asymmetry and revenue in first price auctions abstract we show by an example that in first price ipv auctions asymmetry in bidders valuations need not reduce the revenue compared to a benchmark symmetric model with the same amount of social surplus asymmetry need not reduce competition in first price auctions

spectrum auction designs and revenue variations this study examines a sample of 93 national 3g spectrum auctions for the period 2000 2011 to identify the sources of substantial revenue variations an implied reduced form econometric model that recognises the censored nature of the sample relates per capita winning bid per mhz per million populations values to regulator determined auction design characteristics auction competitiveness mobile wireless market conditions and spectrum package attributes identified from tender documents the analysis reveals that among other factors all auction design characteristics independently impact on realized 3g spectrum auction revenues

on the existence of pure strategy monotone equilibria in asymmetric first price auctions we establish the existence of pure strategy equilibria in monotone bidding functions in first price auctions with asymmetric bidders interdependent values and affiliated one dimensional signals by extending a monotonicity result due to milgrom and weber 1982 we show that single crossing can fail only when ties occur at winning bids or when bids are individually irrational we avoid these problems by considering limits of ever finer finite bid sets such that no two bidders have a common serious bid and by recalling that single crossing is needed only at individually rational bids two examples suggest that our results cannot be extended to multidimensional signals or to second price auctions

mergers in symmetric and asymmetric noncooperative auction markets the effects on prices and efficiency abstract united states antitrust merger analysis has recently focused on simulating the unilateral effects of mergers we develop a model to simulate the unilateral price increase from a merger in an auction market we illustrate our results in the context of hospital mergers in the u s and calibrate our simulations to known market parameters we compare the price increases in our model to those suggested by analytically simpler models the simulation results suggest that the unilateral price increases predicted by our model are modest in general we also simulate the merger cost savings that are needed to offset the price effects

asymmetric private values auctions with application to joint bidding and mergers abstract much of the theoretical auction literature assumes that there are no observable differences between the bidders of an auction in this paper i present an asymmetric auction model where the distribution of a bidder s value depends on some commonly observed characteristics the model is applied to joint bidding and mergers in auction markets the results provide additional evidence that first price auctions are less susceptible to the acquisition and exercise of market power than open auctions

investment incentives in procurement auctions this paper investigates firms incentives to invest in cost reduction in the first price sealed bid auction a format largely used for procurement two central features of the model are that we allow firms to be heterogeneous and that investment is observable we find that firms will tend to underinvest in cost reduction because they anticipate fiercer head on competition using the second price auction as a benchmark we also find that the first price auction will elicit less investment from market participants and that this is socially inefficient these results have implications for market design when investment is important different market institutions provide different incentives for firms to reduce costs acquire information expand and so on in short to undertake any activity that affects their competitive positions accordingly the performance of these market institutions should be judged not only from a static perspective taking firms competitive positions as given but also from a dynamic perspective auction markets are a natural competitive environment to study because there is a clear sense in which we can design such markets by choosing appropriate rules for competition in this paper we study how the first price auction fpa a format commonly used for procurement affects firms incentives to invest in cost reduction many procurement markets are characterized by a small number of participants heterogeneity among firms and low rates of turnover therefore it is interesting to investigate to what extent the format used for the auction contributes to these characteristics the basic ingredients of our model are as follows there are n firms and one of them has the opportunity prior to the auction to make an investment we model this investment as an improvement in the ex ante distribution of costs for this firm the main question we ask is what are the firm s incentives to invest given that this investment is observed by its competitors clearly the benefits of such investment depend on how the firm s competitors react in other words to determine the firm s incentive to invest we need to compare the equilibrium at the procurement stage if it makes this investment and if it does not in section 3 we derive new comparative statics results for the fpa we find that after the investment the investor s opponents will bid collectively more aggressively this result holds generally when there are only two bidders or when the investor s opponents are symmetric proposition 1 otherwise a sufficient condition is that investment changes market leadership proposition 2 in the language of industrial organization investment has a negative strategic effect in the fpa this erodes 1

a theory of interlinked rural transactions this paper argues that the interlinking of labor output and credit contracts often observed in rural economies can be regarded as an attempt to improve allocative efficiency in the face of moral hazard it advances an economic explanation of the phenomenon which is rooted in the view that prevalent modes of transaction of which interlinked contracts are an example are shaped by technological considerations interlinking is shown to be an efficient economic response to unequally distributed information arising from the uncertainty which characterizes subsistence agriculture all pareto efficient allocations require a combination of wage cum output sharing with consumption credit contracts the analytical framework set up to demonstrate the results is used to examine the response of the contractual parameters to changes in i the returns to alternative occupations available to tenant laborers ii the cost of credit to the village economy and iii the riskiness of cultivation the analysis concludes that public policy to alleviate rural poverty must recognize the relationships between technological considerations and modes of transaction in the absence of a complete set of markets

collusion in second price auctions with heterogeneous bidders abstract we show that efficient collusion by any subset of bidders in second price private value auctions is possible even when the bidders are heterogeneous an important property of efficient collusion is that a bidder s net payoff from participating in collusion is independent of her valuation we show that the cooperative game whose characteristic function evaluated at a coalition is the ex ante collusive surplus of that coalition has a nonempty core a feature of more technical interest is the mechanism characterization when the private information of agents does not enter in a linear or even piecewise linear manner

a study of collusion in first price auctions this paper examines the bidding for school milk contracts in florida and texas during the 1980s in both states firms were convicted of bid rigging the data and legal evidence suggest that the cartels in the two states allocate contracts in different ways one cartel divides the market among members while the other cartel also uses side payments to compensate members for refraining from bidding we show that both forms of cartel agreements are almost optimal provided the number of contracts is sufficiently large in the auction the cartel bidder may face competition from non cartel bidders the presence of an optimal cartel induces an asymmetry in the auction the selected cartel bidder is bidding as a representative of a group and has on average a lower cost than a non cartel bidder the data support the predicted equilibrium bidding behaviour in asymmetric auctions in accordance with optimal cartels

collusive bidder behavior at single object second price and english auctions models of collusive bidder behavior at single object second price and english auctions are provided the ind ependent private values model is generalized to permit the formulatio n of coalitions and a strategic response by the auctioneer cooperati ve strategies are found to be dominant in these models coalitions of any size are viable and the payoff to each member increases with th e size of the coalition in addition the collusive strategies of the coalition represent a noncooperative equilibrium the optimal respon se of the auctioneer is to establish a reserve price that is a functi on of the coalition s size these and other features of the model are found to be consistent with the essential features of actual behavio r copyright 1987 by university of chicago press

econometrics of ascending auctions by quantile regression this paper suggests an identification and estimation approach based on quantile regression to recover the underlying distribution of bidders private values in ascending auctions under the ipv paradigm the quantile regression approach provides a flexible and convenient parameterization of the private values distribution with an estimation methodology easy to implement and with several specification tests the quantile framework provides a new focus on the quantile level of the private values distribution in particular the seller s optimal screening level which can be very useful for bidders and seller an empirical application using data from the usfs timber auctions illustrates the methodology

a point decision for partially identified auction models this article proposes a decision theoretic method to choose a single reserve price for partially identified auction models such as haile and tamer 2003 using data on transaction prices from english auctions the article employs gilboa and schmeidler 1989 for inference that is robust with respect to the prior over unidentified parameters it is optimal to interpret the transaction price as the highest value and maximize the posterior mean of the seller s revenue the monte carlo study shows substantial gains relative to the revenues corresponding to a random point and the midpoint in the haile and tamer interval

optimal bidding in auctions from a game theory perspective abstract the game theoretic perspective in auction bidding has provided a powerful normative framework for the analysis of auctions and it has generated an impressive volume of research contributions tracing this research we review key recent advances which have greatly expanded our understanding of the operation of auctions and produced a more accurate analysis of mechanism design and optimal bidding we follow various experimental studies which have shown that the predictive power of auction theory remains in many cases limited for this reason we concentrate on research themes which enhance the applicability of auction theory leading to more realistic descriptions of bidding behaviors we identify important innovations which expand the environment of auction bidding and carry us beyond rational decision making we conclude providing directions of future research and discussing their implications

agency theory and franchising some empirical results this article provides an empirical assessment of various agency theoretic explanations for franchising including risk sharing one sided moral hazard and two sided moral hazard the empirical models use proxies for factors such as risk moral hazard and franchisors need for capital to explain both franchisors decisions about the terms of their contracts royalty rates and up front franchise fees and the extent to which they use franchising in this article i exploit several new sources of data on franchising to construct a cross section of 548 franchisors involved in various business activities in the united states in 1986 the data are most consistent with a model based on two sided moral hazard the empirical models are also more successful at explaining the extent to which franchisors choose to franchise stores than at explaining the terms of franchise contracts finally contrary to the predictions of several theoretical models i find that royalty rates and franchise fees are not negatively related

the effect of bidders asymmetries on expected revenue in auctions abstract bidders asymmetries are widespread in auction markets yet their impact on behavior and ultimately revenue and profits is still not well understood this paper defines a natural benchmark auction environment to which to compare any private values auction with asymmetrically distributed valuations the main result is that the expected revenue from the benchmark auction dominates that from the asymmetric auction both in the first price auction and the second price auction moreover for classes of distributions that lend themselves to a quasi ordering of more or less asymmetric configurations we prove that the expected revenue is lower the more asymmetric bidders are these results formalize the idea that competition is reduced by bidders asymmetries applications to merger analysis joint bidding and investment are discussed

are disadvanteged bidders doomed in ascending auctions a bidder is said to be advantaged if she has a higher expected valuation of the auction prize than her competitor when the prize has a common value component a bidder competing in an ascending auction against an advantaged competitor bids especially cautiously and hence the advantaged bidder wins most of the time however contrary to what is often argued a disadvantaged bidder still wins with positive probability even if his competitor s advantage is very large and even if the disadvantaged bidder has the lowest actual valuation ex post therefore the disadvantaged bidder has an incentive to participate in the auction and the presence of a bidder with a small advantage does not have a dramatic effect on the seller s revenue

asymmetric budget constraints in a first price auction abstract i solve a first price auction for two bidders with asymmetric budget distributions and known valuations for one object i show that in any equilibrium the expected utilities and bid distributions of both bidders are unique if budgets are sufficiently low the bidders will bid their entire budget in any equilibrium for sufficiently high budgets mass points in the equilibrium strategies arise a less restrictive budget distribution could make both bidders strictly worse off if the budget distribution of one bidder is dominated by the budget distribution of the other bidder in the reverse hazard rate order the weaker bidder will bid more aggressively than the stronger bidder in contrast to existing results for symmetric budget distributions with asymmetric budget distributions a second price auction can yield a strictly higher revenue than a first price auction under an additional assumption i derive the unique equilibrium utilities and bid distributions of both bidders in an all pay auction

uniqueness of equilibrium in sealed high bid auctions abstract for the case of two buyers we show that equilibrium in the sealed high bid auction is unique when i buyers reservations prices are drawn independently from distributions with finite support and positive mass at the lower endpoint ii buyers have private values and iii buyers preferences are log supermodular for more than two buyers we obtain the same result under the additional assumptions that iv buyers with the same reservation price have the same preferences v buyers are risk neutral or risk averse with non increasing absolute risk aversion and vi the supports of the different buyers distributions of reservation prices have the same upper endpoint

asymmetric first price auctions abstract a new approach to asymmetric first price auctions is proposed which circumvents the need to examine bidding strategies directly specifically the ratio of bidders endogenous payoffs is analyzed and compared to the ratio of the exogenous distribution functions that describe beliefs most of the results are inferred from this comparison in the existing theoretical literature assumptions of first order stochastic dominance or stronger imply that the latter ratio has very specific properties but no such assumptions are imposed here it is proven that first order stochastic dominance is necessary for bidding strategies not to cross when this assumption is relaxed in the numerical literature it is done in a manner that leads to exactly one crossing however it is straightforward to construct examples with several crossings finally bid distributions will cross in auctions with two bidders whenever second order but not first order stochastic dominance applies

numerical analysis of asymmetric first price auctions abstract we propose numerical algorithms for solving first price auction problems where bidders draw independent valuations from heterogeneous distributions the heterogeneity analyzed in this work is what might naturally emerge when subsets of distributionally homogeneous bidders collude bid functions and expected revenues are calculated for two special cases extensions to more general asymmetric first price auctions are discussed journal of economic literature classification numbers d44 c63 c72 d82

optimal bidding in auctions of mixed populations of bidders abstract a mixed population of bidders consists of two asymmetric groups members of the first group are game theoretic players who maximize their expected profit and incorrectly believe that their opponents act similarly the second group of bidders adopts an irrational strategy they either choose their bids randomly following a given probability distribution in a naive form of bidding or follow a decision theoretic approach maximizing their expected profit under the assumption that all other bids are random in a sealed bid private value procurement auction we examine the optimal strategy of a new player who has perfect knowledge of the structure of the mixed bidder population and enters the auction the optimal bid of the new bidder is derived when the cost and mark up follow a uniform distribution in 0 1 the effect of the relative size of the group of game theoretic bidders and the population size on the optimal bid price is established

improving channel coordination through franchising in this paper we explore the role of franchising arrangements in improving coordination between channel members in particular we focus on two elements of the franchising contract namely the royalty structure and the monitoring technology we begin with a simple analysis where a manufacturer distributes its product through a retailer and the retail demand is affected by the retail price and the service provided by the retailer in this context we show that neither royalty payments nor monitoring are needed for full coordination we then extend the model to allow for free riding by franchisees and show that although monitoring helps affect the behavior of the franchisees royalty payments are still unnecessary to coordinate the activities of the franchisor and the franchisees finally we show that in environments where factors affecting retail sales are controlled by both the franchisor and the franchisee royalty payments provide the necessary incentives for the franchisor while monitoring systems are used to ensure that franchisees also behave in the best interest of the channel our general results are found to be consistent with those in brickley and dark 1987 and norton 1988 who conclude that franchising is affected by principal agent problems our theory finds special support in the work of lafontaine 1988 where it is concluded that the incidence of franchising is related to cost of monitoring and the importance of franchisor investments

equilibrium in sealed high bid auctions there is a voluminous theoretical literature on sealed high bid auctions auctions in which bids are sealed and the high bidder pays his bid see for example vickrey 1961 myerson 1981 riley and samuelson 1981 milgrom and weber 1982 matthews 1983 maskin and riley 1984 holt 1980 cox smith and walker 1988 a critical property on which this literature relies is the existence of equilibrium in which buyers bidding strategies are monotonic in their types this enables the analyst to perform comparative statics as the distribution of types changes and to compare the welfare properties of the high bid auction with those of other auction institutions one case in which the existence of monotonic equilibrium is readily established is that in which buyers types are distributed smoothly independently and symmetrically in this case there exists a symmetric equilibrium one in which all bidders share the same bidding behaviour as a function of their valuations and this bid function is the solution to a first order differential equation

the effect of bidder heterogeneity on combinatorial conservation auction designs in an iterative combinatorial auction bidders can submit bids on individual and or on combinations of projects in a series of intermediate rounds where bid prices are revised before a final allocation is made the iterative format is useful for conservation service procurement as landholders can rely on market information revealed through the rounds to evaluate their choices of projects and bid prices however there is no single way of providing the market information different designs for generating price information have been proposed little is known about the performance of iterative combinatorial auction designs when heterogeneous bidders with different cost structures participate in an auction using an agent based model we evaluate a selected set of designs under different bidder heterogeneity scenarios we observe that higher degrees of heterogeneity lead to lower auction efficiency and that auction outcomes are highly sensitive to price feedback design choices

double moral hazard and resale price maintenance incentives for resale price maintenance rpm are studied in a wholesaler retailer relationship in which both firms make a nonprice choice subject to moral hazard the best attainable contract has vertical externalities in both nonprice choices and the choice of consumers price if delegated to the retailer rpm controls the latter externality but interacts with the other externalities as well as a consequence either minimum or maximum vertical price fixing can be optimal in spite of a successive monopoly specification similar incentives exist for writing other variables into contract such as the capital input of the retailer

endogenous asymmetry in a dynamic procurement auction we show how to numerically solve for a markov perfect equilibrium of a dynamic auction game where a procurer repeatedly purchases construction services from capacity constrained firms we find that the procurer is best off scheduling frequent auctions for small project sizes otherwise firm capacity utilization rates become larger and more asymmetric which softens competition and increases procurement costs we also find that forward looking bidding dampens the competition softening effects of asymmetry farsighted firms compete more intensely than myopic ones this can undermine the goal of a bid preference style affirmative action program more farsighted firms respond less to the asymmetry induced via bid preferences

the moral hazard of budget breaking it has recently been suggested in the agency literature that moral hazard in teams can be dealt with by introducing a third party who breaks the budget balancing constraint and that this facilitates the design of contracts that can sustain the pareto optimum as a perfect nash equilibrium this note offers an explanation for why the use of budget breaking schemes is not so widespread as that of active monitoring despite the fact that such schemes would save the resources expended on supervision the note demonstrates that allowing the budget to be broken introduces the potential for moral hazard on the part of the third party which could render the proposed equilibrium incredible

asymmetry in procurement auctions evidence from snow removal contracts differences in cost efficiency and productivity across firms may introduce asymmetries in procure ment auctions relying on a structural approach this article investigates potential asymmetry among firms bidding for snow removal contracts in montrthe empirical results show that firms located in close proximity have a cost advantage relative to other firms in the most urbanised part of montrbecause of prohibitive equipment storage costs the extent of inefficiency due to asym metry is empirically assessed various policy experiments are performed a bidding preference policy shows that the city could expect to reduce its costs for allocating snow removal contracts when bidders willingness to pay depends in part on observable variables the princi pal s interest is not best served by creating a level auction playing field this article studies procurement auctions for snow removal contracts in montrit investigates the degree to which companies in disadvantageous locations should win even if they do not submit the lowest bid from the submitted bids a novel empirical methodology estimates the extent of cost variation across firms along with its variation within loca tion although the dispersion is substantial the gain from treating bidders unequally is limited when observed individual characteristics affect the firms costs and their bidding strategies all bidders cannot be treated alike these differences in characteristics or asymmetries among bidders may arise from their size as noted by laffont et al 1995 their capacity constraints as in jofre bonet and pesendorfer 2003 or the possession of better information as in hendricks and porter 1988 and hendricks et al 1994

entry and r d in procurement contracting abstract a model of competitive procurement and contracting is presented in this paper the key features of the model include precontract r d an endogenous number of homogeneous firms and sealed bid auction rules both diminishing and constant returns to scale drs and crs in r d expenditure technologies are considered i find that the sealed bid first price auction fpa is equivalent to the second price auction spa under drs technology the revenue equivalence theorems breaks down under crs because multiple equilibria arise in the r d stage when spa is used howerer spa yields a unique perfect equilibrium given sufficient heterogeneity among potential firms the free entry perfect equilibrium is also characterized the buyer prefers free entry through an appropriate selection of the reservation price

product warranties and double moral hazard this article explores a model of warranties in which moral hazard problems play a key role the goal is to understand the important characteristics of warranties including their provision of incomplete insurance and the relationship between product quality and coverage we analyze a model in which buyers and sellers take actions that affect a product s performance since these actions are not cooperatively determined an incentives problem arises we characterize the optimal warranty contract and undertake comparative statics to determine the predicted correlation of warranty coverage and product quality

sharecropping and the interlinking of agrarian markets one of the often noted features of less developed agrarian economies is the existence of interlinkages among the land labor credit and product markets the landlord is often the supplier of credit he frequently purchases and markets the output of the tenant farmers and often sells raw materials and even consumption goods to his tenant farmers how can this phenomenon be explained what are the welfare consequences of attempts to restrict these practices which often seem to constitute restraints on free trade these are the questions to which this paper is addressed a general set of arguments applicable to both competitive and noncompetitive environments are presented to situations where all the terms of the contract are determined in an optimal way as well as to situations where many of the terms are specified institutionally section i examines interlinked credit and tenancy contracts section ii examines interlinked marketing and tenancy contracts section iii points out the possible interlinking between labor contracts and consumption goods markets and section iv presents the different equilibrium frameworks discussed in the paper such as monopoly monopsony competition and equilibria with surplus labor

first price auctions in the asymmetric n bidder case i consider the first price auction when the bidders valuations may be differently distributed i show that every bayesian equilibrium is an essentially pure equilibrium formed by bid functions whose inverses are solutions of a system of differential equations with boundary conditions i then prove the existence of an equilibrium i prove its uniqueness when the valuation distributions have a mass point at the lower extremity of the support i give sufficient conditions for uniqueness when every valuation distribution is one of two atomless distributions i establish inequalities between equilibrium strategies when relations of stochastic dominance exist between valuation distributions

competition in the economic crisis analysis of procurement auctions we study the effects of the recent economic crisis on firms bidding behavior and markups in sealed bid auctions using data from austrian construction procurements we estimate bidders construction costs within a private value auction model we find that markups of all bids submitted decrease by 1 5 percentage points in the recent economic crisis markups of winning bids decrease by 3 3 percentage points we also find that without the government stimulus package this decrease would have been larger these two pieces of evidence point to pro cyclical markups

causal relationships among economic aggregates in china using china s macro data from 1952 to 1989 the stationarity and causality tests to two types of economic aggregates are applied the first type relates to the conventional money income and consumption relationship and the other is associated with the interest rate money and investment income relationship as embodied in a financial repression model stationarity test results show that a different direction of causality exists when different measurement of price is used a causal relationship between interest rate money and investment income is also found

the economics of franchise contracts as an organizational arrangement the franchise contract lies between anonymous price mediated exchange and centralized intrafirm employment in contrast to conventional market exchange franchise contracts typically impose on franchisees retail quality standards common hours of business price controls and nonlinear payment schedules for example fixed initial royalty fees plus a percentage of gross retail revenues while franchisors typically provide national advertising and training programs monitor and inspect the franchisees performance with varying intensity across industries and hold the residual power to terminate the franchise agreement observations of actual terminations indicate that franchisors sometimes exclude this power franchisors sometimes face persistent queues of potential franchisees in contrast to simple employment contracts franchise agreements provide for sharing of profits through royalties on revenue or output and considerable freedom for independent decisions by local franchisees 1 why do these franchise contracts exist