search unemployment and the production of jobs the authors investigate the performance of the economy when search is required to find employment and when the duration of unemployment varies across sectors they assume that in one sector factor markets are frictionless while in the other se ctor idle factors of production must actively search each other out i n order to produce they focus on how well the economy allocates work ers across sectors and the conditions under which the factor mix with in a sector is correct the authors demonstrate that in equilibrium t he search sector is too small and its factor intensity is too asymmet ric copyright 1987 by royal economic society

gentrification and failing schools the unintended consequences of school choice under nclb we examine the housing market and residential mobility changes that occur soon after a title 1 school fails to achieve adequate yearly progress ayp in charlotte north carolina students within attendance zones of failing schools are given priority in lotteries for oversubscribed schools potentially increasing the attractiveness of living in a failing school attendance zone we find that housing prices home buyer income and the probability of attending a nonassigned school increase in the highest quality neighborhoods within failing school attendance zones our results are driven largely by the behavior of new residents

market clearing and price formation abstract considered here is decentralized exchange of privately owned commodity bundles voluntary transactions take the form of repeated bilateral barters under broad and reasonable hypotheses the resulting process converges to competitive equilibrium price taking behavior is not assumed prices emerge over time they need neither be anticipated nor known at any interim stage

taxation in a two sided search model abstract this paper analyzes the effects of wage and profit taxation in a simple search and bargaining model wage tax effects depend upon the level of unemployment benefits if unemployment benefits are less than search costs or if benefits are taxed as income then a wage tax decreases unemployment it also decreases the wage thereby overshifting the tax burden profit tax effects depend upon job entry in the short run with a fixed number of jobs filled jobs plus vacancies a profit tax decreases unemployment it also raises the wage again overshifting the tax in the long run the converse holds

bargaining search and outside options abstract this paper studies a two sided incomplete information bargaining model between a seller and a buyer the buyer has an outside option which is modeled as a sequential search process during which he can choose to return to bargaining at any time two cases are considered in regime i both agents have symmetric information about the search parameters we find that in contrast to bargaining with complete information the option to return to bargaining is not redundant in equilibrium however the no delay result still holds in regime ii where agents have asymmetric information about the outside option delay is possible the solution characterizes the parameters for renegotiation and those for search with no return to the bargaining table

fairness price stickiness and history dependence in decentralized trade this chapter investigates the implications that social preferences have for the stationary strategic equilibrium of such a decentralized market agents are supposed to be averse to unfairly unfavorable as well as unfairly favorable deals in the spirit of fehr and schmidt 1999 but we stay rather close to standard individualistic preferences the negative weights on advantageous and disadvantageous deviations from what is considered as the fair benchmark are such that utility remains strictly increasing in own surplus share and in contrast to the original fehr schmidt model the fair split need not automatically be a 50 50 division any price between sellers cost and buyers willingness to pay may be the one which for whatever reasons is agents reference point in a given market this makes it possible to consider a more flexible notion of fairness than is usually done it is in line with cognitive dissonance theory from psychology and the noteworthy experiments of binmore et al 1991 1993 where subjects who were triggered to play different bargaining equilibria ended up considering very different surplus distributions as fair

auctions actions and the failure of information aggregation we study a market where k identical and indivisible objects are allocated using a uniform price auction where n k bidders each demand one object before the auction each bidder receives an informative but imperfect signal about the state of the world the good that is auctioned is a common value object for the bidders and a bidder s valuation for the object is determined jointly by the state of the world and an action that he chooses after winning the object but before he observes the state we show that there are equilibria where the auction price is completely uninformative about the state of the world and aggregates no information even in an arbitrarily large auction in the equilibrium that we construct because prices do not aggregate information agents have strict incentives to acquire costly information before they participate in the market also market statistics other than price such as the amount of rationing and bid distributions contain extra information about the state our findings sharply contrast with past work which shows that large auctions aggregate information when there is no ex post action

bargaining and value we present and analyze a model of noncooperative bargaining among n participants applied to situations describable as games in coalitional form this leads to a unified solution theory for such games that has as special cases the shapley value in the transferable utility tu case the nash bargaining solution in the pure bargaining case and the recently introduced maschler owen consistent value in the general nontransferable utility ntu case moreover we show that any variation in a certain class of our bargaining procedure which generates the shapley value in the tu setup must yield the consistent value in the general ntu setup

matching markets with adverse selection abstract this paper considers a market with adverse selection in the spirit of rothschild and stiglitz quart j econ 90 1976 629 the major departure from existing approaches is that we model a decentralized market that is open ended and constantly refilled by new participants e g by new workers and firms in the case of a labor market the major novelty of this approach is that the distribution of types in the market becomes an endogenous variable which is jointly determined with equilibrium contracts as frictions become small we show that the least cost separating contracts are always supported as an equilibrium outcome regardless of the distribution of types among entrants moreover we derive conditions under which this outcome is also unique

optimal capital structure and bankruptcy choice dynamic bargaining versus liquidation abstract we model a firm s optimal capital structure decision in a framework in which it may later choose to enter either chapter 11 reorganization or chapter 7 liquidation creditors anticipate equityholders ex post reorganization incentives and price them into the ex ante credit spreads using a realistic dynamic bargaining model of reorganization we show that the off equilibrium threat of costly renegotiation can lead to lower leverage even with liquidation in equilibrium if reorganization is less efficient than liquidation the added option of reorganization can actually make equityholders worse off ex ante even when they liquidate on the equilibrium path

sorting and decentralized price competition we investigate the role of search frictions in markets with price competition and how it leads to sorting of heterogeneous agents there are two aspects of value creation the match value when two agents actually trade and the probability of trading governed by the search technology we show that positive assortative matching obtains when complementarities in the former outweigh complementarities in the latter this happens if and only if the match value function is root supermodular that is its nth root is supermodular where n reflects the elasticity of substitution of the search technology this condition is weaker than the condition required for positive assortative matching in markets with random search

search inflation and capital accumulation abstract this paper constructs a model to integrate the search monetary theory into a neoclassical growth model with divisible goods and money the model is used to examine the relationship between money growth and capital accumulation the framework uncovers a distinct extensive effect that an increase in the money growth rate increases the frequency of successful trades by increasing the number of agents in the market this positive extensive effect on the number of trades can dominate the conventional negative intensive effects of money growth on individuals labor input and real money balance in which case increasing the money growth rate increases aggregate capital and output

dynamic matching two sided incomplete information and participation costs existence and convergence to perfect competition consider a decentralized dynamic market with an infinite horizon and participation costs in which both buyers and sellers have private information concerning their values for the indivisible traded good time is discrete each period has length and each unit of time continuums of new buyers and sellers consider entry traders whose expected utility is negative choose not to enter within a period each buyer is matched anonymously with a seller and each seller is matched with zero one or more buyers every seller runs a first price auction with a reservation price and if trade occurs both the seller and the winning buyer exit the market with their realized utility traders who fail to trade continue in the market to be rematched we characterize the steady state equilibria that are perfect bayesian we show that as converges to zero equilibrium prices at which trades occur converge to the walrasian price and the realized allocations converge to the competitive allocation we also show the existence of equilibria for sufficiently small provided the discount rate is small relative to the participation

equilibrium in a market with sequential bargaining this paper considers a market where pairs of agents who are interested in carrying out a transaction are brought together by a stochastic process and upon meeting initiate a bargaining process over the terms of the transaction the basic bargaining problem is treated with the strategic approach the paper derives the steady state equilibrium agreements analyzes their dependence on market conditions such as the relative numbers of agents of different types and discusses their relations with the competitive equilibrium outcome and other results in the search equilibrium literature this paper considers a market that operates in the following way pairs of agents who have mutual interest in carrying out a transaction are brought together by a stochastic process when two agents meet they initiate a bargaining process over the terms of the transaction if two agents reach an agreement a transaction takes place and they leave the market of course the bargaining positions and hence the agreement reached in any particular meeting will be affected by the conditions prevailing in the market these will include the chances that each of the negotiating parties have of meeting other partners in the event that the agreement in the current negotiations is delayed also the expected length of time required to achieve an alternative transaction and the expected behavior of alternative partners the study of such a market mechanism is of interest for two reasons firstly it captures some realistic aspects of the trade in certain specific markets e g asset markets such as housing and some labor markets secondly it contributes to an understanding of the micro mechanisms of price formation and their role in shaping market outcomes in both cases the features studied are largely neglected in the traditional market equilibrium analyses the related literature includes the articles by diamond 4 5 diamond and maskin 6 mortensen 8 9 and zusman and bell 13 these articles consider markets of the type described above in which transactions are concluded at pairwise meetings of agents the major difference between our work and these articles is in the approach to the basic bargaining problem in the cited articles it is assumed that a meeting is concluded with an instantaneous agreement which divides the associated surplus in an arbitrary predetermined way when the surplus is assumed to be divided equally the division rule is in fact nash s axiomatic bargaining solution in contrast the present paper treats the basic bargaining problem with the strategic approach see rubinstein 19 which constitutes an attempt to look into the bargaining black box this approach explicitly models the time dimension of the bargaining process describes in detail the bargaining procedure and justifies the agreement as a perfect equilibrium in

bargaining in dynamic markets abstract we study non stationary markets in which traders are randomly matched to bargain over the price of a heterogeneous good or the terms of a partnership the economy consists of a continuum of players drawn from a finite set of types players exogenously enter the market over time and exit upon trading at every date matching probabilities for each pair of types are determined by the endogenous distribution of trader types in the market the balance of bargaining power at any stage depends on variations in potential gains from trade the inflows of new traders the structure of agreements at future dates and the induced frequency of trading opportunities we establish that an equilibrium always exists moreover all equilibria that lead to the same evolution of the economy are payoff equivalent however we show that multiple self fulfilling expectations about the trajectory of the economy generating distinct equilibrium dynamics and payoffs may coexist

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

search adverse selection and market clearing we examine a dynamic decentralized trading model with infinitesimal sellers and buyers to investigate whether or not the market fails to clear in the limit of search friction vanishing a seller who has private information about product quality and a buyer are matched to bargain over price they form a long term relationship if they reach agreement they return to the matching pool if they fail to agree or the existing relationship is dissolved the market fails to clear if and only if the ratio of agents patience over the dissolution rate exceeds a threshold

what s wrong with the fundamental existence and welfare theorems abstract the definition of walrasian competitive equilibrium on which the fundamental existence and welfare theorems rest assumes that all trading in decentralized exchange economies takes place at the final equilibrium prices which further implies that at equilibrium prices the value of each agent s equilibrium commodity bundle is equal to the value of her endowment and equal treatment of agents with the same preferences technology and endowment the logic of the theorems supports the conclusion that in competitive economies prices the allocation of commodities and the distribution of income and material welfare are determined by the preferences technology and endowments of the agents in real world markets however agents can discover equilibrium prices only by making mutually advantageous transactions at disequilibrium prices any sequence of such transactions leads stably to an exchange equilibrium at which the offer prices of all agents are close to each other and which exhausts all private opportunities to realize economic surpluses the exchange equilibrium set however is in general a continuum and the exact equilibrium reached depends on the path of transactions in general exchange equilibria do not treat agents with the same preferences and endowments equally and the exchange equilibrium allocation of commodities does not conserve the values of individual agent endowments existence and stability of exchange equilibrium are transparent consequences of the logic of voluntary exchange but because of transaction path dependence equilibrium prices allocations of commodities and the distribution of wealth and economic welfare are not determined by agents preferences and endowments

perfect equilibria in sequential bargaining games with nonlinear utility functions bargaining over a price between a seller and a buyer is analyzed as a noncooperative sequential game the perfect equilibrium of the game depends on the shape of the players utility functions which may be nonlinear it also depends on the discount rates of the two players if discount rates approach zero and the ratio between them equals one the equilibrium price will correspond to the nash bargaining solution a bargaining game with a finite number of potential bargaining periods is also studied the equilibrium price approaches the nash bargaining price when the number of potential periods becomes large

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

unemployment the market for interviews and wage determination a model of equilibrium unemployment and vacancies is presented in which the absence of a market for interviews can yield externalities and inefficiency inefficiency results in market forces that lead firms to charge fees for interviews or to change the wage rate these market forces require substantial information and may not operate a graphical analysis shows how such forces would cause wages to adjust to shifts in supply taxes and transfers between workers and firms with excessive unemployment efficiency requires a transfer of income from workers to firms

mechanism design by competing sellers a dynamic model with many sellers and buyers is constructed agents failing to trade may trade in the next period an equilibrium is found where sellers hold identical auctions and buyers randomize over the sellers they visit the distribution of buyer valuations is endogenous an auction with efficient reserve is an optimal mechanism from each seller s point of view in spite of the ability of any seller to alter the distribution of buyer types participating in the seller s mechanism by altering the mechanism copyright 1993 by the econometric society

price dispersion in stationary networked markets abstract different sellers often sell the same good at different prices using a strategic bargaining model i characterize how the equilibrium prices of a good depend on the interaction between its sellers costs its buyers values and a network capturing various frictions associated with trading it in contrast to the standard random matching model of bargaining in stationary markets i allow agents to strategically choose whom to make offers to which qualitatively changes how the network shapes prices as in the random matching model the market decomposes into different submarkets and in the limit as bargaining frictions vanish the law of one price holds within but not across them but strategic choice of partners changes both how the market decomposes into different submarkets and the determinants of each submarket s price

optimal unemployment insurance in search equilibrium should unemployment benefits be paid indefinitely at a fixed rate or should the rate decline or increase over a worker s unemployment spell we examine these issues using an equilibrium model of search unemployment the model features worker firm bargaining over wages free entry of new jobs and endogenous search effort among the unemployed the main result is that an optimal insurance program implies a declining benefit sequence over the spell of unemployment numerical calibrations of the model suggest that there may be nontrivial welfare gains associated with switching from an optimal uniform benefit structure to an optimally differentiated system

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

bilateral trading and incomplete information price convergence in a small market abstract we study a model of decentralised bilateral interactions in a small market where one of the sellers has private information about her value in addition to this seller with private information there are two identical buyers and another seller whose valuation is commonly known to be in between the two possible valuations of the seller with private information we consider an infinite horizon game with simultaneous one sided offers and simultaneous responses we construct one particular pbe of the game and show that as the discount factor goes to 1 prices in all transactions converge to the same value we then show that this is the case with any stationary equilibrium of the game that is the asymptotic outcome is unique across all stationary equilibria

learning and price discovery in a search market we introduce learning into an otherwise standard two sided search and bargaining market there is uncertainty about the price distribution due to uncertainty about an underlying exogenous state of relative demand in the high state buyers are on the long side otherwise they are on the short side in equilibrium prices are on average higher in the high state individual agents learn about the distribution while searching agents typically start out by experimenting with a tough bargaining position buyers may initially insist on a low price and sellers on a high price after successive failures to trade agents become increasingly pessimistic about the market conditions and soften their bargaining stance when frictions are small equilibrium transaction prices are approximately market clearing despite aggregate demand being unknown thus the search and bargaining procedure enables price discovery in a decentralized market

should buyers or sellers organize trade in a frictional market to answer the question in the title this article characterizes the socially efficient organization of the market with search frictions the efficient organization depends on the relative elasticity in the supply between the two sides of the market the costs of participating in the market and organizing trade and the a symmetry in matching we also show that the social optimum can be implemented by a realistic market equilibrium where the organizers set up trading sites to direct the other side s search the results provide a unified explanation for why trade has often been organized by sellers in the goods market by buyers firms in the labor market and by both sides in the asset market the analysis also sheds light on how the efficient market organization can change with innovations such as e commerce and just in time production

on trade negotiation and trade diversification abstract the paper investigates the impact of a country s other trade opportunities or options on negotiated import quotas the predictions of the nash bargaining framework are supported by the data on canadian clothing import quotas and measures of outside options of developing countries with whom canada has negotiated voluntary export restraints

on the nash bargaining solution with noise abstract suppose two parties have to share a surplus of random size each of the two can either commit to a demand prior to the realization of the surplus as in the nash demand game or remain silent and wait until the surplus was observed adding the strategy to wait results in two strict equilibria in each of which one player takes almost the whole surplus provided uncertainty is small if commitments concern only who makes the first offer the more balanced nash bargaining solution is approximately restored in all cases commitment occurs in equilibrium despite the risk of breakdown of negotiations

brand loyalty and market equilibrium two concepts of brand loyalty are defined inertial brand loyalty resulting from time lags in awareness and cost based brand loyalty resulting from intertemporal utility effects their market level implications are formally derived in a continuous time model it is found that inertial brand loyalty leads to equilibria with price dispersion while cost based brand loyalty also may allow single price equilibria in all cases as brand loyalty vanishes so does the difference between the average trading price and the price which obtains with no brand loyalty consistent with empirical results the theory predicts that the relationship between market share and performance is positive in cross sectional studies but flat in time series studies the theory is also consistent with the view that market share is an asset in itself after developing the theory several strategic implications are drawn in the end some questions for further theoretical and empirical research are raised

externalities and corrective policies in experimental markets this paper reports on the behaviour of simple laboratory markets which have an externality experiences with these markets provide some help in answering two broad questions 1 do markets with externalities behave in accordance with the law of supply and demand 2 how do the pollution tax pollution standard and pollution licenses compare as methods for correcting the externality