endogenous entry and self selection in private value auctions an experimental study this paper presents the results of an experimental study of endogenous entry in first price independent private value auctions n potential bidders simultaneously decide whether to participate in an auction or receive a known outside option in the second stage entrants submit bids after learning their own private values and the number of entrants an equilibrium model of heterogeneous risk averse bidders implies a self selection effect where bidding in the auction is lower with endogenous entry because only less risk averse bidders enter this effect is confirmed by the experiment we also observe excessive entry relative to the theoretical model

individual behavior and bidding heterogeneity in sealed bid auctions where the number of bidders is unknown i introduction most of the work in sealed bid auction theory and related experimental work has focused on the case in which the number of bidders is known this is of course not always the case in naturally occurring environments for instance construction firms submitting bids in a sealed bid procurement auction may not know exactly how many other firms have completed the costly process of preparing and submitting a bid until bidding has closed there is a body of theory to address environments with an unknown number of bidders mcafee and mcmillan 1987 matthews 1987 harstad kagel and levin 1990 krishna 2002 1 the purpose of this article is to provide theoretical considerations and analysis of a large data set of individual bids from laboratory sealed bid auction markets in which buyers have some information about the number of rivals but not certainty 2 according to the received theory the availability of information about the number of rivals as expected directly affects bidding and therefore seller revenue in first price fp auctions but should not affect bidding in the second price sp auctions although bidding own valuation is optimal in sp auctions regardless of the number of bidders the majority of previous experimental work on auctions with known number of bidders has shown systematic deviation kagel 1995 while a few studies report coincidence with theory see isaac and james 2000b for an extended discussion earlier work on fp auctions with known number of bidders indicated systematic overbidding compared to risk neutral equilibrium risk aversion has been suggested as one of the possible explanations for observed overbidding cox roberson and smith 1982 dyer kagel and levin 1989 is the only previous experimental study looking at individual bidding in auctions where the number of bidders is unknown and their design is different from this study they look at fp auctions with restricted auction size of either six or three participants and ask subjects to submit three bids two bids for contingent bidding procedure and one bid for noncontingent bidding procedure subjects submit all three bids simultaneously and do not know at the time which procedure will be used they find overbidding in this environment compared to risk neutral nash equilibrium although we test for deviation from risk neutral bidding strategy in a more general setting our study also addresses a broader set of questions previous studies of open bid ascending silent auctions suggested that there may have been revenue loss to the sellers by bidders guarding their higher valued items that is remaining physically proximate to the bidding stations isaac and schnier 2005 the possibility that guarding was at the root of the revenue reductions was investigated by isaac and schnier 2006 who replaced the open bid ascending silent auctions with both fp and sp sealed bid auctions which is the environment studied in this article their paper reported on the aggregate revenue effects of the switch to sealed bid auctions but did not look at individual behavior it is clear that such analysis of individual bidding behavior must be informed by theories of bidding with an unknown number of rivals because such is the reality facing bidders in a multiple sealed bid silent auction context in addition data from a noncomputerized experiment closely approximating field auctions allows the analysis of possible behavioral adjustments in the field for example the attempt to guard the item and count the number of bidders such an analysis is presented in this article 3 our analysis of fp auctions contributes to the discussion about the causes of heterogeneous deviation of individual bidding from risk neutral theory cox roberson and smith 1982 and cox smith and walker 1988 reported heterogeneous bidding above risk neutral equilibrium in fp auctions for mechanisms with fixed number of bidders and palfrey and pevnitskaya 2008 for auctions with endogenous entry where the number of bidders was known at the time of submitting a bid

asymmetric bidding in second price common value auctions abstract two comparative static characterizations for common value auctions under second price rules are extended to heterogeneous bidders the willingness to pay of the two highest bidders is enhanced on average by the release of public information and best responses are less aggressive when facing more rival bidders

market structure and the intraday pattern of bid ask spreads for nasdaq securities this article examines the intraday pattern of bid ask spreads among nasdaq stocks we find that spreads are relatively stable throughout the day but narrow significantly near the close this contrasts with the u shaped pattern for nyse stocks reported by brock and kleidon and mcinish and wood we attribute these divergent patterns to structural differences between specialist and dealer markets the wider spreads for nyse stocks near periods of market closure may reflect the market power of specialists the decline in spreads near the close for nasdaq stocks is consistent with inventory control by individual dealers copyright 1995 by university of chicago press

equilibrium in auctions with entry the authors model entry incentives in auctions with risk neutral bidders and characterize a symmetric equilibrium in which the number of entrants is stochastic the presence of too many potential bidders raises coordination costs that detract from welfare the authors show that the seller and society can benefit from policies that reduce market thickness i e the relative abundance of buyers their analysis extends well known revenue equivalence and ranking theorems but also demonstrates that variations in the auction environment affect optimal policies e g reservation prices in ways not anticipated by models that ignore entry copyright 1994 by american economic association

revenue management with forward looking buyers a seller wishes to sell multiple goods by a deadline for example the end of a season potential buyers enter over time and can strategically time their purchases each period the profit maximizing mechanism awards units to the buyers with the highest valuations exceeding a sequence of cutoffs we show that these cutoffs are deterministic depending only on the inventory and time remaining in the continuous time limit the optimal mechanism can be implemented by posting anonymous prices when incoming demand decreases over time the optimal cutoffs satisfy a one period look ahead property and prices are defined by an intuitive differential equation

information effects in uniform price multi unit dutch auctions we design a multi unit descending price dutch auction mechanism that has applications for resource allocation and pricing problems we address specific auction design choices by theoretically and experimentally determining optimal information disclosure along two dimensions bidders are either informed of the number of bidders in the auction or know that it is one of two possible sizes they also either know the number of units remaining for sale or are unaware of how many units have been taken by other bidders we find that revealing group size decreases bids and therefore revenue if units remaining are not shown when group size is unknown the price also falls if the number of units remaining is revealed the most efficient and largest revenue outcome occurs when bidders are not provided information on either group size or units remaining these laboratory results conform to some directional predictions from our theory although overbidding is common

search and collusion in electronic markets we examine the impact of reduced search costs on prices of commodity products in electronic marketplaces conventionally reduced consumer search costs may be expected to engender stronger price competition between firms resulting in lower prices and improved consumer welfare this notion was formalized in stahl 1989 oligopolistic pricing with sequential consumer search american economic review vol 79 no 4 pp 700 712 in a model of static firm competition in this paper we show that these standard welfare conclusions may be neutralized or reversed in a dynamic environment we focus on self enforcing collusion by firms and characterize the conditions under which collusive equilibria exist we show that less costly consumer search can facilitate firms abilities to collude resulting in higher prices and reduced consumer welfare even with imperfect or no monitoring by sellers of each other s prices if the same technology that eases consumer search also allows firms to monitor each other s prices more easily then firms can more easily detect cheating on a collusive price arrangement allowing an even greater scope for collusion this raises antitrust concerns with respect to the electronic marketplace and suggests that at least some of the anticipated competitive gains from electronic market systems may be difficult to realize

auctions with a stochastic number of bidders abstract auction theory is generalized by allowing the number of bidders to be stochastic in a first price sealed bid auction with bidders having constant absolute risk aversion the expected selling price is higher when the bidders do not know how many other bidders there are than when they do know this thus the seller should conceal the number of bidders if he can moreover a bidder s ex ante expected utility is the same whether or not there is a policy of concealing the number of bidders concealment therefore pareto dominates announcement with risk neutral bidders the optimal auction is the same whether or not the bidders know who their competitors are

bid rigging and the threat of government prosecution in this article i develop a simple bidding model in which collusion is endogenous buyers at a first price sealed bid auction decide whether to rig their bids given that they face the threat of government prosecution a legal authority chooses whether to investigate the buyers on the basis of the bids tendered in the unique sequential equilibrium of the game buyers rig their bids with positive probability but the legal authority can never ascertain on the basis of the bids alone that a conspiracy has formed

optimal auctioning and ordering in an infinite horizon inventory pricing system we consider a joint inventory pricing problem in which buyers act strategically and bid for units of a firm s product over an infinite horizon the number of bidders in each period as well as the individual bidders valuations are random but stationary over time there is a holding cost for inventory and a unit cost for ordering more stock from an outside supplier backordering is not allowed the firm must decide how to conduct its auctions and how to replenish its stock over time to maximize its profits we show that the optimal auction and replenishment policy for this problem is quite simple consisting of running a standard first price or second price auction with a fixed reserve price in each period and following an order up to basestock policy for replenishing inventory at the end of each period moreover the optimal basestock level can be easily computed we then compare this optimal basestock reserve price auction policy to a traditional basestock list price policy we prove that in the limiting case of one buyer per period and in the limiting case of a large number of buyers per period and linear holding cost list pricing is optimal list pricing also becomes optimal as the holding cost tends to zero numerical comparisons confirm these theoretical results and show that auctions provide significant benefits when 1 the number of buyers is moderate 2 holding costs are high or 3 there is high variability in the number of buyers per period

economic insights from internet auctions this paper surveys recent studies of internet auctions four main areas of research are summarized first we survey several studies that document and attempt to explain the frequently observed sniping or last second bidding behavior in these auctions second we summarize several methods proposed to quantify the distortions caused by asymmetric information in these markets most notably due to the winner s curse third we explore research about the role of reputation mechanisms installed to help combat these distortions finally we discuss what internet auctions have to teach us about auction design

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

policy watch did nasdaq market makers implicitly collude this paper chronicles the research that led to the conclusion that nasdaq marketmakers implicitly colluded to maintain supracompetitive spreads christie and schultz 1994 the paper provides a brief description of the differences between a dealer and an auction market and highlights the result that nasdaq marketmakers quoted a majority of large issues exclusively in even eighths the paper then provides a personalized description of the events that soon followed including the publicity surrounding the article the ensuing antitrust investigation by the department of justice and the abandonment of these agreements once the practice was disclosed

auctions an introduction abstract this is a detailed introduction to auction theory it begins with a simple analysis of standard auctions and then uses a strikingly simple general solution of symmetric private values auctions to prove the payoff equivalence of many auction rules the basic framework is then modified to admit risk aversion multi unit and repeated auctions as well as collusion then follows an introduction to optimal auctions with and without stochastic entry and to common value auctions and the winner s curse problem the survey closes with a sample of applications from the regulation of natural monopolies to price competition in oligopoly and the government securities market

revenue ranking of discriminatory and uniform auctions with an unknown number of bidders an important managerial question is the choice of the pricing rule we study whether this choice depends on the uncertainty about the number of participating bidders by comparing expected revenues under discriminatory and uniform pricing within an auction model with affiliated values stochastic number of bidders and linear bidding strategies we show that if uncertainty about the number of bidders is substantial then the discriminatory pricing generates higher expected revenues than the uniform pricing in particular the first price auction might generate higher revenues than the second price auction therefore uncertainty about the number of bidders is an important factor to consider when choosing the pricing rule we also study whether eliminating this uncertainty i e revealing the number of bidders is in the seller s interests and discuss the existence of an increasing symmetric equilibrium

optimal cartel pricing in the presence of an antitrust authority the dynamic behavior of a price fixing cartel is explored when it is concerned about creating suspicions that a cartel has formed consistent with preceding static theories the cartel s steady state price is decreasing in the damage multiple and the probability of detection however contrary to those theories it is independent of the level of fixed fines it is also shown that the cartel prices higher when a more competitive benchmark price is used in calculating damages

alternative common value auction procedures revenue comparisons with free entry the logic of revenue comparisons for different types of common value auctions is substantially altered if the number of participants rather than being fixed responds endogenously to the expected profitability from participating in a thoroughly symmetric model a seller may prefer that competition be indirect an auction procedure in which fewer participants are needed to drive the expected profitability from participating down to the level obtainable in other auctions in the economy can attain higher expected revenue if a sale is sufficiently likely this insight allows a complete revenue ranking of standard auction procedures with endogenous entry

efficiency of large private value auctions we consider discriminatory and uniform price auctions for multiple identical units of a good players have private values possibly asymmetrically distributed and for multiple units our setting allows for aggregate uncertainty about demand and supply in this setting equlibria generally will be inefficient despite this we show that such auctions become arbitrarily close to efficient if they are large and use this to derive an asymptotic characterization of revenue and bidding behavior

entry and competition effects in first price auctions theory and evidence from procurement auctions motivated by several interesting features of the highway mowing auction data from the texas department of transportation tdot we study three competing procurement auction models with endogenous entry our entry and bidding models provide several interesting implications for the first time we show that even within an independent private value paradigm as the number of potential bidders increases bidders equilibrium bidding behaviour can become less aggressive and the expected procurement cost may rise because the entry effect is always positive and may dominate the negative competition effect we then develop structural models of entry and bidding corresponding to the three models under consideration controlling for unobserved auction heterogeneity and use the recently developed semi parametric bayesian estimation method to analyse the data we select the model that best fits the data and use the corresponding structural estimates to quantify the entry effect and the competition effect with regard to the individual bids and the procurement cost copyright 2009 wiley blackwell

monopoly with incomplete information recent theoretical research on principal agent relationships has emphasized incentive problems that arise when the parties involved are constrained by either asymmetric information or their inability to monitor each other s actions here we concentrate on the former constraint and consider the case of a single principal the monopolist the main contribution is to show that under a separability assumption strong conclusions can be drawn about the nature of optimal incentive schemes although the primary focus is on optimal quantity discounts in a monopolized market the results also shed light on related topics such as optimal income taxation and commodity bundling

disclosure policy in tullock contests with asymmetric stochastic entry we examine how disclosure policy can be optimally designed to incentivize contestants when their participation is exogenously stochastic in a generalized tullock contest setting with two players who are asymmetric in both their values and entry probabilities we fully characterize the necessary and sufficient conditions under which no disclosure dominates full disclosure we find that the comparison depends solely on a balance effect exercised by entry probabilities on the expected total effort the optimal disclosure policy must better balance the competition these conditions continue to hold when the precision r of tullock contests is endogenously chosen by the designer

equilibria in first price auctions with participation costs this paper characterizes the equilibria of first price auctions with participation costs in the independent private values environment bidders use cutoff strategies to decide whether they will participate in the auction it is shown that when bidders are homogeneous there always exists a unique symmetric equilibrium and further there is no other equilibrium when valuation distribution functions are inelastic when distribution functions are elastic at the symmetric equilibrium there exists an asymmetric equilibrium inelasticity elasticity includes concavity convexity of distribution functions as a special case we find similar results when bidders are heterogeneous

auctions with uncertain numbers of bidders abstract we investigate bidders and seller s responses to ambiguity about the number of bidders in the first price auction fpa and the second price auction spa with independent private valuations we model ambiguity aversion using the maxmin expected utility model we find that bidders prefer the number of bidders to be revealed in the fpa are indifferent between revealing and concealing in the spa and prefer the spa to the fpa if bidders are more pessimistic than the seller then the seller prefers to conceal the number of bidders in the fpa and prefers the fpa to the spa

disclosure policies in research contests with stochastic entry abstract this paper models research contests as an all pay auction with stochastic entry and analyzes the effect of disclosing the actual number of participants on the expected winning bid i find that the classic disclosure irrelevance principle on expected revenue does not extend to the ranking on expected winning bid the ranking on expected winning bid crucially depends on the number of potential bidders participation probabilities and the distribution of bidders valuations when there are more than two potential bidders fully concealing the actual number of participants elicits a higher expected winning bid if potential bidders have low participation probabilities whereas the rank reverses if bidders have high participation probabilities and high chances of being high types

collusion in procurement auctions an experimental examination bart j wilson i introduction questioning the value of efforts to enforce federal anticonspiracy laws raises spirited debate among antitrust economists although everyone recognizes the welfare costs of successful conspiracies commentators such as armentano 1990 and cohen and scheffman 1989 argue that conspiratorial arrangements are pervasively ineffective and thus that social resources spent prosecuting cob lusion are wasted others including marvel et al 1988 express more ambivalence about the seriousness of conspiracies as a social problem but believe that the government manages to detect only the most ineffective arrangements still other economists clearly believe in the effectiveness of current government efforts see e g werden 1989 and froeb et al 1993 ultimately the pervasiveness of conspiratorial behavior and the magnitude of the consequent damages are empirical issues however the illegality of collusion complicates the collection of relevant data tip offs or complaints frequently expose conspiracies but good reasons exist for suspecting that conspiracies detected in this fashion tend to be the least profitable a conspirator likely rats on co conspirators only if he or she is disenchanted with the scheme suggesting that the conspiracy is about to collapse anyway similarly suspect are conspiracies that are sufficiently clumsy to raise the protests of buyers the detection problem would be vastly simplified if conspiracies could be identified in the absence of a smoking gun posner 1969 argues that such explicit evidence of conspiratorial behavior is unnecessary because conspiring firms exhibit identifiable patterns of activity that are alone sufficient to determine illegality kuhlman 1969 and gallo 1977 go still further and advocate the continuous computerized monitoring of pricing and sales data to detect conspiracies however as marshall and muerer 1998 observe a potentially condemning defect of any attempt to detect collusion via behavior is that depending on underlying conditions virtually any suspect pattern of behavior can be generated as a noncollusive nash equilibrium identical prices for example are often cited as an indication of coordinated activity e g mund 1960 1 but in games such as the one modeled by anton and yao 1992 agents submit identical bids in a nash equilibrium in the absence of collusion furthermore some evidence from collusion cases prosecuted by the department of justice suggests that identical prices are rarely part of collusive arrangements except when the industry is not very concentrated comanor and schankerman 1976 market rotations a second pricing scheme that is typically cited as a suspect pattern may also be consistent with a subgame perfect noncooperative nash equilibrium zona 1986 for example identifies a number of approximate equilibria involving contract rotations when sellers have steeply increasing cost structures also lang and rosenthal 1991 characterize a noncooperative static equilibrium for a multiproduct contracting environment where sellers both divide the market and submit noncompetitively high bids in the market where they do not expect to win 2 still other pricing patterns are possibly suspect porter and zona 1993 report evidence of bid rigging in procurement auctions from the pattern of losing bids the intuition is that in a competitive environment bids should be correlated with costs when prices are fixed however this correlation breaks down this article reports a laboratory experiment designed to explore the relationship between suspect behavior and collusion we focus on coordinated behavior in procurement auctions a context where collusion is often suspected and has been frequently observed 4 two environments are examined a set cost regime that contains some features critical to standard government procurement auctions for goods and an endogenous cost regime which exhibits some critical elements of procurement bidding for construction contracts

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

unraveling in first price auction abstract in a private values first price auction with random number of bidders the auctioneer has to decide whether to announce or not the actual number of bidders if the auctioneer cannot commit to any particular announcement policy then he would like to reveal when the number of bidders is high in order to increase bidding competition by the same logic the auctioneer should like to conceal if the number turns out to be small when bidders types are independent full revelation by the auctioneer is shown to be a unique equilibrium with skeptical belief as the unique equilibrium belief

auctions with a random number of identical bidders abstract we examine and compare the normally mixed symmetric equilibrium bidding strategies in first price and all pay common value multiple item auctions with a random number of bidders who only seek one of the identical items and have the same budget

bid preference programs and participation in highway procurement auctions we use data from highway procurement auctions subject to california s small business preference program to study the effect of bid preferences on auction outcomes our analysis is based on an estimated model of firms bidding and participation decisions which allows us to evaluate the effects of current and alternative policy designs we show that incorporating participation responses significantly alters the assessment of preferential treatment policies

walras retrouve decentralized trading mechanisms and the competitive price we extend the standard analysis of decentralized markets to allow for the possibility that traders interact simultaneously with more than one trader on the opposite side of the market in contrast with the literature we reconcile the walrasian equilibrium with the outcome of decentralized strategic trade we show that there exist generic matching technologies that determine local market conditions such that as market frictions vanish the equilibrium price is the one that would result in the static walrasian market our analysis highlights the importance of local market conditions for the determination of equilibrium prices

a simple model of price dispersion abstract this article considers a simple stock flow matching model with fully informed market participants unlike the standard matching literature prices are assumed to be set ex ante when sellers pre commit themselves to sell their products at an advertised price the unique equilibrium is characterized by price dispersion due to the idiosyncratic match payoffs in a marketplace with full information this provides new insights into the price dispersion literature which instead commonly assumes that buyers are not perfectly informed and engage in a costly search

not knowing the competition evidence and implications for auction design in a government auction program where first price auctions generate significantly higher revenue than english auctions i document evidence that bidders are uncertain about the number of auction entrants motivated by additional data evidence i estimate a structural model of auctions in which rivals participation is stochastic allowing for bidders risk aversion and asymmetry counterfactual simulations reveal that bidders uncertainty about the number of entrants combined with risk aversion substantially softens the revenue impact of low competition in first price auctions this explains the observed revenue patterns and uncovers an empirically important reason for sellers to favor first price auctions over english auctions

cartel pricing dynamics in the presence of an antitrust authority cartel pricing is characterized when firms are concerned about creating suspicions that a cartel has formed balancing concerns about maintaining the stability of the cartel with those of avoiding detection the cartel may either i gradually raise price to its steady state level or ii gradually raise price and then have it decline to its steady state level antitrust laws may have a perverse effect as they make cartel stability easier and thus allow for higher cartel prices

cartel pricing dynamics with cost variability and endogenous buyer detection this paper characterizes collusive pricing patterns when buyers may detect the presence of a cartel buyers are assumed to become suspicious when observed prices are anomalous we find that the cartel price path is comprised of two phases during the transitional phase price is generally rising and relatively unresponsive to cost shocks during the stationary phase price responds to cost but is much less sensitive than under non collusion or simple monopoly the length of the transition phase is decreasing in the variance of cost shocks it is also shown that the cartel price path may overshoot its long run level so that price converges from above

equilibrium transformations and the revenue equivalence theorem i develop a method that transforms an equilibrium strategy profile from one auction to another the method is constructive and does not require complicated computation this provides a new approach to revenue equivalence and extends the theorem to domains where it had not previously been known in particular to simultaneous multiple object auctions with complete information and to auction environments having correlated private values and common values

tacit collusion in repeated auctions uniform versus discriminatory within an infinitely repeated game i compare the level and conduct of collusion under uniform and discriminatory auctions for this purpose i characterize the optimal collusive schemes and sets of sustainable profits under these auction formats i show that uniform auctions facilitate collusion more than discriminatory auctions the optimal penal code is equally severe under the two formats but bidders deviation incentives are weaker in uniform auctions given that the payoff irrelevant bids can be used to relax the enforcement problem this discussion is particularly relevant after the recent reforms in the electricity industry in england wales and elsewhere

equilibrium labor turnover firm growth and unemployment this paper considers equilibrium quit turnover in a frictional labor market with costly hiring by firms where large firms employ many workers and face both aggregate and firm specific productivity shocks there is exogenous firm turnover as new small startups enter the market over time while some existing firms fail and exit individual firm growth rates are disperse and evolve stochastically the paper highlights how dynamic monopsony where firms trade off lower wages against higher endogenous employee quit rates yields excessive job to job quits such quits directly crowd out the reemployment prospects of the unemployed with finite firm productivity states stochastic equilibrium is fully tractable and can be computed using standard numerical techniques

resolving uncertainty about the number of bidders in independent private value auctions an experimental analysis results from first price sealed bid auctions in which there is uncertainty regarding the number of bidders are reported consistent with recent theoretical findings concealing information regarding the number of bidders raises more revenue for the seller than revealing information individual bids show that 1 narrowly interpreted the nash equilibrium bidding theory underlying these theoretical predictions is rejected as less than 50 of all bids satisfy the strict inequality requirements of the theory but 2 a majority of the deviations from these inequality requirements favor the revenue raising predictions of the nash model and in a large number of cases involve marginal violations of the theory

contests with an unknown number of contestants this paper studies rent seeking contests where the contestants do not know the number of actively competing contestants two models are compared in the first all players are risk neutral in the second all have constant absolute risk aversion if the expected fraction of active contestants is low an increase in the number of potential contestants increases individual rent seeking efforts this effect is in contrast to the complete information case where individual rent seeking efforts decrease in the number of contestants the effect is more likely under risk neutrality but also possible under risk aversion equilibrium rent seeking efforts are lower under risk aversion if and only if the expected fraction of active contestants is low

strategic information revelation in fundraising abstract we consider a model of voluntary contributions for a public project with random number of potential contributors the fundraiser who observes this number has to decide whether to reveal or suppress the information before contributions are given the fundraiser s objective is to collect maximal contributions we show that whether the public project is convex or non convex can be the key to the fundraiser s announcement decision in the convex case this number is always revealed in the non convex case the number may not be revealed at all or sometimes revealed only when it is in an intermediate range in the presence of multiple equilibria total contributions increase with the extent of concealment

identification of standard auction models this paper presents new identification results for models of first price second price ascending english and descending dutch auctions we consider a general specification of the latent demand and information structure nesting both private values and common values models and allowing correlated types as well as ex ante asymmetry we address identification of a series of nested models and derive testable restrictions enabling discrimination between models on the basis of observed data the simplest model symmetric independent private values is nonparametrically identified even if only the transaction price from each auction is observed for richer models identification and testable restrictions may be obtained when additional information of one or more of the following types is available i the identity of the winning bidder or other bidders ii one or more bids in addition to the transaction price iii exogenous variation in the number of bidders iv bidder specific covariates while many private values pv models are nonparametrically identified and testable with commonly available data identification of common values cv models requires stringent assumptions nonetheless the pv model can be tested against the cv alternative even when neither model is identified

design of discrete dutch auctions with consideration of time abstract as a departure from much of the existing literature that aims at maximizing the expected revenue from a single auction this research work is concerned with the design of discrete dutch auctions to achieve the optimal balance between the selling price of the object and the auction duration so that the auctioneer s expected revenue per unit of time is as high as possible the new objective is especially important in trading perishable products or services when multiple auctions are to be conducted by the auctioneer for different sellers during a limited period of time our findings indicate that the proposed discrete dutch auction models generate higher average revenues per unit of time for the auctioneer than their counterparts without consideration of time this is achieved by reducing the duration of each auction in exchange for more auctions to be held within the given time frame so that the small decrease in the revenues from the longer auctions is more than compensated for by the large increase in the total revenues from the shorter auctions the numerical results show that the proposed discrete dutch auction design becomes extremely useful when the number of bidders becomes large it is also shown that complete knowledge about the number of bidders in the auction results in a higher auctioneer s expected revenue per unit of time

rfq auctions with supplier qualification screening we consider a manufacturer using a request for quotes rfq reverse auction in combination with supplier qualification screening to determine which qualified supplier will be awarded a contract supplier qualification screening is costly for the manufacturer for example involving reference checks financial audits and on site visits the manufacturer seeks to minimize its total procurement costs i e the contract payment plus qualification costs although suppliers can be qualified prior to the auction prequalification we allow the manufacturer to delay all or part of the qualification until after the auction postqualification using an optimal mechanism analysis we analytically explore the trade offs between varying levels of pre and postqualification although using postqualification causes the expected contract payment to increase bids from unqualified suppliers are discarded we find that standard industrial practices of prequalification can be improved upon by judicious use of postqualification particularly when supplier qualification screening is moderately expensive relative to the value of the contract to the manufacturer

a smart market for industrial procurement with capacity constraints we address the problem of designing multi item procurement auctions for a monopsonistic buyer in capacity constrained environments using insights from classical auction theory we construct an optimization based auction mechanism smart market relying on the dynamic resolution of a linear program minimizing the buyer s cost under the suppliers capacity constraints suppliers can modify their offers in response to the optimal allocation corresponding to each set of bids giving rise to a dynamic competitive bidding process to assist suppliers we also develop a bidding suggestion device based on a myopic best response mbr calculation that solves an associated optimization problem assuming linear costs for the suppliers we study within a game theoretic framework the sequence of bids arising in this smart market under a weak behavioral assumption and some symmetry requirements an explicit upper bound for the winning bids is established we then formulate a complete behavioral model and solution methodology based on the mbr rationale and show that the bounds derived earlier continue to hold we analytically derive some structural and convergence properties of the mbr dynamics in the simplest nontrivial market environment which suggests further possible design improvements and investigate bidding dynamics and incentive compatibility issues via numerical simulations