sequential bargaining in a market with one seller and two different buyers abstract a matching and bargaining model in a market with one seller and two buyers differing only in their reservation price is analyzed no subgame perfect equilibrium exists for stationary strategies we demonstrate the existence of inefficient equilibria in which the low buyer receives the good with large probability even as friction becomes negligible we investigate the relationship between the use of nash and sequential bargaining nash bargaining seems applicable only when the sequential approach yields a unique stationary strategy subgame perfect equilibrium

on data a case study of the evolution of income inequality across time and across countries this paper takes income distribution as a case study of the role of data in economics after describing the transformation which has taken place with regard to the availability of data on income inequality it discusses how the comparability of these estimates is brought into question by differences in methodology that cannot be eliminated by simple adjustments recent analyses of the relationships between income inequality and growth or globalisation are shown to be based on time series plagued by discontinuities which can seriously affect regression results the paper concludes by calling for greater attention to data quality in applied economics

decentralized trading strategic behaviour and the walrasian outcome for a market with a finite number of agents pairwise matching and bargaining it is shown that even when the market is frictionless the equilibrium is not necessarily competitive it depends on the amount of information agents use if their behaviour is conditioned only on the sets of agents present and the time the competitive solution is the unique subgame perfect equilibrium if agents have full information and condition their behaviour on some of it there are also noncompetitive equilibria in which behaviour depends on specific information such as the identity of the trading partner and past events

cheap children and the persistence of poverty this paper develops a theory of fertility that offers an explanation for the persistence of poverty within and across countries if educated individuals have a comparative advantage in raising educated children then parental fertility choice is shown to give rise to a poverty trap in which the poor choose high fertility rates with low investment in child quality moreover the impact of child quality choice on economic performance is amplified by the diluting effect of higher fertility on physical capital accumulation the theory proposes insights regarding the effects of inequality globalisation and life expectancy on economic growth and demographic transitions this paper develops a theory of fertility and child educational choice that offers an explanation for the persistence of poverty within and across countries the joint determination of the quality education and quantity of children in a household is studied under the key assumption that individuals productivity as teachers increases with their own human capital in contrast the minimum time cost associated with raising a child regardless of the child s quality the quantity cost is not affected by parental education as a result the price of child quantity relative to the price of child quality increases with individuals wages in particular for low wage individuals for whom the opportunity cost of time is low children of minimal quality are cheap this assumption therefore generates a comparative advantage for the poor in child quantity whereas high wage educated individuals have a comparative advantage in raising quality children consistent with the well known evidence poor households thus choose relatively high fertility rates with relatively low investment in their offspring s education and therefore their offspring are poor as well in contrast high income families choose low fertility rates with high investment in education and therefore high income persists in the dynasty evidence from the us provided by hanushek 1992 suggests that a trade off between quantity and quality of children does indeed exist hanushek argues that movements in family size could explain over half the variance in some test scores and that the elasticity of achievements with respect to the number of children in the family is 0 03 implying that the annual achievement growth of each child in a family will fall about 2 when a second child is added and about 0 5 when a sixth child is added 1

intelligence social mobility and growth this study develops a model where the allocation of human resources intergenerational social mobility and technological growth are jointly determined high growth endogenously increases the equilibrium return to innate cognitive ability and makes the allocation of individuals depend more on innate ability and less on social background a social allocation based on innate ability and high growth will thus reinforce each other implying the possibility of multiple endogenous growth equilibria

income distribution human capital and economic growth in colombia abstract colombian income distribution has followed a clear path during the last two decades in the second half of the 1970s human capital accumulation reduced the dispersion of income distribution and lead to a period of stagnation between 1983 and 1990 when mobility declined after the structural reforms a skill bias technological change the wage differential for skilled workers increased inequality by a polarization in the bi modal distribution of income these topics are discussed in the paper along some dynamic aspects of income and educational mobility in colombia

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

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

rubinstein auctions on competition for bargaining partners abstract this paper analyzes the effect of competition for bargaining partners on the prices that prevail in thin markets as well as how the matches are simultaneously determined three trading processes or bargaining procedures are described in all the variants that we consider except for one case of public offers either there is no pure strategy subgame perfect equilibrium or such equilibria exhibit delay in reaching agreement journal of economic literature classification numbers c72 d43

the folk theorem with imperfect public information the authors study repeated games in which players observe a public outcome that imperfectly signals the actions played they provide conditions guaranteeing that any feasible individually rational payoff vector of the stage game can arise as a perfect equilibrium of the repeated game with sufficiently little discounting the central condition requires that there exist action profiles with the property that for any two players no two deviations one by either player give rise to the same probability distribution over public outcomes the results apply to principal agent partnership oligopoly and mechanism design models and to one shot games with transferable utilities copyright 1994 by the econometric society

windfall profits and vertical relationships who gained in the japanese auto industry from vers this paper employs an event study to analyze the effect of the 1981 voluntary export restraint agreements on profits in the japanese automobile industry stock price movements of seven japanese automakers and sixty nine of their suppliers are examined the results indicate that the profits of japan s producers of passenger cars rose as a result of the voluntary export restraints while only some suppliers large ones and those producing specialized parts or services appear to have shared the benefits voluntary export restraints increased profits for some firms in the japanese auto industry but many suppliers did not share the windfall copyright 1993 by blackwell publishing ltd

a multilateral telephone bargaining game abstract this paper studies a multilateral bargaining game with unanimity rule offers and responses are communicated through private telephone conversations and they are never revealed to all players with a plausible restriction on beliefs we obtain a unique perfect public equilibrium

coalition theory and its applications a survey we survey some of the major advances in coalition theory in recent years we then look at the recent applications of the theory in the area of political economy and touch upon some important theoretical and applied open questions in the field

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

women wealth and mobility using estate tax returns data we observe that the share of women among the very wealthy in the united states peaked in the late 1960s at nearly one half and then declined to one third we argue that this pattern reflects changes in the importance of dynastic wealth with the share of women proxying for inher ited wealth if so wealth mobility decreased until the 1970s and rose thereafter such an interpretation is consistent with technological change driving long term trends in mobility and inequality as well as the recent divergence between top wealth and top income shares documented elsewhere jel d31 j16 j62 033 the extent of and changes in intergenerational mobility of wealth are central to understanding dynamics of wealth inequality but are hard to measure in this paper we argue that the share of women among the wealthiest americans can be used as a proxy for the importance of inherited rela tive to self made wealth this approach assumes that women tend to inherit rather than make great fortunes if so a higher share of women among the wealthy would reflect a rise in inherited wealth at the top and thus lower wealth mobility conversely higher wealth mobility where self made wealth replaces inherited wealth would result in more men at the top of the wealth distribution judged by this proxy and corroborated by various data sources wealth mobility decreased in the period 1925 1969 and increased thereafter such a pattern is consistent with an important role for technological change in shaping the wealth distribution and can provide an explanation for why wealth concentra tion has remained stable despite increasing income concentration in the last three decades over the past century the share of women among the very wealthy followed an inverse u pattern peaking in the late 1960s according to estate tax returns in 1925 one quarter of the wealthiest 0 01 percent were women this fraction rose rapidly through world war ii wwii and then more slowly to peak in 1969 when women neared parity with men since then the decline has been marked by 2000 women s share had fallen to one third its prewar level while the rise was evident among all wealth groups in the top 1 percent of the wealth distribution the decline was confined to the very top figure ia graphs the share of women for four different groups in the top 1 percent among decedents by year figure ib does the same for the living population with the help of estate multipliers a method that treats death as a random sampling device and uses mortality rates by age and gender to infer the distribution of wealth among the living as described in the data appendix while the rise in the share of women among the wealthy until the 1960s could reflect improve ments in women s economic status labor market gains work against the recent decline for instance since the 1970s the share of women among top earners top 0 1 percent has risen by

bargaining and search with incomplete information about outside options abstract this paper considers a model of bargaining in which the seller makes offers and the buyer can search at a cost for an outside option the outside option cannot be credibly communicated and the seller s offer is recallable by the buyer for one period there are essentially two equilibrium regimes for sufficiently high search cost the game ends immediately otherwise the search occurs in equilibrium compared to the case where the buyer can communicate his outside option the seller is worse off and the game results in search for a smaller set of values of the search cost i e less equilibrium delay c72

transparency complementarity and holdout this paper characterizes the conditions under which holdout i e bargaining inefficiency may or may not be significant in a two sided one buyer many seller model with complementarity we address this problem in a very general setup with a bargaining protocol that is symmetric and allows for both publicly observable as well as secret offers and a technology that allows for variable degrees of complementarity the central insight is that the transparency of the bargaining protocol formalized by whether offers are publicly observable or secret as well as the extent of complementarity play a critical role in generating efficiency even with perfect complementarity holdout seems to be largely resolved whenever the bargaining protocol is public but not if it is secret further irrespective of the bargaining protocol holdout is resolved if the marginal contribution of the last seller is not too large

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

a noncooperative view of coalition formation and the core a noncooperative implementation of the core is provided for games with transferable utility the implementation obtained here is meant to reflect the standard motivation for the core as closely as possible in the model proposed time is continuous this idealized treatment of time is most amenable for capturing an essential feature of the core there is always time to reject a noncore proposal before it is consumated

technological progress mobility and economic growth this paper analyzes the relationship between technological progress wage inequality intergenerational earnings mobility and economic growth in periods of major technological inventions a decline in the relative importance of initial conditions raises inequality enhances mobility and generates a larger concentration of high ability individuals in technologically advanced sectors stimulating future technological progress and growth however once technologies become more accessible mobility is diminished and inequality decreases but becomes more persistent the reduction in the concentration of ability in technologically advanced sectors diminishes the likelihood of technological breakthroughs and slows future growth user friendliness therefore becomes unfriendly to future economic growth copyright 1997 by american economic association

the diffusion of computers and the distribution of wages abstract when the costs are decreasing workers adopt technology at the point where the costs equal the increased productivity output per worker increases immediately while productivity benefits increase only gradually if costs continue to fall as a result workers in computer adopting labor market groups experience an immediate fall in wages due to increased supply on the other hand adopting workers experience wage increases with some delay this model explains why increased computer use does not immediately lead to higher wage inequality more specifically the results of the model are shown to be consistent with the question why within group wage inequality among skilled workers as a result of computer technology adoption in the united states increased in the 1970s while between group wage inequality and within group wage inequality among the unskilled did not start to increase until the 1980s the model also predicts that the more compressed german wage structure leads to a lagged diffusion of computer technology along with smaller changes in wage inequality our empirical analysis suggests that this is consistent with the actual developments in germany since the 1980s finally the theoretical predictions seem to be of the right magnitude to explain the empirical quantities observed in the data

order independent equilibria we study a noncooperative game of coalition formation based on an underlying game in coalitional form we introduce order independent equilibria oie a strategy profile is an oie if for any specification of first movers in the sequential game it remains an equilibrium and leads to the same payoff our results are 1 payoffs in oie that use pure stationary strategies must be in the core of the underlying game in coalitional form 2 if the underlying game has the property that all its subgames have nonempty cores then for each payoff vector there exists an oie with the same payoff journal of economic literature classification numbers c70 c71 c72 c78