recursive equilibria in dynamic economies with stochastic production in this paper we prove the existence of recursive equilibria in stochastic production economies with infinitely lived agents and incomplete financial markets we consider a general dynamic model with several commodities which encompasses heterogeneous agent versions of both the lucas asset pricing model and the stochastic neo classical growth model as special cases our main assumption is that there are atomless shocks to fundamentals that have a purely transitory component and a component that does not depend on last period s shocks directly

an n person pure bargaining game abstract we propose an n person pure bargaining game which generalizes rubinstein s two person bargaining game and show that there exists a unique perfect equilibrium outcome the solution approaches the n person nash solution as defined by chae the n person nash bargaining solution with time preference econ lett 41 1993 21 24 in the time preference framework as the time lapse between bargaining rounds goes to 0 journal of economic literature classification number c78

bilateral bargaining with externalities this paper provides an analysis of a non cooperative pairwise bargaining game between agents in a network we establish that there exists an equilibrium that generates a coalitional bargaining division of the reduced surplus that arises as a result of externalities between agents that is we provide a non cooperative justification for a cooperative division of a non cooperative surplus the resulting division is related to the myerson shapley value with properties that are particularly useful and tractable in applications we demonstrate this by examining buyer seller networks and vertical foreclosure

the role of firm size in bilateral bargaining a study of the cable television industry we examine the effect of buyer merger on bilateral negotiations between a supplier and n buyers merger may have bargaining effects in addition to the usual efficiency effects the effect of merger on the buyers bargaining position depends on the curvature of the supplier s gross surplus function merger enhances worsens the buyers bargaining position if the function is concave convex based on a panel of advertising revenue in the cable television industry our estimates indicate that the gross surplus function for suppliers of program services is convex this result suggests that cable operators integrate horizontally to realize efficiency gains rather than to enhance their bargaining position vis a vis program suppliers

do health plans risk select an audit study on germany s social health insurance abstract this paper evaluates whether health plans in germany s social health insurance select on an easily observable predictor of risk geography to identify plan behavior separately from concurrent demand side adverse selection i implement a double blind audit study in which plans are contacted by fictitious applicants from different locations i find that plans are less likely to respond and follow up with applicants from higher cost regions such as west germany the results suggest that supply side selection may emerge even in heavily regulated insurance markets the prospect of risk selection by firms has implications for studies of demand side selection and regulatory policy in these settings

the formation of networks with transfers among players we examine the formation of networks among a set of players whose payoffs depend on the structure of the network when players may bargain by promising or demanding transfer payments when forming links we vary three aspects of the game i whether players can only make transfers to and receive transfers from players to whom they are directly linked or whether they can also subsidize links that they are not directly involved in ii whether or not transfers relating to a given link can be made contingent on the full resulting network or only on the link itself and iii whether or not players can pay other players to refrain from forming links we characterize the networks that are supported under these variations and show how each of the above aspects either accounts for a specific type of externality or deals with the combinatorial nature of network payoffs

pollution claim settlements under private information abstract the classical problem of resolving a nuisance dispute between a pollution generating firm and nearby residents is modelled here as a mechanism design problem we assume that the designer of the mechanism is the firm that it is uncertain about the actual losses suffered by residents and that the initial assignment of property rights is one where each resident is entitled to prevail we derive a profitmaximizing scheme under the individual rationality and incentive compatibility constraints and examine its properties it is shown that the outcomes it yields are sometimes inefficient moreover when many residents are affected by pollution and the degree of uncertainty with respect to the losses they suffer is large these inefficiencies become rampant

bargaining binding contracts and competitive wages in a model where many workers bargain with one firm and sign binding contracts we show existence of a stationary subgame perfect equilibrium if the production function satisfies decreasing return

on governing multilateral transactions with bilateral contracts bilateral contracts while neither negotiated nor enforced in an integrated way are nevertheless often interrelated both economically and strategically owing to production or consumption complementarities and to asymmetric information a set of bilateral contracts forms a mechanism with special properties this mechanism forms a contract equilibrium if there is no joint incentive for a supplier and any individual customer unilaterally to alter the terms of their contract if agents preferences are risk neutral in money income and if their private information is independent then there exists a contract equilibrium that implements efficient transactions if in addition preferences are strictly concave and differentiable in goods and services and technologically feasible sets are suitably convex then this equilibrium is essentially unique

intra firm bargaining under non binding contracts we present a new methodology for studying the problem of intra firm bargaining based on the notion that contracts cannot commit the firm and its agents to wages and employment we develop and analyse a general non cooperative multilateral bargaining framework between the firm and its employees and consider outcomes which are immune to renegotiations by any party equilibrium firm profits are characterizable as both a weighted average of a neo classical non bargaining firm s profits and a generalization of shapley value for a corresponding cooperative game furthermore the resulting payoffs induce economically significant distortions in the firm s input and organizational design decisions

the interaction of direct and indirect risk selection abstract this paper analyzes the interaction of direct and indirect risk selection in health insurance markets it is shown that direct risk selection using measures unrelated to the benefit package like selective advertising or losing applications of high risk individuals nevertheless has an influence on the distortions of the benefit package caused by indirect risk selection direct risk selection drs may either increase or decrease these distortions depending on the type of equilibrium pooling or separating the type of drs positive or negative and the type of cost for drs individual specific or not regulators who succeed in reducing drs by e g banning excessive advertising or implementing fines for losing applications may therefore unintendedly mitigate or exacerbate the distortions of the benefit package caused by indirect risk selection it is shown that the interaction of direct and indirect risk selection also alters the formula for optimal risk adjustment

business to business bargaining in two sided markets abstract bargaining regularly takes place on the business to business side of two sided markets however little is known about the consequences of these negotiations in this paper we allow the platform or a policy maker to choose between a standard design offering posted prices to both sides or a design with bargaining offering a posted price to consumers and negotiating with at least some firms we find that the platform pursues negotiations when it has a strong bargaining position and does so by targeting firms with the largest network effects while this behavior may appear exploitive we show that profits and welfare often align across platform designs this alignment stems from how bargaining incentivizes the platform greater platform bargaining power allows the platform to extract more of the network surpluses since it can convert more of the firm surplus into profits and this incentivizes the platform to draw in greater participation generating greater welfare these results suggest that platform and policy maker preferences often align in this setting

markets for ownership the prevailing economic theory of the firm based on a property rights perspective has demonstrated that ownership by dispensable outside parties is an inefficient outcome relative to ownership by productive agents in order to better understand observed patterns of ownership this paper considers the outcome of ma rkets for ownership that operate prior to production taking place the main result is that outside parties will often become the equilibrium asset owners this is precisely because but for ownership such parties would not earn rents in contrast productive agents earn rents even when they do not own assets given that their contribution is complementary with other productive agents their willingness to pay for ownership is less than that of an outside party this result is robust to the introduction of moderate levels of inefficiency arising from outside ownership and to a consideration of opportunities for re sale before production begins the main conclusion drawn is that the nature of the operation of markets for ownership stands alongside incentive effects as important predictors of firm boundaries journal of economic literature classification numbers d23 l22

bargaining in a network of buyers and sellers abstract we analyze bargaining between buyers and sellers who are connected by an exogenously given network players can make repeated alternating public offers that may be accepted by any of the responders linked to each specific proposer our purpose is to find the conditions of the network which drive the price distribution in equilibrium this paper uses graph theory tools to provide necessary and sufficient conditions regarding the architecture of networks for the subgame perfect equilibrium of the bargaining game to coincide with the walrasian outcome

stationary markov perfect equilibria in discounted stochastic games abstract the existence of stationary markov perfect equilibria in stochastic games is shown under a general condition called decomposable coarser transition kernels this result covers various earlier existence results on correlated equilibria noisy stochastic games stochastic games with finite actions and state independent transitions and stochastic games with mixtures of constant transition kernels as special cases a remarkably simple proof is provided via establishing a new connection between stochastic games and conditional expectations of correspondences new applications of stochastic games are presented as illustrative examples including stochastic games with endogenous shocks and a stochastic dynamic oligopoly model

discounted stochastic games with no stationary nash equilibrium two examples we present two examples of discounted stochastic games each with a continuum of states finitely many players and actions that possess no stationary equilibria the first example has deterministic transitions an assumption undertaken in most of the early applications of dynamics games in economics and perfect information and does not possess even stationary approximate equilibria or markovian equilibria the second example satisfies in addition to stronger regularity assumptions that all transitions are absolutely continuous with respect to a fixed measure an assumption that has been widely used in more recent economic applications this assumption has been undertaken in several positive results on the existence of stationary equilibria in special cases and in particular guarantees the existence of stationary approximate equilibria

trading between agents for a better match this paper studies externalities that arise when agents can trade outcomes ex post i show that when agents can trade outcomes ex post principals are incentivized to contract with agents ex ante to reduce ex post transfers to outside agents with whom the principals do not directly contract this causes principals to offer agents piece rates that are inefficiently low and lower than the piece rates they would offer if trading was not allowed although trading reduces an agent s effort and could increase the agent s outside option of rejecting a principal s ex ante contract principals ultimately gain from allowing ex post trading because such trading results in outcomes that better match their tastes

nash in nash tariff bargaining abstract we provide an equilibrium analysis of the efficiency properties of simultaneous bilateral tariff negotiations in a three country model of international trade we consider the setting in which discriminatory tariffs are allowed and we utilize the nash in nash solution concept of horn and wolinsky 1988 we allow for a general family of political economic country welfare functions and assess efficiency relative to these welfare functions we establish a sense in which the resulting tariffs are inefficient and too low so that excessive liberalization occurs from the perspective of the three countries

bilateral bargaining in networks abstract each connected pair of nodes in a network can jointly produce one unit of surplus a maximum number of linked nodes is selected in every period to bargain bilaterally over the division of the surplus according to the protocol proposed by rubinstein and wollinsky equilibrium in a market with sequential bargaining econometrica 53 1985 1133 1150 all pairs which reach an agreement obtain the discounted payoffs and are removed from the network this bargaining game has a unique subgame perfect equilibrium that induces the dulmage mendelsohn decomposition partition of the bipartite network of the set of nodes in this network

the limits of monopolization through acquisition we address the question of whether competitive acquisition of firms by their rivals can result in complete or partial monopolization of a homogeneous product industry this question is modeled in terms of two distinct three stage noncoopera tive games analysis of subgame perfect pure strategy nash equilibria of these games discloses that under simplifying assumptions monopolization of an industry through acquisition is limited to industries with relatively few firms partial monopolization is either limited in scope or can be completely eliminated by prohibiting any owner from acquiring over 50 percent of the firms in the industry

a theory of buyer seller networks this paper introduces a new model of exchange networks rather than markets of buyers and sellers it begins with the empirically motivated premise that a buyer and seller must have a relationship a link to exchange goods networks buyers sellers and the pattern of links connecting them are common exchange environments this paper develops a methodology to study network structures and explains why agents may form networks in a model that captures characteristics of a variety of industries the paper shows that buyers and sellers acting strategically in their own self interests can form the network structures that maximize overall welfare

continuous stochastic games of capital accumulation with convex transitions abstract we consider a discounted stochastic game of common property capital accumulation with nonsymmetric players bounded one period extraction capacities and a transition law satisfying a general strong convexity condition we show that the infinite horizon problem has a markov stationary subgame perfect equilibrium and that every finite horizon truncation has a unique markovian equilibrium both in consumption functions which are continuous and nondecreasing and have all slopes bounded above by 1 unlike previous results in strategic dynamic models these properties are reminiscent of the corresponding optimal growth model journal of economic literature classification codes c73 o41 q20

competition leverage how the demand side affects optimal risk adjustment we study optimal risk adjustment in imperfectly competitive health insurance markets when high risk consumers are less likely to switch insurer than low risk consumers insurers then have an incentive to select even if risk adjustment perfectly corrects for cost differences to achieve first best risk adjustment should overcompensate insurers for serving high risk agents second we identify a trade off between efficiency and consumer welfare reducing the difference in risk adjustment subsidies increases consumer welfare by leveraging competition from the elastic low risk market to the less elastic high risk market third mandatory pooling can increase consumer surplus further at the cost of efficiency

price discrimination and bargaining empirical evidence from medical devices many important issues in business to business markets involve price discrimination and negotiated prices situations where theoretical predictions are ambiguous this paper uses new panel data on buyer supplier transfers and a structural model to empirically analyze bargaining and price discrimination in a medical device market while many phenomena that restrict price discrimination are suggested as ways to decrease hospital costs e g mergers group purchasing organizations and transparency i find that 1 non discriminatory pricing actually works against hospitals because competition is more intense under price discrimination and 2 results depend ultimately on a previously unexplored bargaining effect

a theory of dynamic oligopoly ii price competition kinked demand curves and edgeworth cycles we provide game theoretic foundations for the classic kinked demand curve equilibrium and edgeworth cycle we analyze a model in which firms take turns choosing prices the model is intended to capture the idea of reactions based on short run commitment in a markov perfect equilibrium mpe a firm s move in any period depends only on the other firm s current price there are multiple mpe s consisting of both kinked demand curve equilibria and edgeworth cycles in any mpe profit is bounded away from the bertrand equilibrium level we show that a kinked demand curve at the monopoly price is the unique symmetric renegotiation proof equilibrium when there is little discounting we then endogenize the timing by allowing firms to move at any time subject to short run commitments we find that firms end up alternating thus vindicating the ad hoc timing assumption of our simpler model we also discuss how the model can be enriched to provide explanations for excess capacity and market sharing keiiwords tacit collusion markov perfect equilibrium kinked demand curve edgeworth cycle excess capacity market sharing endogenous timing

optimal risk adjustment with adverse selection and spatial competition abstract paying insurers risk adjusted prices for covering different individuals can correct selection incentives and induce the market to provide optimal insurance policies to calculate the optimal risk adjusted prices we need to know a what the optimal policies are b how much they cost and c how competitive the market is we examine these issues in a model with spatial heterogeneity and adverse selection market equilibrium is characterized and delivery of the socially optimal insurance policies is possible as long as providers are paid risk adjusted fees for each individual they serve when the payment can be made on the basis of an individual s risk it should be sufficient to cover the expected cost of the socially optimal policy for that person plus a mark up if payments can be made only on the basis of a partially informative signal the optimal risk based payments should be adjusted according to a simple linear transformation identified by glazer and mcguire glazer j mcguire t 2000 optimal risk adjustment of health insurance premiums an application to managed care american economic review 90 4 1055 1071

mergers when prices are negotiated evidence from the hospital industry in recent years many hospitals have merged in part to gain bargaining leverage with managed care organizations mcos we investigate the price impact of hospital mergers by formulating and estimating an equilibrium bargaining model between hospital systems and managed care health insurers over prices for inpatient services we estimate the parameters of the model using claims and discharge data from northern virginia in 2006 inova health system proposed to acquire prince william hospital we nd that this merger would have raised prices signicantly and that the remedy of separate bargaining imposed by the ftc in a separate hospital case would have resulted in a larger price increase

cross licensing and competition we study bilateral cross licensing agreements between n 2 firms that engage in competition after the licensing phase it is shown that the most collusive cross licensing royalty i e the one that allows the industry to achieve the monopoly profit is sustainable as the outcome of bilaterally efficient agreements in a symmetric setting if the terms of the cross licensing agreements are not observable to third parties the monopoly royalty is the unique symmetric bilaterally efficient royalty however when the terms of the agreements are public the most competitive royalty i e zero can also be bilaterally efficient policy implications regarding the antitrust treatment of cross licensing agreements are derived from these results

the nash program non convex bargaining problems we define and characterize an extension of the nash bargaining solution to non convex bargaining problems and in the spirit of the nash program of implementing cooperative solutions non cooperatively we show that this solution is supported by rubinstein s econometrica 50 1982 97 110 model of bargaining and its corresponding set of stationary subgame perfect equilibria

bilateral monopolies and incentives for merger the paper presents a model of duopoly in which firms acquire inputs through bilateral monopoly relations with suppliers it combines a bargaining model with a duopoly model to examine how input pri

non cooperative bargaining and union formation we study a union formation decision problem when workers consist of two groups distinguished by different productivities workers may form either a joint union or two separate unions the whole decision process is modelled as an extensive form bargaining game workers form a joint union when the sizes or productivities of the groups are similar in the first case there is a wage differential which is more less than proportional to the productivity difference if the size of the more productive is smaller larger than that of the less productive in the second case there is no wage differential in this paper we study a union formation decision problem when workers consist of two groups distinguished by different productivities they may form either a joint union or two separate unions depending on the relative size and productivity of the two groups the whole decision process is modelled as an extensive form bargaining game in which the two groups of workers bargain with each other as well as with a firm the labour market is sharply distinguished from the goods market by the widespread practice of collective bargaining usually several groups of workers with different characteristics for example skill level or geographical location are represented as a single unit and or several employers form a single bargaining unit against a giant union this multiplicity of bargaining units creates a complicated bargaining structure and makes the outcome hard to analyse the purpose of this paper is to provide a model which captures this complexity and at the same time clarifies the underlying structure of bargaining power although economists have been aware of the multiplicity problem for a long time it has been received little rigorous theoretical treatment until recently davidson 1985 examined the possible gains that can be obtained by trade unions through joint bargaining in an oligopolistic industry there is a positive externality due to the fact that a higher wage rate in one firm generates a larger demand hence a higher wage in competing firms when a joint union is organized these externalities are internalized to the benefit of workers horn and wolinsky 1985 investigated the equilibrium pattern of unionization in an industry where a firm employs two types of workers they found that workers tend to form a single union when the two types are substitutes in the sense that the incremental contribution of one group to the firm s revenue is decreasing with respect to the size of the other group since workers bargaining power comes from the loss that they can

contracting with externalities the paper studies inefficiencies arising in contracting between one principal and n agents when the utility of each agent depends on all agents trades with the principal when the principal commits to a set of publicly observable bilateral contract offers the arising inefficiency is due entirely to the externalities imposed on non signers in contrast when the principal s offers are privately observed the distortion is due to the externalities given agents equilibrium trades comparison of the two externalities determines the relative efficiency of the two contracting regimes in both cases we show that when n is large each agent can be treated as non pivotal provided that appropriate continuity assumptions are satisfied we also study the case in which the principal can condition each agent s trade on other agents messages we characterize the set of such mechanisms in which each agent s participation is voluntary when the principal can commit to any such mechanism she implements the first best outcome while threatening each deviator with the harshest possible punishment however in the presence of noise that goes to zero slower than n goes to infinity in the limit we obtain a generally inefficient outcome in which each agent feels non pivotal

why higher takeover premia protect minority shareholders posttakeover moral hazard by the acquirer and free riding by the target shareholders lead the former to acquire as few sharcs as necessary to gain control as moral hazard is most severe under such low ownership concentration inefficiencies arise in successful takeovers moreover share supply is shown to be upward sloping rules promoting ownership concentration limit both agency costs and the occurrence of takeovers furthermore higher takeover premia induced by competition translate into higher ownership concen tration and are thus beneficial finally one share one vote and simple majority are generally not optimal and socially optimal rules need not emerge through private contracting

technology adoption in the presence of network externalities we analyze technology adoption in industries where network externalities are significant the pattern of adoption depends on whether technologies are sponsored a sponsor is an entity that has property rights to the technology and hence is willing to make investments to promote it key findings include the following 1 compatibility tends to be undersupplied by the market but excessive standardization can occur 2 in the absence of sponsors the technology superior today has a strategic advantage and is likely to dominate the market 3 when one of two rival technologies is sponsored that technology has a strategic advantage and may be adopted even if it is inferior 4 when two competing technologies both are sponsored the technology that will be superior tomorrow has a strategic advantage

the welfare effects of bundling in multichannel television markets we measure how the bundling of television channels affects short run welfare we estimate an industry model of viewership demand pricing bundling and input market bargaining using data on ratings purchases prices bundles and input costs we conduct simulations of a la carte policies that require distributors to offer individual channels for sale to consumers we estimate that negotiated input costs rise by 103 0 percent under a la carte these higher input costs offset consumer benefits from purchasing individual channels mean consumer and total surplus change by an estimated 5 4 to 0 2 percent and 1 7 to 6 0 percent respectively jel d12 l11 l51 l82 m31

bargaining in stationary networks we study an infinite horizon game in which pairs of players con nected in a network are randomly matched to bargain players who reach agreement are replaced by new players at the same positions in the network we show that all equilibria are payoff equivalent the payoffs and the set of agreement links converge as players become patient several new concepts mutually estranged sets partners and shortage ratios provide insights into the relative strengths of the positions in the network we develop a procedure to deter mine the limit equilibrium payoffs for all players characterizations of equitable and nondiscriminatory networks are also obtained jel c78 d85 competitive equilibrium theory assumes large and anonymous markets in which every buyer can trade with every seller underlying these assumptions are standard goods and services that may be traded at low transaction costs by agents who are not in specific relationships with one another however in many markets goods and services are heterogeneous e g cars apartments or need to be tailored to particular needs e g manufacturing inputs technical support furthermore trad ing opportunities may depend on transportation costs social relationships infor mation advertising trust technological compatibility joint business opportunities free trade agreements etc in such cases it is natural to model the market using a network where only pairs of connected agents may engage in exchange new theories are needed to explore the influence of the network structure on market outcomes many questions arise how does an agent s position in the net work determine his bargaining power and the local prices he faces who trades with whom and on what terms when are prices uniform in the network one possible conjecture is that an agent s bargaining power is determined by his relative number of connections in the network however this simple theory is implausible consider the network of four sellers located at the top nodes and nine buyers located at the bottom nodes depicted in figure 1 assume that each seller supplies one unit of a homogeneous indivisible good each buyer demands one unit of the good and all buyers have identical values for the good the buyer located in the middle has the largest number of links in the network as he is connected to each

corrigendum to discounted stochastic games with no stationary nash equilibrium two examples levy 2013 presented examples of discounted stochastic games that do not have stationary equilibria the second named author has pointed out that one of these examples is incorrect in addition to describing the details of this error this note presents a new example by the first named author that succeeds in demonstrating that discounted stochastic games with absolutely continuous transitions can fail to have stationary equilibria

endogenous scope of firm union bargaining with vertical pay comparisons abstract there is strong evidence that employees motivation and incentives in the workplace are affected by vertical pay comparisons in a stylized cournot duopoly model with firm specific unions that institutionalize workers vertical fairness concerns we show that universal wage employment w e bargaining may arise as the equilibrium scope of bargaining institution we thus propose that intra firm vertical fairness concerns may resolve the mismatch between recent findings in the empirical literature on labor market institutions and the predictions of traditional models that universal w e bargaining will never arise in equilibrium the scope of bargaining puzzle we derive a number of testable hypotheses that address the recent shift towards more decentralized bargaining institutions the decline in unions bargaining power and the prevalence of w e bargaining

vertical integration in the presence of upstream competition we analyse vertical integration when there is upstream competition and compare outcomes to the case where upstream assets are owned by a single agent i e upstream monopoly in so doing we make two contributions to the modelling of strategic vertical integration first we base industry structure namely the ownership of assets firmly within the property rights approach to firm boundaries second we model the potential multilateral negotiations using a fully specified non cooperative bargaining model designed to easily compare outcomes achieved under upstream competition and monopoly given this we demonstrate that vertical integration can alter the joint payoffs of integrating parties in ex post bargaining however this bargaining effect is stronger for firms integrating under upstream competition than upstream monopoly we also consider the potential for integration to internalise competitive externalities in manner that cannot be achieved under non integration we demonstrate that ex post monopolization is more likely to occur when there is an upstream monopoly than when there is upstream competition our general conclusion is that the simple intuition that the presence of upstream competition can mitigate and reduce the incentives for socially undesirable vertical integration is misplaced and depending upon the strength of downstream competition i e product differentiation the opposite could easily be the case journal of economic literature classification number l42

noisy stochastic games this paper establishes existence of a stationary markov perfect equilibrium in general stochastic games with noise a component of the state that is nonatomically distributed and not directly affected by the previous period s state and actions noise may be simply a payoff irrelevant public randomization device delivering known results on the existence of correlated equilibrium as a special case more generally noise can take the form of shocks that enter into players stage payoffs and the transition probability on states the existence result is applied to a model of industry dynamics and to a model of dynamic electoral competition

setting health plan premiums to ensure efficient quality in health care minimum variance optimal risk adjustment abstract risk adjustment refers to the practice of paying health plans a premium per person or per family based on a formula using risk adjusters such as age or gender and weights on those adjusters one role of risk adjustment is to make sure plans have an incentive to accept all potential enrollees another role at least as important in our view is to lead health plans to choose the efficient level of quality of care for the various services they offer most of the research and policy literature on risk adjustment focuses on the first problem this paper proposes a new way to calculate weights in a risk adjustment formula that contends with both problems for a given set of adjusters we identify the weights that minimize the variance in plan predictable health care costs that are not explained by risk adjustment addressing the access problem subject to the payments satisfying conditions for an optimal risk adjuster making sure plans provide the efficient quality we call the formula minimum variance optimal risk adjustment mvora

multiunit bargaining in oligopolistic industries a model of wage determination in unionized oligopolistic industries is developed and used to compare the outcome of collective bargaining under two different bargaining structures one in which the workers of each firm are represented by separate and independent unions local bargaining and one in which a national union represents all workers in the industry in both cases the bargaining problem has a unique outcome with industrywide bargaining resulting in higher wages in addition industrywide unions are inherently stable in that there are no incentives for independent unions to attempt to cheat on the collusive agreement

opportunism in multilateral vertical contracting nondiscrimination exclusivity and uniformity comment an input supplier selling to competing downstream firms would benefit from publicly committing at the outset to all contracts efficient commitment however would require complete contracts the authors study instead bilateral contracting without commitment regarding others terms each firm then fears that the supplier might opportunistically renegotiate another s contract to increase bilateral profit at the firm s expense the authors show that nondiscrimination clauses generally cannot curb such third party opportunism even with symmetric firms to reassure firms crude forms of commitment may be adopted this could explain the pervasiveness of exclusivity arrangements and the striking uniformity and intertemporal rigidity of franchise contracts copyright 1994 by american economic association

communication in vertical markets experimental evidence abstract an upstream monopolist supplying competing downstream firms may fail to monopolize the market because it is unable to commit not to behave opportunistically we build on previous experimental studies of this well known commitment problem by introducing communication allowing the upstream firm to chat privately with each downstream firm reduces total offered quantity from near the cournot level observed in the absence of communication halfway toward the monopoly level allowing all firms to chat together openly results in complete monopolization downstream firms obtain such a bargaining advantage from open communication that all of the gains from monopolizing the market accrue to them a simple structural model of nash in nash bargaining fits the pattern of shifting surpluses well using third party coders unsupervised text mining among other approaches we uncover features of the rich chat data that are correlated with market outcomes we conclude with a discussion of the antitrust implications of open communication in vertical markets

vertical relationships between manufacturers and retailers inference with limited data in this paper different models of vertical relationships between manufacturers and retailers in the supermarket industry are compared demand estimates are used to compute price cost margins for retailers and manufacturers under different supply models when wholesale prices are not observed the purpose is to identify the set of margins compatible with the margins obtained from estimates of cost and to select the model most consistent with the data among non nested competing models the models considered are 1 a simple linear pricing model 2 a vertically integrated model and 3 a variety of alternative strategic supply scenarios that allow for collusion non linear pricing and strategic behaviour with respect to private label products using data on yogurt sold in several stores in a large urban area of the u s the results imply that wholesale prices are close to marginal cost and that retailers have pricing power in the vertical chain this is consistent with non linear pricing by the manufacturers or high bargaining power of the retailers

negative externalities may cause delay in negotiation we study the strategic equilibria of a negotiation game where potential buyers are affected by identity dependent negative externalities the unique equilibrium of long finitely repeated generic games can either display delay where a transaction can take place only in several stages before the deadline or in spite of the random element in the game a well defined buyer exists that obtains the object with probability close to one

how does risk selection respond to risk adjustment new evidence from the medicare advantage program to combat adverse selection governments increasingly base payments to health plans and providers on enrollees scores from risk adjustment formulae in 2004 medicare began to risk adjust capitation payments to private medicare advantage ma plans to reduce selection driven overpayments but because the variance of medical costs increases with the predicted mean incentivizing enrollment of individuals with higher scores can increase the scope for enrolling overpriced individuals with costs significantly below the formula s prediction indeed after risk adjustment ma plans enrolled individuals with higher scores but lower costs conditional on their score we find no evidence that overpayments were on net reduced

a noncooperative theory of coalitional bargaining the authors explore a sequential offers model of n person coalitional bargaining with transferable utility and with time discounting their focus is on the efficiency properties of stationary equilibria of strictly superadditive games when the discount factor delta is sufficiently large it is shown that delay and the formation of inefficient subcoalitions can occur in equilibrium the latter for some or all orders of proposer however efficient stationary equilibrium payoffs converge to a point in the core as delta approaches one strict convexity is a sufficient condition for there to exist an efficient stationary equilibrium payoff vector for sufficiently high delta

insurer pricing and consumer welfare evidence from medigap this article examines the welfare impact of imperfect competition in the medicare supplement insurance medigap market two firms control nearly three fourths of the medigap market and premiums exceed claims by over 25 i find that a low price elasticity and consumers brand preferences lead firms to engage in substantial marketing and price above cost therefore the strategic behavior of insurers facing relatively inelastic demand is critical in explaining poor market performance i also find that insurers do not capture all of the rents in this market rents also accrue to actors who perform marketing functions including agents and brokers

asymmetric information bargaining problems with many agents a yes or no decision must be made about some issue all agents must agree the coase theorem asserts that the efficient outcome will always result suppose the value positive or negative that an individual attaches to an affirmative decision is privately known to that individual it is proved under very mild conditions that with independent types as the number of agents increases the probability of an affirmative efficient decision goes to zero an example in which it is common knowledge that an affirmative decision is efficient and yet the probability of such a decision goes to zero is given

how to license intangible property we examine the optimal licensing strategy of a research lab selling to firms who are product market competitors we consider an independent lab as well as a research joint venture we show that 1 demands are interdependent and hence the standard price mechanism is not the profit maximizing licensing strategy 2 the seller s incentives to develop the innovation may be excessive 3 the seller s incentives to disseminate the innovation typically are too low 4 larger ventures are less likely to develop the innovation and more likely to restrict its dissemination in those cases where development occurs and 5 a downstream firm that is not a member of the research venture is worse off as a result of the innovation

nash in nash bargaining a microfoundation for applied work a nash equilibrium in nash bargains has become the workhorse bargaining model in applied analyses of bilateral oligopoly this paper proposes a non cooperative foundation for nash in nash bargaining that extends the rubinstein 1982 model to multiple upstream and downstream rms assuming there exists gains from trade for each rm pair we prove that there exists an equilibrium with immediate agreement and negotiated prices that correspond to rubinstein prices if and only if the marginal contribution of a set of agreements is weakly greater than the sum of the agreements marginal contributions we provide stronger conditions under which equilibrium prices are unique

optimal risk adjustment in markets with adverse selection an application to managed care it is well known that adverse selection causes distortions in contracts in markets with asymmetric information taxing inefficient contracts and subsidizing the efficient ones can improve market outcomes bruce c greenwald and joseph e stiglitz 1986 although regulators rarely seem to implement tax and subsidy schemes with adverse selection motives in mind contracts are often complex and incomplete and it is the inefficient elements of the contract that are difficult to verify and hence tax or subsidize this is precisely the reason that in health insurance markets rather than subsidizing contracts regulators and payers contend with adverse selection by taxing and subsidizing the price paid to insuring health plans on the basis of observable characteristics of the persons joining the plan a practice known as risk adjustment risk adjusted premiums are paid to managed care plans plans that ration care by management rather than by conventional approaches like coinsurance and deductibles and offer a bundle of characteristics quality access for many services that is fundamentally outside the scope of direct regulation selection related incentives threaten the efficiency and fairness of this organization of health insurance markets by inducing plans to distort the quality of the services they offer to discourage high cost persons from joining the plan as managed care becomes the predominant source of health care for residents of the united states and many other countries payers attempt to address this incentive by setting a risk adjusted price that pays more for more expensive enrollees as it is conventionally practiced risk adjustment sets prices for people proportional to their expected cost based on observable characteristics the federal medicare program for example has used age sex welfare status and county of residence adjusters to set prices to managed care plans to convey how what we term conventional risk adjustment works suppose age is the risk adjuster for a medicare population over 65 if it is determined that the 75to 84 year old population costs 20 percent more than the overall average in medicare the assumption in conventional risk adjustment is that the premium paid to plans for someone in this group should be 20 percent above the average we fundamentally disagree that this is the right way to think about and do risk adjustment

sequential equilibria in a ramsey tax model this paper presents a full characterization of the equilibrium value set of a ramsey tax model more generally it develops a dynamic programming method for a class of policy games between the government and a continuum of households by selectively incorporating euler conditions into a strategic dynamic programming framework we wed two technologies that are usually considered competing alternatives resulting in a substantial simplification of the problem

bilateral control with vertical contracts when a manufacturer contracts secretly with competing retailers he is subject to opportunism and linear or non linear tariffs may not allow the manufacturer to maintain monopoly prices to analyse the effects of rpm o brien shaffer 1992 use a concept of contract equilibrium which concentrates on pairwise deviations thereby questioning the robustness of the analysis this paper emphasises the distinction between the contract equilibrium and standard non cooperative concepts we advocate for some caution in the use of the former concept as if overlooks an inexistence problem we then confirm the intuition that rpm can help solve the manufacturer s commitment problem this confirms that o brien shaffer s insight is robust and validates the courts reluctance against rpm