enough to warrant their rejection copyright 1989 by american economic association

the loser s curse if the value of a commodity is unknown a prospective buyer must realize that a bid based on an overestimate of its value is likely to be accepted in this situation merely finding out that one s bid is accepted may cause one to reduce the estimate of a commodity s value so winning an auction can bring a feeling of regret 1 acceptance of a bid is an informative event and failure to incorporate this contingent information into the bidding strategy can lead to excessive bids and subsequent losses a result widely known as the winner s curse 2 there is considerable anecdotal evidence that bidders for a prize of uncertain value fall prey to the winner s curse and persistent overbidding has also been observed in laboratory experiments 3 there is a second factor that can also induce overbidding the thrill of winning this raises the possibility that overbidding is due to a utility of winning instead of being the result of an irrational failure to anticipate the informational content of a bid s acceptance one way to distinguish these explanations is to examine a situation in which the winner s curse effect is neutralized to see if bids are still too high in order to neutralize the winner s curse we identify an opposing bias a situation in which a failure to anticipate the informational content of a bid s acceptance will cause one to bid below the optimal bid resulting in a loser s curse since the loser s curse produces underbidding its effect is the opposite of that arising from the winner s curse

first order risk aversion and the equity premium puzzle abstract this paper integrates yaari s dual theory of choice under uncertainty into a multiperiod context and examines its implications for the equity premium puzzle an important property of these preferences is that of first order risk aversion which implies in our model that the risk premium for a small gamble is proportional to the standard deviation rather than the variance since the standard deviation of the growth rate in aggregate consumption is considerably larger than its variance the model can generate both a small risk free rate and a moderate equity premium