the nature of social learning experimental evidence in the wide economic literature on social learning many types of behavior rational and non rational have been proposed i suggest a level k model that unifies many of them in one framework this paper analyzes experimental data that is able to distinguish between levels of reasoning at the individual level it relies on rich existing data from celen and kariv 2004 as well as new experimental data that includes written accounts of reasoning from incentivized intra team communication three datasets provide consistent evidence that naive inference in form of the best response to truthful play is the most common approach to social learning the empirical type distributions feature heterogeneity similar to other level k applications

the impact of mandatory disclosure laws on product choices an analysis of the salad dressing market abstract the nutrition labeling and education act nlea requires most food products to include a nutrition label prior to the nlea labeling was voluntary this study uses nutrition label information and supermarket scanner data pre and post nlea to examine the impact of moving from a voluntary to a mandatory labeling regime on consumer product choice the voluntary unraveling of information is shown to be an important market mechanism prior to the nlea all low fat salad dressings had a nutrition label while the majority of the higher fat dressings did not however there remained large variation in fat content among dressings that did not voluntarily label those with the highest fat levels experienced a significant decline in sales after they were required to disclose the results indicate that even in markets with credible low cost mechanisms to disclose mandatory labeling can have an impact on consumer behavior and health

decision maker preferences for international legal cooperation why do some decision makers prefer big multilateral agreements while others prefer cooperation in small clubs does enforcement encourage or deter institutional cooperation we use experiments drawn from behavioral economics and cognitive psychology along with a substantive survey focused on international trade to illustrate how two behavioral traits patience and strategic reasoning of individuals who play key roles in negotiating and ratifying an international treaty shape their preferences for how treaties are designed and whether they are ratified patient subjects were more likely to prefer treaties with larger numbers of countries and larger long term benefits as were subjects with the skill to anticipate how others will respond over multiple iterations of strategic games the presence of an enforcement mechanism increased subjects willingness to ratify treaties however strategic reasoning had double the effect of adding enforcement to a trade agreement more strategic subjects were particularly likely to favor ratifying the agreement we report these results for a sample of 509 university students and also show how similar patterns are revealed in a unique sample of ninety two actual us policy elites under some conditions certain types of university student convenience samples can be useful for revealing elite dominated policy preferences different types of people in the same situation may prefer to approach decision making tasks and reason through trade offs in materially different ways

boundedly rational versus optimization based models of strategic thinking and learning in games harstad and selten s article in this forum performs a valuable service by highlighting the dominance of optimization based models over boundedly rational models in modern microeconomics and questioning whether optimization based models are a better way forward than boundedly rational models this article complements rabin s response to harstad and selten focusing on modeling strategic behavior i consider harstad and selten s examples and proposed boundedly rational models in the light of modern behavioral economics and behavioral game theory commenting on the challenges that remain and the most promising ways forward

primaries and candidate polarization behavioral theory and experimental evidence do primary elections cause candidates to take extreme polarized positions standard equilibrium analysis predicts full convergence to the median voter s position with complete information but behavioral game theory predicts divergence when players are policy motivated and have out of equilibrium beliefs theoretically i show that primary elections can cause greater extremism or moderation depending on the beliefs candidates and voters have about their opponents in a controlled incentivized experiment i find that candidates diverge substantially and that primaries have little effect on average positions voters employ a strategy that weeds out candidates who are either too moderate or too extreme which enhances ideological purity without increasing divergence the analysis highlights the importance of behavioral assumptions in understanding the effects of electoral institutions

the consumption real exchange rate anomaly with extensive margins abstract this paper investigates a consumption real exchange rate anomaly from the open macroeconomics literature known as the backus smith puzzle we both analytically and quantitatively examine how an expansion of trade along extensive margins can contribute to the puzzle s resolution our argument is based on 1 a wealth effect due to changes in the number of product varieties 2 statistical inefficiency in measuring the number of product varieties and 3 market incompleteness contrary to complete asset markets which in general feature overly strong risk sharing properties changes in the number of product varieties under incomplete markets may produce a wealth effect under high trade elasticity since statistical agencies systematically fail to capture the welfare impact arising from that changes data consistent terms of trade and real exchange rates tend to appreciate due to this positive wealth effect this provides a realistic correlation between data consistent real exchange rates and consumption

the informational theory of legislative committees an experimental analysis we experimentally investigate the informational theory of legislative committees gilligan and krehbiel 1989 two committee members provide policy relevant information to a legislature under alternative legislative rules under the open rule the legislature is free to make any decision under the closed rule the legislature chooses between a member s proposal and a status quo we find that even in the presence of biases the committee members improve the legislature s decision by providing useful information we obtain evidence for two additional predictions the outlier principle according to which more extreme biases reduce the extent of information transmission and the distributional principle according to which the open rule is more distributionally efficient than the closed rule when biases are less extreme we find that the distributional principle dominates the restrictive rule principle according to which the closed rule is more informationally efficient overall our findings provide experimental support for gilligan and krehbiel s informational theory

imperfect choice or imperfect attention understanding strategic thinking in private information games to understand the thinking process in private information games we use mousetracking to record which payoffs subjects attend to the games have three information states and vary in strategic complexity subjects consistently deviate from nash equilibrium choices and often fail to look at payoffs which they need to in order to compute an equilibrium response choices and lookups are similar when stakes are higher when cluster analysis is used to group subjects according to lookup patterns and choices three clusters appear to correspond approximately to level 3 level 2 and level 1 thinking in level k models and a fourth cluster is consistent with inferential mistakes as for example in qre or cursed equilibrium theories deviations from nash play are associated with failure to look at the necessary payoffs the time durations of looking at key payoffs can predict choices to some extent at the individual level and at the trial by trial level

an experimental study of truth telling in a sender receiver game a recent experimental study of cai and wang 2005 on strategic information transmission reveals that subjects tend to transmit more information than predicted by the standard equilibrium analysis to evidence that this overcommunication phenomenon can be explained in terms of a tension between normative social behavior and incentives for lying we show in a simple sender receiver game that subjects incurring in costs to punish liars tell the truth more often than predicted by the logit agent quantal response equilibria whereas subjects that do not punish liars after receiving a deceptive message play on the aggregate equilibrium strategies thus we can partition the subject pool into two groups one group of subjects with preferences for truth telling and one taking into account only material incentives

identifying higher order rationality strategic choice data from a carefully chosen set of ring network games are used to obtain individual level estimates of higher order rationality the experimental design exploits a natural exclusion restriction that is considerably weaker than the assumptions underlying alternative designs in the literature in our data set 93 percent of subjects are rational 71 percent are rational and believe others are rational 44 percent are rational and hold second order beliefs that others are rational and 22 percent are rational and hold at least third order beliefs that others are rational

meaning and credibility in cheap talk games i define neologism proofness a refinement of perfect bayesian equilibrium in cheap talk games it applies when players have a preexisting common language so that an unexpected message s literal meaning is clear and only credibility restricts communication i show that certain implausible equilibria are not neologism proof in some games no equilibrium is journal of economic literature classification numbers d83 d82 c73

correlation neglect in belief formation many information structures generate correlated rather than mutually independent signals the news media being a prime example this article provides experimental evidence that many people neglect the resulting double counting problem in the updating process in consequence beliefs are too sensitive to the ubiquitous telling and re telling of stories and exhibit excessive swings we identify substantial and systematic heterogeneity in the presence of the bias and investigate the underlying mechanisms the evidence points to the paramount importance of complexity in combination with people s problems in identifying and thinking through the correlation even though most participants in principle have the computational skills that are necessary to develop rational beliefs many approach the problem in a wrong way when the environment is moderately complex thus experimentally nudging people s focus towards the correlation and the underlying independent signals has large effects on beliefs

on the value of exposure and secrecy of defense system first mover advantage vs robustness abstract it is commonly accepted in the literature that when facing with a strategic terrorist the government can be better off by manipulating the terrorist s target selection with exposing her defense levels and thus moving first however the impact of terrorist s private information may significantly affect such government s first mover advantage which has not been extensively studied in the literature to explore the impact of asymmetry in terrorist s attributes between government and terrorist on defense equilibrium we propose a model in which the government chooses between disclosure sequential game and secrecy simultaneous game of her defense system our analysis shows that the government s first mover advantage in a sequential game is considerable only when both government and terrorist share relatively similar valuation of targets in contrast we interestingly find that the government no longer benefits from the first mover advantage by exposing her defense levels when the degree of divergence between government and terrorist valuation of targets is high this is due to the robustness of defense system under secrecy in the sense that all targets should be defended in equilibrium irrespective of how the terrorist valuation of targets is different to government we identify two phenomena that lead to this result first when the terrorist holds a significantly higher valuation of targets than the government s belief the government may waste her budget in a sequential game by over investing on the high valued targets second when the terrorist holds a significantly lower valuation of targets the government may incur a higher expected damage in a sequential game because of not defending the low valued targets finally we believe that this paper provides some novel insights to homeland security resource allocation problems

overcoming coordination failure in a critical mass game strategic motives and action disclosure abstract we study whether coordination failure is more often overcome if players can disclose their actions at a lower cost in an experiment subjects first choose their action and then choose whether to disclose this action to other group members and disclosure costs are varied between treatments we find that no group overcomes coordination failure when action disclosure costs are high but half of the groups do so when the costs are low simulations with a belief learning model can predict which groups will overcome coordination failure but only if it is assumed that players are either farsighted risk seeking or pro social to distinguish between these explanations we collected additional data on individual preferences and the degree of farsightedness we find that in the low cost treatment players classified as more farsighted more often deviate from an inefficient convention and disclose this action while the effect of risk and social preferences is not significant

scissors or horizon neoclassical debates about returns to scale costs and long run supply 1926 1942 modem treatment of long run u shaped cost curves developed from reactions to sraffa s criticisms of marshall he argued that internal dis economies were incompatible with partialequilibrium analysis under perfect competition pigou concurred and drew l shaped cost curves viner realized that this made firm size indeterminate and industry output volatile using austin and joan robinson s analyses stigler justified rising costs supply determinacy and stability by irrational entrepreneurs enduring coordination failure and by factor price changes we conclude that consistency requires constant costs but firm employment output and factor incomes remain theoretically indeterminate it becomes likely that large firms will undermine perfect competition

commodity trade and international risk sharing how much do financial markets matter abstract this paper evaluates the social gains from international risk sharing in some simple general equilibrium models with output uncertainty a simulation model calibrated to selected moments of u s and japanese data estimates the incremental loss from a ban on international portfolio diversification to be on the order of 0 20 percent of output per year even the theoretical gains from asset trade may disappear under alternative sets of assumptions on preferences and technology the paper argues that the small magnitude of potential trade gains may help explain the apparently inconsistent findings of empirical studies on the degree of international capital mobility

level k mechanism design non equilibrium models of choice e g level k reasoning have significantly different sometimes more accurate predictions in games than does nash equilibrium when it comes to the maximal set of functions that are implementable in mechanism design however they turn out to have similar implications focusing on single valued rules we discuss the role and implications of different behavioural anchors arbitrary level 0 play and prove a level k revelation principle if a function is level k implementable given any level 0 play it must obey a slight weakening of standard strict incentive constraints further the same condition is also sufficient for level k implementability although the role of specific level 0 anchors is more controversial for the sufficiency argument nonetheless our results provide tight characterizations of level k implementable functions under a variety of level 0 play including truthful uniform and atomless anchors

coarse thinking and persuasion we present a model of uninformative persuasion in which individuals think coarsely they group situations into categories and apply the same model of inference to all situations within a category coarse thinking exhibits two features that persuaders take advantage of i transference whereby individuals transfer the informational content of a given message from situations in a category where it is useful to those where it is not and ii framing whereby objectively useless information influences individuals choice of category the model sheds light on uninformative advertising and product branding as well as on some otherwise anomalous evidence on mutual fund advertising

a theory of credibility this paper presents models in which one agent must decide whether to trust another whose motives are uncertain reliability can only be communicated through actions in this context it pays for people to build a reputation based on reliable behaviour someone becomes credible by consistently providing accurate and valuable information or by performing useful services the theory provides a justification for long term arrangements without binding contracts it also describes those situations where it pays an agent to cash in on his reputation many decisions depend on trusting someone consumers must decide whether to believe advertisements banks need to judge the reliability of loan applicants and employers must decide how much responsibility to delegate to their employees this paper attempts to model situations that arise when someone is uncertain about whether to trust the people he deals with in this context reputations for reliability are valuable an agent becomes credible by consistently providing accurate valuable information or by always acting responsibly i analyse a series of simple abstract models of information transmission in the basic model there are two agents the sender s and the receiver r who are to play the game a known finite number of times at each stage both players learn the value of a parameter measuring the importance of that period s play of the game that is the value of making a correct decision and s obtains payoff relevant information s then sends a signal to r who makes a decision that affects the welfare of both players after both players learn the consequences of r s decision the process repeats at each stage r must decide what action to take in order to do that he must assess the credibility of s the difficulty arises because r is uncertain about s s preferences when play begins i model this by assuming that with positive probability s has identical preferences to r s is a friend and with positive probability s has completely opposed preferences to r s is an enemy this uncertainty creates a trade off for enemy senders at each stage providing honest information enhances s s reputation but only at the expense of foregoing an opportunity for immediate gain by duping r the possibility that s is a friend lends credibility to what he says but this credibility may also be exploited by an enemy s the principal equilibrium has the following form in the basic model where s has no control over the importance of a given play s typically conveys accurate information for the first several periods r raises the probability he places on s being friendly after receiving accurate information if he believes that an enemy would have lied to him with positive probability the more important the information the more likely an enemy will attempt to deceive r an enemy will eventually take advantage of r by misleading him when this happens the sender loses all opportunities for deception in the future i

reputation and imperfect information abstract a common observation in the informal literature of economics and elsewhere is that is multistage games players may seek early in the game to acquire a reputation for being tough or benevolent or something else but this phenomenon is not observed in some formal game theoretic analyses of finite games such as selten s finitely repeated chain store game or in the finitely repeated prisoners dilemma we reexamine selten s model adding to it a small amount of imperfect or incomplete information about players payoffs and we find that this addition is sufficient to give rise to the reputation effect that one intuitively expects

convergence of incentive driven dynamics in fisher markets abstract we study out of equilibrium price dynamics in fisher markets we develop a general framework in which sellers have a a set of atomic price update rules apu which are simple responses to a price vector b a belief formation procedure that simulates actions of other sellers themselves using the apu to some finite horizon in the future sellers use an apu to respond to a price vector they generate with the belief formation procedure the framework allows sellers to have inconsistent and time varying beliefs about each other under mild and natural assumptions on the apu we show that despite the inconsistent and time varying nature of beliefs the market converges to a unique equilibrium at a linear rate distance to equilibrium decreases exponentially in time if the apu are driven by weak gross substitutes demands the equilibrium point is the same as predicted by those demands

costly predation and the distribution of competence an evolutionary game model shows how an equilibrium distribution of competence may evolve when members of a population prey on one another but when predatory competence is costly to acquire under one interpretation the competence distribution is an endogenously determined distribution of bounded rationality an example shows how tricksters and suckers might coexist in the long run the analysis leads to a curious result about a mixed equilibrium for a symmetric zero sum game an increase in the costs of one or more competence levels has exactly zero effect on the fraction of the population at those levels

pinocchio s pupil using eyetracking and pupil dilation to understand truth telling and deception in sender receiver games we conduct laboratory experiments on sender receiver games with an incentive for senders to exaggerate such as security analyst s painting a rosy picture about earnings prospects our results show that overcommunicati on messages are more informative of the true state than they should be in equilibri um is consistent with a level k model eyetracking shows that senders look much more on the payoff rows corresponding to the true state and much less at receiver payoffs than at their own payoffs senders pupils also dilate more when their deception is larger in magnitude together these data are consistent with the hypothesis that figuring out ho w to deceive another player is cognitively difficult as assumed in the level k mod el a combination of sender messages and lookup patterns predicts the true state about t wice as often as predicted by equilibrium using these measures would enable receiver subjects to hypothetically earn up to 16 21 percent more than they actually do

the genesis of positive economics and the rejection of monopolistic competition theory a methodological debate in the methodology of positive economics 1953 milton friedman linked the adoption of a falsificationist methodology to the rejection of monopolistic competition as a valid assumption thus elaborating a point made earlier by george stigler in monopolistic competition in retrospect 1949 both failed to demonstrate that the alternative assumption of perfect competition would perform better under falsificationist rules these rules themselves are an expression of the ambition to establish an economic science rather than a convincing framework for research monopolistic competition theory became the main target of attack as it highlighted the problematic nature of empirical research interested in perfectly generalizable results

taste for variety and optimum production patterns in monopolistic competition abstract many positive and normative results in models using the monopolistic competition framework of the dixit stiglitz spence type depend on the value of an important parameter the taste for variety in these models however the taste for variety is linked in a close but arbitrary manner to the degree of market power of monopolistic competitors in this paper we make a simple modification to the basic model which clearly disentangles taste for variety and market power we then show how this changes the usual comparisons between social optimum and market outcomes

cheap talk and bogus network externalities in the emerging technology market many emerging technologies exhibit path dependent demands driven by positive network feedback such network effects profoundly impact marketing strategists thinking in today s network economy however the significant network externalities expected by many people often fail to materialize in the emerging technology market we analyze this phenomenon in the context of a technology distribution channel by studying cheap talk strategies under information asymmetry we show that incentive compatible contracts are essential for achieving credible information transmission in our model the better informed technology vendor has an incentive to inflate the retailer s ex ante belief of network externalities when a wholesale price contract is adopted when properly termed revenue sharing contracts are implemented there are information efficient cheap talk equilibria where truthful information transmission is mutually beneficial when the vendor s information is imperfect even revenue sharing contracts cannot guarantee credible information transmission if there is significant prior belief disparity between the vendor and the retailer this study demonstrates how information inefficient equilibria e g information blockage arise because of the conflict of interest or the conflict of opinion among channel members it also explores the role of cheap talk in facilitating channel coordination

coordination under limited depth of reasoning this paper provides the first unified explanation of behavior in coordinated attack games under both public and private information it demonstrates that the main experimental results such as threshold strategies comparative statics and the differences in behavior under public and private information are robust predictions of limited depth of reasoning models this is in contrast to equilibrium which mispredicts the coordinating roles of public and private information the analysis has implications for understanding macroeconomic phenomena like currency attacks and debt crises which are commonly modeled using incomplete information coordinated attack games

gain loss framing in interdependent choice abstract framing influences choice however little is known about the underlying mechanisms behind framing effects we study gain loss framing in binary modified dictator games subjects choose the selfish option more often in the loss frame compared to the gain frame recording visual fixations with eye tracking we find that dictators focus more on their own outcomes when facing losses this suggests that losses to the own outcome are weighted more than losses to another player

modeling secrecy and deception in a multiple period attacker defender signaling game abstract in this paper we apply game theory to model strategies of secrecy and deception in a multiple period attacker defender resource allocation and signaling game with incomplete information at each period we allow one of the three possible types of defender signals truthful disclosure secrecy and deception we also allow two types of information updating the attacker updates his knowledge about the defender type after observing the defender s signals and also after observing the result of a contest if one occurs in any given time period our multiple period model provides insights into the balance between capital and expense for defensive investments and the effects of defender private information such as defense effectiveness target valuations and costs and also shows that defenders can achieve more cost effective security through secrecy and deception possibly lasting more than one period in a multiple period game this paper helps to fill a significant gap in the literature in particular to our knowledge no past work has studied defender secrecy and deception in a multiple period game moreover we believe that the solution approach developed and applied in this paper would prove useful in other types of multiple period games

contracts entrepreneurs market creation and judgement the contemporary mainstream theory of the firm in perspective this survey gives an overview of the theory of the firm as it is formulated within the contemporary mainstream of economics two groupings of theories are briefly discussed principal agent and incomplete contract models next three of the most recent contributions regarding firms are considered the reference point approach is looked at first followed by a discussion of spulber s book the theory of the firm last we consider the entrepreneurial judgement perspective

features of experimentally observed bounded rationality abstract on the basis of experimental evidence reported in the literature the paper draws conclusions about the bounded rationality exhibited by human economic behaviour among the topics discussed are presentation effects caused by superficial analysis strategic reasoning and strategy construction based on reciprocity and fairness avoidance of circular concepts in step by step strategic reasoning ex post rationality and learning direction theory presence of both adaptive and analytic approaches to repeated decision tasks and the absence of quantitative expectations and optimization in typical repeated game strategies

strategic sophistication and attention in games an eye tracking study abstract we used eye tracking to measure the dynamic patterns of visual information acquisition in two player normal form games participants played one shot games in which either neither or only one of the players had a dominant strategy first we performed a mixture models cluster analysis to group participants into types according to the pattern of visual information acquisition observed in a single class of games then we predicted agents choices in different classes of games and observed that patterns of visual information acquisition were game invariant our method allowed us to predict whether the decision process would lead to equilibrium choices or not and to attribute out of equilibrium responses to limited cognitive capacities or social motives our results suggest the existence of individually heterogeneous but stable patterns of visual information acquisition based on subjective levels of strategic sophistication and social preferences

peddling influence through intermediaries a sender may communicate with a decision maker through intermediaries in this model an objective sender and intermediary pass on information truthfully while biased ones favor a particular agenda but also have reputational concerns i show that the biased sender and the biased intermediary s reporting truthfulness are strategic complements the biased sender is less likely to use an intermediary than an objective sender if his reputational concerns are low but more likely to do so if his reputational concerns are moderate moreover the biased sender may be more likely to use an intermediary perceived to be more biased

heterogeneous quantal response equilibrium and cognitive hierarchies we explore an equilibrium model of games where behavior is given by logit response functions but payoff responsiveness and beliefs about others responsiveness are heterogeneous we study two substantively different ways of extending quantal response equilibrium qre to this setting 1 heterogeneus qre where players share identical correct beliefs about the distribution of payoff responsiveness and 2 truncated qre where players have downward looking beliefs systematically underestimating others responsiveness we show that the cognitive hierarchy model is a special case of truncated qre we conduct experiments designed to differentiate these approaches we find significant evidence of payoff responsive stochastic choice and of heterogeneity and downward looking beliefs in some games

backward induction normal form perfection and explicable equilibria a weakening of d kreps and r wilson s 1982 notion of sequential rationality is presented the motivation stems from the difficulty in justifying sequentially rational behavior in subgames reachable only through a violation of sequential rationality although the present notion of weak sequential rationality is based upon extensive form considerations it bears a close relation to r selten s 1975 normal form perfect equilibria backward induction outcomes can be achieved in generic games of perfect information with additional restrictions on beliefs an example with imperfect information shows that sequential rationality is not the consequence of equilibrium play and the absence of incredible threats copyright 1992 by the econometric society

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

the effect of information on product quality evidence from restaurant hygiene grade cards this study examines the effect of an increase in product quality information to consumers on e rms choices of product quality in 1998 los angeles county introduced hygiene quality grade cards to be displayed in restaurant windows we show that the grade cards cause i restaurant health inspection scores to increase ii consumer demand to become sensitive to changes in restaurants hygiene quality and iii the number of foodborne illness hospitalizations to decrease we also provide evidence that this improvement in health outcomes is not fully explained by consumers substituting from poor hygiene restaurants to good hygiene restaurants these results imply that the grade cards cause restaurants to make hygiene quality improvements

experimental evidence on the evolution of the meaning of messages in sender receiver games an experiment this paper experimentally investigates the evolution of message meanings when talk is cheap we consider communication between a privately informed sender and a receiver when the sender s message does not affect payoffs directly sender receiver games introduced by jerry green and nancy stokey 1980 and vincent p crawford and joel sobel 1982 provide the simplest stylized environment in which communication is essential communication is the only way to link the receiver s action to the sender s private information in addition sender receiver games have been widely used to study communication in accounting economics finance and political science intuition strongly suggests that effective communication will evolve when the players interests are closely aligned however there is always a nash equilibrium in which the sender randomizes uniformly across all messages such babbling equilibria are proper roger b myerson 1978 blume 1994 and even strategic stability elon kohlberg and jeanfrancois mertens 1986 does not rule out uninformative equilibria in general in response a literature developed that formulates equilibrium selection criteria by appealing to the existence of a commonly understood language matthew rabin 1990 steven a matthews et al 1991 joseph farrell 1993 that can be used to formulate credible deviations from equilibrium unfortunately the selection criteria from this literature are frequently strong enough to remove all equilibria from consideration in addition these arguments are vulnerable to stiglitz s observation in koo cho and david m kreps 1987 that successful deviations from equilibrium may induce further deviations which in turn may undermine the credibility of the original deviations both problems can be avoided by a dynamic approach as in rabin and sobel 1996 we also adopt a dynamic perspective but do not require messages to have a priori meanings instead distinct meanings may emerge endogenously this is important for communication across cultures and for language change 2 we are guided by recent results of blume department of economics university of iowa iowa city ia 52242 dejong department of accounting university of iowa iowa city ia 52242 kim department of economics sung kyun kwan university seoul 110 745 korea sprinkle department of accounting university of wisconsin madison wi 53706 we thank joyce berg vince crawford robert forsythe joel horowitz deirdre mccloskey forrest nelson larry samuelson gene savin joel sobel and especially two anonymous referees for their advice and suggestions we benefitted from comments and discussions resulting from presentations at the 1994 summer meetings of the econometric society the 1996 social learning workshop at suny stony brook the io me gt workshop at the university of iowa the university of bonn the university of bielefeld the center for economic research at tilburg university ohio state university seoul national university and texas a m university we are grateful for financial support from the college of business administration at the university of iowa the ira b mcgladrey institute and the national science foundation

cheap talk with two audiences these problems have in common a simple structure an informed sender says something to two interested but uninformed receivers who then take actions based on their beliefs these actions affect the sender as well as the receivers in this paper we study how costless nonverifiable claims cheap talk can affect these beliefs and hence the actions and how the incentives for truthful revelation to one receiver are affected by the presence of the other we then ask how welfare is affected by whether claims are made in public or in private as some of the above examples suggest public messages may be more credible than private messages addressed to either audience one possibility is that the presence of one audience can discipline the sender s relationship with the other we call this one sided

promises and conventions an approach to pre play agreements abstract i analyze how informal agreements can be sustained by moral emotions with regard to a large class of two player games specifically i assume that people feel guilty if they breach an agreement and that the guilt increases according to the degree of the harm inflicted on the other a central insight is that it is easier to sustain efficient informal agreements if actions are strategic complements than if they are strategic substitutes i complement this general insight by studying two specific cases where negotiators face uncertainty about the breach of the agreement i show that while the optimal agreement in a game with strategic substitutes must compromise on surplus maximization and efficiency the optimal agreement in a game with sufficiently strong strategic complements tends to maximize both the surplus and the probability of compliance especially if the game is symmetric

designing incentive systems for truthful forecast information sharing within a firm we consider a firm where the sales division sales is responsible for demand forecasting and the operations division operations is responsible for ordering sales has better information about the demand than operations and sends a nonbinding demand forecast to operations to incentivize truthful information sharing we include a forecast error penalty in the incentive system of sales besides monetary payoffs we also add behavioral factors to the utility function of sales we model the setting as a signaling game and derive the pareto dominant separating equilibria of the game in laboratory experiments we observe human behavior that is in line with the predictions of the behavioral model but deviates substantially from expected payoff maximizing behavior we use the behavioral model to design incentive systems for truthful information sharing and validate the approach in an experiment with out of sample treatments and out of sample subjects we conduct additional experiments to provide further robus

recombinant estimation for normal form games with applications to auctions and bargaining abstract when analyzing economic games researchers frequently estimate quantities describing group outcomes such as the expected revenue in an auction for such applications we propose an improved statistical estimation technique called recombinant estimation the technique takes observations of players strategies and recombines them to compute all possible group outcomes that could have resulted from different player combinations in applications to an auction and a bargaining game the improved efficiency of our estimator is equivalent to increasing the sample size between 25 and 200 we discuss how to design experiments in order to utilize recombinant estimation we also discuss practical computational issues and provide software for computing estimates and standard errors

costly information acquisition experimental analysis of a boundedly rational model the directed cognition model assumes that agents use partially myopic option value calculations to select their next cognitive operation the current paper tests this model by studying information acquisition in two experiments in the first experiment information acquisition has an explicit financial cost in the second experiment information acquisition is costly because time is scarce the directed cognition model successfully predicts aggregate information acquisition patterns in these experiments when the directed cognition model and the fully rational model make demonstrably different predictions the directed cognition model better matches the laboratory evidence jel d83

rewards in an experimental sender receiver game we show in a sender receiver game with strictly opposing interests that rewards enhance trust but do not influence truth telling subjects who reward tend to tell the truth and trust more often in the presence and absence of reward opportunities the amount of obtained rewards thereby enhances truth telling

deception and misreporting in a social program we investigate empirically the extent of misreporting in a poverty alleviation program in which self reported information followed by a household visit is used to determine eligibility in the model we propose and estimate underreporting may be due to a deception motive and overreporting to an embarrassment motive we find that underreporting of goods and desirable home characteristics is widespread and that overreporting is common with respect to goods linked to social status larger program benefits encourage underreporting and discourage overreporting we also estimate the costs of lying and embarrassment for different goods and show that the embarrassment cost for lacking a good is proportional to the percentage of households who own the good jel d01 i32 i38 c25

variety growth and world welfare economists since john richard hicks have known that one of the principal means if not the principal means through which countries benefit from international trade is by the expansion of varieties the seminal work of paul r krugman 1979 brought the study of varieties into sharp focus by presenting a simple generalequilibrium model in which countries gain from trade through the import of new varieties since then economists have been hampered in their ability to quantify the impact of new varieties on national welfare by the econometric and data hurdles that need to be surmounted in this paper we document some stylized facts about the growth in global varieties which suggest that there may have been substantial welfare gains through the import of new varieties moreover we calculate the impact of increased variety on import prices and find that conventional measures of import price inflation may be dramatically biased upward classical international trade theory postulates that the elimination of trade barriers improves welfare by reducing the wedge between domestic and import prices as well as the ensuing deadweight loss an entirely different reason for the gains from trade arises from models of monopolistic competition if consumers value variety and countries cannot produce all varieties due to a fixed cost in the production of each variety countries stand to gain from trade because it expands the set of available varieties in these models the gains hinge crucially on a number of parameters and variables the first is the elasticity of substitution among varieties if varieties are highly substitutable as might be true for varieties of gasoline then increasing the number of varieties is unlikely to have much of an effect on prices and welfare second quality variation across varieties may matter presumably most americans care more about having access to french red wine than to japanese red wine finally import quantities matter as ceteris paribus one cares more about variety growth in big sectors than in small sectors in broda and weinstein 2004 we carefully estimate the impact of increased variety in the united states over the period from 1972 to 2001 using the most disaggregated import data available we document that the number of varieties imported by the united states defined as the number of import categories multiplied by the average number of source countries for each category quadrupled about half of this increase was due to increases in the number of categories and half due to a doubling of the number of countries from which the united states imported each good measuring the impact of this increase on u s import prices and welfare is a complex process that we will only discuss briefly here essentially we used robert c feenstra s 1994 methodology to estimate 30 000 elasticities and then construct an aggregate price index that is robust to common changes in quality variation the arbitrary splitting of categories the introduction of new goods and a host of other data problems after reconstructing the u s import price index we found that the price of u s imports has been falling at a rate 1 2 percent per year faster than one would have thought without taking new varieties into account to get some sense of the enormity of this bias consider that the impact of quality adjustments on the consumer price index is estimated to be 0 6 percent per year using this adjusted import price index we estimate the impact of new imported varieties on broda research department federal reserve bank of new york 33 liberty street new york ny 10045 weinstein economics department columbia university 420 w 118th street new york ny 10027 and nber we thank joshua greenfield for excellent research assistance we thank robert feenstra and peter klenow for excellent comments 1 the extension of trade does not primarily imply more goods the variety of goods available is also increased with all the widening of life that that entails there can be little doubt that the main advantage that will accrue to those with whom our merchants are trading is a gain of precisely this kind this is a gain which quantitative economic history which works with index numbers of real income is ill fitted to measure or even to describe hicks 1969 p 56

consumption and real exchange rates in dynamic economies with non traded goods abstract we examine the possibility that non traded goods may account for several striking features of international macroeconomic data large persistent deviations from purchasing power parity small correlations of aggregate consumption fluctuations across countries and substantial international real interest rate differentials a dynamic exchange economy is used to show that non traded goods in principle can account for each of these phenomena in the theory there is a close relation between fluctuations in consumption ratios and those in bilateral real exchange rates but we find little evidence for this relation in time series data for eight oecd countries

differences in income elasticities and trends in real exchange rates abstract one might expect that differences in income elasticities in trade and or differences in growth rates among countries would give rise to strong secular trends in real exchange rates for example fast growing countries might need steady depreciation to get the world to accept their growing exports in fact however income elasticities are systematically related to growth rates by the 45 degree rule under which fast growing countries appear to face high income elasticities of demand for their exports while having low income elasticities of import demand the net effect of this relationship between elasticities and growth rates is that secular trends in real exchange rates are much smaller than one might otherwise have expected relative ppp holds fairly well this paper documents the existence of a 45 degree rule and suggests an explanation in terms of increasing returns and product differentiation

limited asset market participation and the consumption real exchange rate anomaly under efficient consumption risk sharing as assumed in standard international business cycle models a country s aggregate consumption rises relative to foreign consumption when the country s real exchange rate depreciates yet empirically relative consumption and the real exchange rate are essentially uncorrelated i show that this consumption real exchange rate anomaly can be explained by a simple model in which a subset of households trade in complete financial markets while the remaining households lead hand to mouth htm lives htm behavior also generates greater volatility of the real exchange rate and of net exports which likewise brings the model closer to the data

revisiting games of incomplete information with analogy based expectations this paper studies the effects of analogy based expectations in static two player games of incomplete information players are assumed to be boundedly rational in the way they forecast their opponent s state contingent strategy they bundle states into analogy classes and play best responses to their opponent s average strategy in those analogy classes we provide general properties of analogy based expectation equilibria and apply the model to a variety of well known games we characterize conditions on the analogy partitions for successful coordination in coordination games under incomplete information rubinstein a 1989 the electronic mail game strategic behavior under almost common knowledge amer econ rev 79 385 391 we show how analogy grouping of the receiver may facilitate information transmission in crawford and sobel s cheap talk games crawford v p sobel j 1982 strategic information transmission econometrica 50 1431 1451 and we show how analogy grouping may give rise to betting in zero sum betting games such as those studied to illustrate the no trade theorem

predation reputation and entry deterrence abstract economists often argue that predatory practices are irrational since there exist cheaper or more certain means to gain or maintain a monopoly our gametheoretic equilibrium analysis suggests that if a firm is threatened by several potential entrants then predation may be rational against early entrants even if it is costly when viewed in isolation because it yields a reputation which deters other entrants asymmetric information plays a crucial role in our analysis since it provides the rationale for entrants to base their expectations of the firm s future behavior on its past actions the analysis also suggests methods to treat general reputational phenomena

quantal response and nonequilibrium beliefs explain overbidding in maximum value auctions we report new experimental data on a simple common value auction to investigate the extent to which bidding can be explained by logit qre in combination with different models about bidder beliefs cursed equilibrium level k and cognitive hierarchy there is a close correspondence between the predicted bidding patterns in those models and the distribution of observed bids the pattern of median bids in the data consists of a combination of overbidding with low signals and near value bidding with higher signals logit qre with heterogeneous bidders approximates this pattern combining qre with any of the other models of belief formation leads to a closer match with the data all the estimated models predict only small treatment effects across different versions of the game consistent with the data we also reanalyze an earlier dataset for the same game ivanov et al 2010 which exhibited much more overbidding and reach similar qualitative conclusions

on demand shocks and international business cycle puzzles abstract this note studies a parsimonious dynamic stochastic general equilibrium model driven by demand shocks to explain two central puzzles in open economy macroeconomics the comovement puzzle backus et al 1992 and the backus smith puzzle backus and smith 1993 while matching a large set of domestic and international business cycle properties observed in the industrialized countries features such as non separable preferences non tradable sector or market incompleteness do not appear to be preconditions for resolving these long standing puzzles

equilibrium selection in experimental cheap talk games in the past many refinements have been proposed to select equilibria in cheap talk games usually these refinements were motivated by a discussion of how rational agents would reason in some particular cheap talk games in this paper we propose a new refinement and stability measure that is intended to predict actual behavior in a wide range of cheap talk games according to our average credible deviation criterion acdc the stability of an equilibrium is determined by the frequency and size of credible deviations acdc organizes the results from several cheap talk experiments in which behavior converges to equilibrium even in cases where other criteria do not make a prediction

consumption real exchange rates and the structure of international asset markets abstract international real business cycle irbc models that assume complete asset markets yield strong restrictions for consumption and bilateral real exchange rate series empirical tests with data for the us japan france uk italy canada and sweden suggest that neither the trend behavior nor high frequency movements of consumption and real exchange rates are well explained by irbc models with complete markets it appears however that high frequency fluctuations of consumption and real exchange rates are consistent with unrestricted international trade in risk free bonds

behaviorally optimal auction design examples and observations this paper begins to explore behavioral mechanism design replacing equilibrium by a model based on level k thinking which has strong support in experiments in representative examples we consider optimal sealed bid auctions with two symmetric bidders who have independent private values assuming that the designer knows the distribution of level k bidders we show that in a first price auction level k bidding changes the optimal reserve price and often yields expected revenue that exceeds myerson s 1981 bound and that an exotic auction that exploits bidders non equilibrium beliefs can far exceed the revenue bound we close with some general observations about level k auction design jel c72 c92

evolution in games with endogenous mistake probabilities abstract j bergin and b lipman econometrica 64 1996 943 956 show that the selection effect from the random mutations in the adaptive population dynamics in m kandori g mailath and r rob econometrica 61 1993 29 56 and p young econometrica 61 1993 57 84 is due to restrictions on how these mutation rates vary across population states we here model mutation rates as endogenously determined mistake probabilities by assuming that players with some effort can control the probability of implementing the intended strategy this is shown to corroborate the results in kandori mailath rob 1993 and under certain regularity conditions those in young 1993 journal of economic literature classification number c72

using privileged information to manipulate markets insiders gurus and credibility access to private information is shown to generate both the incentives and the ability to manipulate asset markets through strategically distorted announcements the fact that privileged information is noisy interferes with the public s attempts to learn whether such announcements are honest it allows opportunistic individuals to manipulate prices repeatedly without ever being fully found out this leads us to extend sobel s 1985 model of strategic communication to the case of noisy private signals our results show that when truthfulness is not easily verifiable restrictions on trading by insiders may be needed to preserve the integrity of information embodied in prices

unforeseen contingency and renegotiation with asymmetric information this article considers a buyer seller contracting model in which the seller possesses private information about all relevant aspects of the state of nature including how much each action is worth to the buyer i argue that given asymmetric information the buyer may not entirely dismiss an unforeseen contingency claim by the seller then if the buyer lacks the foresight awareness to expect the unexpected the model admits an equilibrium in which a seemingly complete contract is written and then renegotiated along its outcome path to generate inefficiency ex post

endogenous depth of reasoning we introduce a model of strategic thinking in games of initial response unlike standard models of strategic thinking in this framework the player s depth of reasoning is endogenously determined and it can be disentangled from his beliefs over his opponent s cognitive bound in our approach individuals act as if they follow a cost benet analysis the depth of reasoning is a function of the player s cognitive abilities and his payos the costs are exogenous and represent the game theoretical sophistication of the player the benet instead is related to the game payos behavior is in turn determined by the individual s depth of reasoning and his beliefs about the reasoning process of the opponent thus in our framework payos not only aect individual choices in the traditional sense but they also shape the cognitive process itself our model delivers testable implications on players chosen actions as incentives and opponents change we then test the model s predictions with an experiment we administer dierent treatments that vary beliefs over payos and opponents as well as beliefs over opponents beliefs the results of this experiment which are not accounted for by current models of reasoning in games strongly support our theory we also show that the predictions of our model are highly consistent both qualitatively and quantitatively with well known unresolved empirical puzzles our approach therefore serves as a novel unifying framework of strategic thinking that allows for predictions across games

new directions for modelling strategic behavior game theoretic models of communication coordination and cooperation in economic relationships author s crawford vp abstract in this paper i discuss the state of progress in applications of game theory in economics and try to identify possible future developments that are likely to yield further progress to keep the topic manageable i focus on a canonical economic problem that is inherently game theoretic that of fostering efficient coordination and cooperation in relationships with particular attention to the role of communication i begin with an overview of noncooperative game theory s principal model of behavior nash equilibrium i next discuss the alternative thinking and learning rationales for how real world actors might reach equilibrium decisions i then review how nash equilibrium has been used to model coordination communication and cooperation in relationships and discuss possible developments

communication coordination and nash equilibrium i note a methodological problem in studying the role of pre play communication in ensuring equilibrium to deal with this problem i define a solution concept for the extended game in which talk is followed by play that is intermediate between nash equilibrium and rationalizability in some games our solution concept implies a nash outcome while in others it does not

implications of rational inattention abstract a constraint that actions can depend on observations only through a communication channel with finite shannon capacity is shown to be able to play a role very similar to that of a signal extraction problem or an adjustment cost in standard control problems the resulting theory looks enough like familiar dynamic rational expectations theories to suggest that it might be useful and practical while the implications for policy are different enough to be interesting

international real business cycles we ask whether a two country real business cycle model can account simultaneously for domestic and international aspects of business cycles with this question in mind we document a number of discrepancies between theory and data the most striking discrepancy concerns the correlations of consumption and output across countries in the data outputs are generally more highly correlated across countries than consumptions in the model we see the opposite

lying for strategic advantage rational and boundedly rational misrepresentation of intentions starting from hendricks and mcafee s 2000 example of the allies decision to feint at calais and attack at normandy on d day this paper models misrepresentation of intentions to competitors or enemies allowing for the possibility of bounded strategic rationality and rational players responses to it yields a sensible account of lying via costless noiseless messages in many cases the model has generically unique pure strategy sequential equilibria in which rational players exploit boundedly rational players but are not themselves fooled in others the model has generically essentially unique mixed strategy sequential equilibria in which rational players strategies protect all players from exploitation

attention discrimination theory and field experiments with monitoring information acquisition we link two important ideas attention is scarce and lack of information about an individual drives discrimination in selection decisions our model of allocation of costly attention implies that applicants from negatively stereotyped groups face attention discrimination less attention in highly selective cherry picking markets where more attention helps applicants and more attention in lemon dropping markets where it harms them to test the prediction we integrate tools to monitor information acquisition into correspondence field experiments in both countries we study we find that unfavorable signals minority names or unemployment systematically reduce employers efforts to inspect resumes also consistent with the model in the rental housing market which is much less selective than labor markets we find landlords acquire more information about minority relative to majority applicants we discuss implications of endogenous attention for magnitude and persistence of discrimination in selection decisions returns to human capital and potentially for policy