efficient methods of measuring welfare change and compensated income in terms of ordinary demand functions a utility maximizing consumer with a completely known system of ordinary demand functions q h p c is considered let p qo and p q be two arbitrary equilibrium situations the problem is to evaluate in which of the situations the utility is higher without knowing the utility function revealed preference theory tells that the ordinary demand functions which are in principle observable contain enough information to solve the problem remaining difficulties are therefore mainly computational we present how the compensated income c i c p qo and the compensated demand h p cl1 are calculated with arbitrary accuracy using only the ordinary demand system our two efficient algorithms also have interesting interpretations in terms of index numbers and consumer surplus measures

empirical strategies for incorporating weak complementarity into consumer demand models abstract this article appraises existing empirical strategies for incorporating weak complementarity into consumer demand models the repackaging integrating back and discontinuity approaches are evaluated in terms of their behavioral implications and potential usefulness for applied research the appraisal suggests that the repackaging approach offers the most flexibility and tractability in the multi good demand system framework but the integrating back approach holds considerable promise in the single good context a multi good empirical comparison suggests that qualitatively similar policy inference arises from different repackaging approaches

implicit understandings in channels of distribution formal agreements can be used to achieve coordination among channel members these agreements work by exerting explicit control over the members who make the agreements however implicit understandings can be used as a partial substitute for more formal agreements in this paper we show that implicit understandings can develop as channel members learn about each other s behavior we show that this learning leads to the use of the implicit influence each channel member has over the other s behavior the learning leading to an implicit understanding requires some form of experimentation or historical observation this learning results in an oscillating retail price when only one channel member learns the other s behavior both channel members obtain greater profits than when neither member learns and both channel members obtain less profits than when both members learn however the member who does not learn obtains more profits than the member who learns we also show that implicit understandings r

combining contingent valuation and travel cost data for the valuation of non market goods the travel cost method tcm has long been used to infer the economic value of nonmarket resources and public goods more recently contingent valuation cvm survey methods have gained popularity for eliciting these values here cvm survey responses are combined with tcm data on actual market behavior to estimate jointly both the parameters of the underlying utility function and its corresponding ordinary demand function this is a prototypical empirical example of a new modeling strategy variants of which should prove useful in many applications especially where reliance on a single valuation method is undesirable

a diagrammatic exposition of weak complementarity and the willig condition this article provides a graphical explanation for one of the most important restrictions to utility functions used in revealed preference approaches for measuring the demand for public goods and product quality weak complementarity it also describes how the willig condition is an important element along with weak complementarity in measuring hicksian consumer surplus for changes in public goods or quality using marshallian demand curves

managing channel profits a channel of distribution consists of different channel members each having his own decision variables however each channel member s decisions do affect the other channel members profits and as a consequence actions a lack of coordination of these decisions can lead to undesirable consequences for example in the simple manufacturer retailer consumer channel uncoordinated and independent channel members decisions over margins result in a higher price paid by the consumer than if those decisions were coordinated in addition the ensuing suboptimal volume leads to lower profits for both the manufacturer and the retailer this paper explores the problems inherent in channel coordination we address the following questions what is the effect of channel coordination what causes a lack of coordination in the channel how difficult is it to achieve channel coordination what mechanisms exist which can achieve channel coordination what are the strengths and weaknesses of these mechanism what is the role of nonprice variables e g manufacturer advertising retailer shelf space in coordination does the lack of coordination affect normative implications from in store experimentation can quantity discounts be a coordination mechanism are some marketing practices actually disguised quantity discounts we review the literature and present a simple formulation illustrating the roots of the coordination problem we then derive the form of the quantity discount schedule that results in optimum channel profits this article was originally published in marketing science volume 2 issue 3 pages 239 272 in 1983

elicitation of honest preferences for the assignment of individuals to positions the problem of eliciting honest preferences from individuals who must be assigned to a set of positions is considered individuals know that they will be charged for the positions to which they are assigned a set of prices that provide no incentive for the individual to misrepresent his preferences is suggested it is shown that these prices constitute an element of the optimal solution to the dual of a linear programming assignment problem both the optimal allocation and the prices to be charged can be derived by solving two linear programming problems once preferences have been elicited the procedure can usefully be viewed as a simulation of a competitive market under conditions where such a market cannot be expected to function well it results in an efficient allocation where all resources are valued at their opportunity costs and consumer surplus is maximized its outcome thus has the desirable properties of competitive market equilibria

an algorithm for identifying fair and optimal allocations the concept of a fair and optimal allocation was recently introduced by sun and yang sun n yang z 2003 a general strategy proof fair allocation mechanism economics letters 81 73 79 this note states some basic properties of fair and optimal allocations and provides a simple algorithm for identifying them c 2007 elsevier b v all fights reserved

indirect network externality effects on product attributes indirect network externality ine effect exists when the utility of a product increases with the greater availability of compatible complementary products we demonstrate that ine effects can vary by product attributes with externality sensitive attributes gaining more from increased availability of complementary products than other attributes past research has assumed that the benefit of increased availability of complementary products e g software accrues to theentireproduct e g hardware utilizing data covering a period from 1985 to 1995 on compact disc player prices attributes and cd titles releases and using a hedonic price approach we find significant positive interactions between cd title availability and two attributes of the cd player namely changer capacity and its oversampling rate in addition to ine attribute interactions increased availability of cd titles is found to have a significant positive impact on the overall price of cd players which is consistent with past research collectively these effects of ine have helped reduce the yearly decline in the price of cd players the finding that ine effects differentially affect different attributes can help managers in decisions such as pricing timing of introduction and changing the levels of ine sensitive attributes

strategic decentralization in channels the purpose of this paper is to understand the effect of strategic interaction on a manufacturer s channel structure decision in the model i analyze if there were no strategic interaction then the manufacturer would prefer vertical integration to decentralization with strategic interaction however decentralization can be a nash equilibrium strategy as mcguire and staein mcguire timothy richard staelin 1983a an industry equilibrium analysis of downstream vertical integration marketing sci 2spring 161 192 showed so the question arises what is it about strategic interaction that makes decentralization a nash equilibrium strategy the answer i give is that strategic interaction makes it possible for a manufacturer s retail demand curve to rise when he decentralizes i show that this raising of the demand curve on decentralization can happen only if one of the following mutually exclusive conditions is satisfied 1 the manufacturers products are demand substitutes at the retail level and strategic complements at the manufacturer or retailer levels 2 the manufacturer s products are demand complements at the retail level and strategic substitutes at the manufacturer or retailer levels strategic complementarity at the retailer manufacturer level means that if one retailer manufacturer raises his price then the other retailer manufacturer would raise his price as well strategic substitutability is just the opposite these results show that what is important for decentralization to occur is not how demand substitutable the two manufacturers products are as one might have thought from earlier works in the literature but rather the nature of coupling between demand dependence and strategic dependence

large indivisibles an analysis with respect to price equilibrium and fairness an exchange economy is considered in which there are a finite number of individuals the same number of indivisibles and a fixed amount of a divisible good each individual consumes exactly one of the indivisibles and a certain quantity of the divisible good the existence of prices corresponding to pareto efficient allocations is proved it is also shown that this economy possesses fair allocations income fair allocations coalition fair allocations and pareto efficient egalitarian equivalent allocations in this study the effect of including large indivisibles in an exchange economy will be analyzed the analysis will be carried out with respect to the existence of price equilibrium and with respect to the existence of different forms of fairness the economy consists of a finite number of individuals the same number of indivisibles and a fixed amount of a divisible good it is assumed that each individual consumes exactly one of the indivisibles and some quantity of the divisible good we may interpret the indivisibles as being professions or houses the relationship between price equilibrium and a pareto efficient allocation is well known and proved in a number of cases under different assumptions about preferences and commodities for a standard economy see e g debreu 5 in case of nonconvexities which may also describe a certain type of indivisibility we may have an exact relationship in economies with a continuum of individuals see e g hildenbrand 11 but otherwise an approximate relationship obtains the degree of approximation depends on the degree of nonconvexities in preferences and not on the number of individuals see e g arrow and hahn 1 we will prove the existence of prices characterizing a pareto efficient allocation in a case where the indivisibles play an essential role and where approximate results would be too approximate the indivisibles may be considered large for the individual compared to his total consumption the theory of fairness has developed considerably during the seventies different kinds of concepts of fairness have been introduced and analyzed see daniel 41 foley 81 pazner and schmeidler 121 and schmeidler and vind 141 among others normally these authors have considered models with divisible goods or an infinite number of individuals for exchange economies the existence of fair allocations an envy free and pareto efficient allocation has been proved in

estimation and welfare analysis with large demand systems we develop an approach for estimating individual or household level preferences for a large set of quality differentiated goods and for constructing hicksian welfare measures within the demand system framework our approach uses a maximum simulated likelihood procedure to recover estimates of the structural parameters and a multistage monte carlo markov chain algorithm for constructing hicksian consumer surplus estimates we illustrate our approach with a recreation dataset consisting of day trips to 62 mid atlantic beaches

transferring ownership of public housing to existing tenants a market design approach this paper explores a housing market with an existing tenant in each house and where the existing tenants initially rent their houses the idea is to identify equilibrium prices for the housing market given the prerequisite that a tenant can buy any house on the housing market including the one that he is currently possessing or continue renting the house he is currently occupying the main contribution is the identification of an individually rational equilibrium selecting and group non manipulable price mechanism in a restricted preference domain that contains almost all preference profiles in this restricted domain the identified mechanism is the minimum price equilibrium selecting mechanism that transfers the maximum number of ownerships to the existing tenants we also relate the theoretical model and the main findings to the u k housing act 1980 whose main objective is to transfer ownerships of houses to existing tenants

individual team incentives and managing competitive balance in sports leagues an empirical analysis of major league baseball abstract major league baseball and other professional sports leagues have long been concerned with competitive imbalances caused by differences in local revenues the fear is that in the absence of salary caps or other regulatory mechanisms smaller market teams will be unable to remain competitive this research uses a structural dynamic programming model to analyze ownership s payroll investment decisions this model estimates the relationship between optimal payrolls and local market populations and the influence of long term customer equity dynamics on payroll investments in addition the author analyzes the impact of a recent policy intervention that implemented revenue transfers from high local revenue markets to low local revenue markets the statistical results indicate that market population has a significant impact on the value of a team s payroll investments for example optimal payrolls double as the population increases from 2 5 million to 7 5 million furthermore rather than improving com

adoption transfers and incentives in a franchise network with positive externalities we study franchise arrangements that allow franchisees with exclusive territories to own their customers this permits franchisees to benefit from positive externalities in the franchise network through interfranchise transfers based on the purchases by their customers at other franchises on the network using the structure of a single franchisor and many franchisees we show that in general interfranchise transfers between franchisees and incentives for franchisee investment in the expansion of their customer base are critical both to the size and to the benefits derived from the franchise network specifically we find that when individual franchisees make investments in marketing effort to increase their customer base the franchisor s setting of the interfranchise transfer trades off the positive effects on network size with the negative effects of removing franchisee incentive for investment this result is due to the fact that interfranchise transfers encourage adoption but discourage full investment in marketing effort as compared to first best franchisee investment use of the royalty and the inter franchise transfer directly dissipates franchisee profits and indirectly dissipates franchisee profits through less than universal adoption thereby causing franchisees to underinvest as compared to traditional franchise systems however use of the interfranchise transfer results in franchises making greater investments than they otherwise would

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

exact consumer s surplus and deadweight loss consumer s surplus is a widely used tool in applied welfare economics both economic theorists and cost benefit analysis often use consumer s surplus despite its somewhat dubious reputation the basic idea is to evaluate the value to a consumer or his willingness to pay for a change in price of a good from say pricep to pricep because price changes affect consumer welfare an evaluation of this effect is often a key input to public policy decisions yet consumer s surplus is probably the most controversial of widely used economic concepts both paul samuelson and ian little conclude that the economics profession would be better off without it it is my feeling of the situation that substantial agreement exists on the correct quantities to be measured the amount the consumer would pay or would need to be paid to be just as well off after the price change as he was before the price change the quantities correspond to john hicks compensating variation measures an alternative measure which takes ex post price change utility as the basis of comparison is hicks equivalent variation the controversy arises in the measurement of these quantities the usual measurement procedure is to use the area to the left of the marshallian market demand curve between two price levels jules dupuit originated this measure of welfare change and alfred marshall and hicks derived appropriate conditions for its use the primary condition for the area to the left of the demand curve to correspond to the compensating variation is to have constant marginal utility of income marshall gave this condition and if it holds the same quantity will be derived as the area to the left of the compensated hicksian demand curve this area to the left of the compensated demand curve is exactly what the compensating variation and equivalent variation measure thus the constant marginal utility of income is a sufficient condition for marshallian consumer s surplus to be equal to hicks consumer s surplus in this case arnold harberger s plea to use the welfare triangle as one half times the product of the price change times the quantity change to measure deadweight loss corresponds to the correct theoretical amount of welfare change in a recent paper robert willig derives bounds for the percentage difference between the correct measure of either the compensating or equivalent variation and the marshallian measure derived form the market demand curve his bounds which depend on the income elasticity of demand for the single good in the region of price change being considered as well as the proportion of the consumer s income spent on the good demonstrate that the marshallian consumer s surplus is often a good approximation to hicks consumer s surplus the fact that the proportion of the consumer s income spent matters as well as the income elasticity was first pointed out by harold hotelling willig contends that the approximation error will be less than the errors involved in estimating the demand curve thus he hopes to remove the need for apology that applied economists often need to give to theorists who remark on the inappropriateness of using marshallian consumer s surplus to measure welfare change however in this paper i show that for the case primarily considered by willig of a single price change which is also the situation in which consumer s surplus is often used in applied work no approximation is necessary professor of economics massachusetts institute of technology and research associate national bureau of economic research i would like to thank peter diamond erwin diewert daniel mcfadden robert merton robert solow hal varian joel yellin and the referees for help and comments research support from the national science foundation is acknowledged the reason that we still have two rather than one of samuelson s six measures of consumer s surplus arises from an index number problem of the correct basis for the welfare comparison i will give both measures but plan to concentrate on the compensating variation

options using a collective lottery to ration vaccines during an influenza pandemic for many countries the best way to counter an influenza pandemic is to provide citizens with a pandemic vaccine however since the global supply of the vaccines is far smaller than the quantity demanded how to allocate the limited vaccines can be a very challenging task for them in this study we introduce a collective lottery mechanism that allocates vaccines as fairly as the traditional lottery while also offering more options for family members or those who are close so that they can choose the joint probability of successes that can maximize their welfare this mechanism thus gives rise to a pareto improvement over the traditional lottery our empirical study uses the us and the uk as examples in sequential collective lotteries that are simulated to prove that such an improvement while maintaining fairness in fact exists

on measuring the value of a nonmarket good using market data we use line integral theory to lay out in a more general theoretical framework the conditions under which it is possible to measure with market data the welfare effects of a change in a nonmarket good we present in detail a numerical method of measuring the value of nonmarket goods using market data under either weak neutrality or weak complementarity our numerical method is more flexible than the existing analytical method because it can be used with any well behaved marshallian demand function and can be used even when the willig condition does not hold

an empirical look at franchising as an organizational form franchise contracts are identified as a hybrid form of economic organization motives for the dominance of franchise arrangements are identified by examining the theoretical literature on franchising and related literatures on the theory of the firm firm growth managerial and employee selection a nd brand name capital empirical tests are performed on the incidence of franchise contracts across states for three industries in which f ranchising is prominent and data are readily available the results s uggest that both principal agent incentives and informational incenti ves favor the use of franchise arrangements copyright 1988 by the university of chicago

information technology and organization design locating decisions and information we study the impact of information technology it on the profitability of individual organization designs and on the relative profitability of different organization designs we develop models where organization design is defined by the location of investment decision authority we consider global and local investment when there is an information asymmetry between a central authority and decentralized nodes decentralized nodes make better local investment decisions because of their local knowledge we define three separate organization designs a hierarchy where all investments are made by a central authority a market where all investments are made by the decentralized nodes and a mixed mode where global investments are made by a central authority and local investments are made by decentralized nodes because of complementarities between global and local investment we show that there is under investment relative to first best in all three organization designs we also find that it can be used to mitigate that underinvestment either by bringing information to the decision maker or by redesigning the monitoring and incentive structure we demonstrate that it does not necessarily favor decentralized organization designs and we show how the costs of coordination may resultin the mixed mode being dominated by one or both of the alternative organization designs thus collocation of investment decision rights and information that results in decisions that require coordination might not be optimal when the costs of not synchronizing global and local investment are high

weak complementarity path independence and the intuition of the willig condition abstract weak complementarity is usually invoked for valuing public goods using information on private goods however using uncompensated demands requires a second condition the willig condition this paper present an intuitive explanation of the willig condition and shows that the alternative versions are equivalent to a path independence condition for line integrals this condition is fulfilled for compensated demands but not uncompensated demands except in restrictive special cases it is shown that this is a type of quasi homotheticity and requires that the income flexibility of quality must equal the income elasticity of the weak complement the importance and restrictiveness of the willig condition are shown using three alternative functional forms

a competitive partnership formation process a group of heterogeneous agents may form partnerships in pairs all single agents as well as all partnerships generate values if two agents choose to cooperate they need to specify how to split their joint value among one another in equilibrium which may or may not exist no agents have incentives to break up any existing partnerships or form new partnerships this paper proposes a dynamic competitive adjustment process that always either finds an equilibrium or exclusively disproves the existence of any equilibrium in finitely many steps when an equilibrium exists partnership and revenue distribution will be automatically and endogenously determined by the process moreover several fundamental properties of the equilibrium solution and the model are derived

the choice of organizational form the case of franchising abstract we examine companies that franchise some units and centrally operate own others the agency problems confronting these two organizational forms are analyzed testable hypotheses are developed the empirical results support the notion that owning versus franchising reflects a trade off among agency related problems the cost of monitoring store managers appears to be especially important in the own franchise decision the level of repeat business and initial investment requirements per unit also appear to be important

a general strategy proof fair allocation mechanism abstract this paper studies a general problem of efficiently and fairly allocating n indivisible objects like jobs or houses with a certain amount of money to n persons with a requirement that each person be assigned with one object the precise preferences of individuals over both the objects and money are unknown and manipulable but assumed to follow some general patterns to ensure the existence of a fair allocation a mechanism is developed that elicits honest preferences over both the objects and money and that assigns the objects with some money to individuals efficiently and fairly

an economic theory of vertical restraints vertical restraints imposed by manufacturers on the prices locations and sales of retail firms represent a puzzling departure from the simple price mediated exchange of conventional markets in this article we analyze the theoretical basis for these restraints in a setting where retailers inform consumers and are imperfectly competitive and where a manufacturer has some monopoly power we identify three potential externalities affecting retailers decisions these externalities lead to the failure of simple uniform price contracts to coordinate the incentives of retailers with the objective of maximizing combined manufacturer and retailer profits we identify the packages of vertical restraints that are minimally sufficient under various conditions to neutralize the externalities and to achieve the joint profit maximum

no envy and consistency in economies with indivisible goods we consider the problem of fair allocation in economies with indivisible goods our main objective is to identify appealing subsolutions of the no envy solution we formulate desirable properties of solutions and look for solutions satisfying them given an allocation chosen by a solution for some economy and given a subgroup of the agents consider the problem of fairly distributing among its members the resources that this group has collectively received the solution is consistent if it recommends that the same bundle be attributed to each of these agents as initially we show that there is no proper subsolution of the no envy solution that satisfies consistency however many subsolutions satisfy bilateral consistency or the converse of consistency but again there is no proper subsolution satisfying these two properties together

implementable mechanisms to coordinate horizontal alliances unprecedented changes in the economics of interaction mainly as a result of advances in information and telecommunication technologies such as the internet are causing a shift toward more networked forms of organizations such as horizontal alliances that is alliances among firms in similar businesses that have positive externalities between them because the success of such horizontal alliances depends crucially on aligning individual alliance member incentives with those of the alliance as a whole it is important to find coordination mechanisms that achieve this alignment and are simple to implement in this paper we examine two simple coordination mechanisms for a horizontal alliance characterized by the following features i firms in the alliance can exert effort only in their local markets to increase customer demand for the alliance ii customers are mobile and a customer living in a given alliance member s local area may have a need to buy from some other alliance member and iii the coordination rules followed by the alliance determine which firms from a large pool of potential member firms join the alliance and how much effort each firm joining the alliance exerts in its local market in this horizontal alliance setup we consider the use of two coordination mechanisms i a linear transfer of fees between members if demand from one member s local customer is served by another member and ii ownership of an equal share of the alliance profits generated from a royalty on each member s sales we derive conditions on the distribution of demand externalities among alliance members to determine when each coordination mechanism should be used separately and when the mechanisms should be used together

competition and cooperation in marketing channel choice theory and application this paper discusses the problem of choosing a vertical marketing channel in a product differentiated duopolistic market firms choose product price and the form of the marketing channel to maximize profits it is shown that integration of the marketing function results in greater price competition and lower prices than does the use of independent marketing middlemen the profitability of reducing price competition by using such middlemen is investigated two hypotheses that integration is negatively associated with the products substitutability and that symmetric channel structures are stable are tested in a preliminary way and supported with survey data from the international semiconductor industry

fair allocation of indivisible goods and criteria of justice a set of n objects and an amount m of money is to be distributed among m people example the objects are tasks and the money is compensation from a fixed budget an elementary argument via constrained optimization shows that for m sufficiently large the set of efficient envy free allocations is nonempty and has a nice structure in particular various criteria of justice lead to unique best fair allocations that are well behaved with respect to changes of m this is in sharp contrast to the usual fair division theory with divisible goods

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