a formal model of firm boundaries and haggling this study provides a formal model of williamson s haggling theory in which transacting parties engage in ex post contract renegotiation we show that integration can economize bargaining costs but suffers from too much third party arbitration i e fails in selective intervention

a dynamic theory of collective goods programs a collective goods program such as an entitlement program distributes benefits and costs according to constituents characteristics this paper presents a dynamic theory of the legislative choice of collective goods programs based on a sequential model of proposal making and voting in a majority rule legislature where the status quo in a session is given by the program last enacted a stationary markov perfect equilibrium is characterized for a unidimensional collective goods program and yields a generalized median voter theorem comparative statics on preferences and legislative procedures and a characterization of the dynamics of such programs equilibrium programs can expand or contract over time but they ultimately converge to the median on the path to that point legislators may act strategically to address the durability problem that a future legislature can undo the actions of the present legislature by strategically positioning the status quo to limit the changes that future legislatures can make

bargaining over governments in a stochastic environment in this paper i structurally estimate a stochastic bargaining model of government formation in a multiparty parliamentary democracy and i conduct policy experiments to evaluate the effects of changes in the bargaining procedure i show that the model fits well data on the duration of negotiations and government durations in postwar italy also i show that changes in the proposer selection process would not affect either the duration of negotiations or government durations whereas the imposition of a strict deadline would in general reduce the incentives to delay agreement as well as government durations

uniqueness of stationary equilibrium payoffs in the baron ferejohn model abstract we consider a multilateral sequential bargaining model in which the players may differ in their probability of being selected as the proposer and the rate at which they discount future payoffs for games in which agreement requires less than unanimous consent we characterize the set of stationary subgame perfect equilibrium payoffs with this characterization we establish the uniqueness of the equilibrium payoffs for the case where the players have the same discount factor we show that the payoff to a player is nondecreasing in his probability of being selected as the proposer for the case where the players have the same probability of being selected as the proposer we show that the payoff to a player is nondecreasing in his discount factor journal of economic literature classification numbers c72 c78 d70

coalition and party formation in a legislative voting game we examine a legislative voting game where decisions are being made over both ideological and distributive dimensions and legislators preferences are separable over the two dimensions in equilibrium legislators prefer to make proposals for the two dimensions together rather than offering sequential proposals on the two dimensions separately the equilibria exhibit interaction between the ideological and distributive dimensions and in any equilibrium there is a positive probability that a proposal is made and approved which excludes the median legislator as defined over the ideological dimension in contrast with a game where no distributive decision is being made moreover in any stationary equilibrium there is more than one ideological decision that has a positive probability of being proposed and approved we show that legislators can gain from forming political parties and consider examples where predictions can be made about the composition of parties we discuss the impact of political parties on the outcome

existence of stationary bargaining equilibria abstract this paper addresses the question of existence of stationary markov perfect equilibria in a class of dynamic games that includes many known bargaining models and models of coalition formation general sufficient conditions for existence of equilibria are currently lacking in a number of interesting environments e g models with non convexities consumption lower bounds or an evolving state variable the main result establishes existence of equilibrium under compactness and continuity conditions without the structure of convexity or strict comprehensiveness used in the extant literature the proof requires a precise selection of voting equilibria following different proposals using a generalization of fatou s lemma

predictability and power in legislative bargaining the rules and procedures of legislatures often provide legislators with information bearing on the identities of upcoming proposers for a broad class of legislative bargaining games we establish that markovian equilibria necessarily deliver all economic surplus to the first proposer whenever the information structure permits the legislators to rule out some minimum number of proposers one round in advance this result holds regardless of the recognition process and even if players vary in patience and risk aversion it raises the possibility that procedures adopted in the interest of transparency may contribute to the imbalance of political power

outside options and the failure of the coase conjecture a buyer wishes to purchase a good from a seller who chooses a sequence of prices over time each period the buyer can also exercise an outside option abandoning their search or moving on to another seller we show there is a unique equilibrium in which the seller charges a constant price in every period equal to the monopoly price contravening the coase conjecture we then embed the singleseller model into a search framework and show the result provides a foundation for the usual no haggling assumption jel c78 d42 d43 l12 l13 the coase conjecture is a cornerstone of modern microeconomic theory informing monopoly theory and providing a canonical example of the problem of commitment the idea is that for any given price high value buyers are more likely to purchase than low value buyers leading to negative selection in the demand pool accordingly the seller cuts its price over time causing high value buyers to delay their purchases the seller s inability to commit thus leads its later selves to exert a negative externality on its former selves reducing its overall profit gul sonnenschein and wilson 1986 this idea of negative selection is robust versions of it hold when costs are nonlinear kahn 1986 when goods depreciate over time bond and samuelson 1984 when there is entry of new buyers sobel 1991 and when the buyers face future competition fuchs and skrzypacz 2010 in this article we show that the coase conjecture fails in a natural environment where buyers have an outside option they can choose to exercise we consider a seller who faces a buyer or a continuum of buyers with unknown value for the good and unknown outside option each period the seller chooses price p t the buyer then chooses to buy wait or exercise his option and terminate the game the outside option may come from the possibility of buying another product for example when waiting for the price of the iphone to fall a customer could instead buy a comparable phone from a competitor similarly when bargaining over the price of a car a buyer may abandon negotiations and move on to the next dealer the outside option may also come from pursuing other objectives once the negotiation has terminated for example after he finishes bargaining at a bazaar a tourist could start seeing local attractions

bargaining in legislatures bargaining in legislatures is conducted according to formal rules specifying who may make proposals and how they will be decided legislative outcomes depend on those rules and on the structure of the legislature although the social choice literature provides theories about voting equilibria it does not endogenize the formation of the agenda on which the voting is based and rarely takes into account the institutional structure found in legislatures in our theory members of the legislature act noncooperatively in choosing strategies to serve their own districts explicitly taking into account the strategies members adopt in response to the sequential nature of proposal making and voting the model permits the characterization of a legislative equilibrium reflecting the structure of the legislature and also allows consideration of the choice of elements of that structure in a context in which the standard institution free model of social choice theory yields no equilibrium

political selection and persistence of bad governments we study dynamic selection of governments under different political institutions with a special focus on institutional flexibility a government consists of a subset of the individuals in the society the competence level of the government in office determines collective utilities e g by determining the amount and quality of public goods and each individual derives additional utility from being part of the government e g rents from holding office we characterize the dynamic evolution of governments and determine the structure of stable governments which arise and persist in equilibrium in our model perfect democracy where current members of the government do not have veto power over changes in governments always leads to the emergence of the most competent government however any deviation from perfect democracy to any regime with incumbency veto power destroys this result there is always at least one other less competent government that is also stable and can persist forever and even the least competent government can persist forever in office we also show that there is a nonmonotonic relationship between the degree of incumbency veto power and the quality of government in contrast in the presence of stochastic shocks or changes in the environment a regime with less incumbency veto power has greater flexibility and greater probability that high competence governments will come to power this result suggests that a particular advantage of democratic regimes with a limited number of veto players may be their greater adaptability to changes rather than their performance under given conditions finally we show that royalty like dictatorships may be more successful than junta like dictatorships because in these regimes veto players are less afraid of change

bargaining in standing committees with an endogenous default committee voting has mostly been investigated from the perspective of the standard baron ferejohn model of bargaining over the division of a pie in which bargaining ends as soon as the committee reaches an agreement in standing committees however existing agreements can be amended this article studies an extension of the baron ferejohn framework to a model with an evolving default that reflects this important feature of policymaking in standing committees in each of an infinite number of periods the ongoing default can be amended to a new policy which is in turn the default for the next period the model provides a number of quite different predictions i from a positive perspective the key distinction turns on whether the quota is less than unanimity in that case patient enough players waste substantial shares of the pie each period and the size principle fails in some pure strategy markov perfect equilibria in contrast the unique markov perfect equilibrium payoffs in a unanimity committee coincide with those in the corresponding baron ferejohn framework ii if players have heterogeneous discount factors then a large class of subgame perfect equilibria including all markov perfect equilibria are inefficient

the power of the last word in legislative policy making we examine legislative policy making in institutions with two empirically relevant features agenda setting occurs in real time and the default policy evolves we demonstrate that these institutions select condorcet winners when they exist provided a sufficient number of individuals have opportunities to make proposals in policy spaces with either pork barrel or pure redistributional politics where a condorcet winner does not exist the last proposer is effectively a dictator or near dictator under relatively weak conditions

foundations of dynamic monopoly and the coase conjecture subgame perfect equilibria are characterized for a market in which the seller quotes a price each period assume zero costs positive interest rate continuum of buyers and some technical conditions if buyers valuations are positive then equilibrium is unique buyers strategies are stationary and the price sequence is determinant along the equilibrium path but possibly randomized elsewhere otherwise a continuum of stationary equilibria can exist but at most one with analytic strategies coase s conjecture is verified for stationary strategies reducing the period length drives all prices to zero or the least valuation connections to bargaining models are described journal qf economic literature classification

elections coalitions and legislative outcomes predictions of electoral behavior in a multiparty setting should be a function of the voters beliefs about how parties will perform following an election similarly party behavior in a legislature should be a function of electoral promises and rewards we develop a multistage game theoretic model of three party competition under proportional representation the final policy outcome of the game is generated by a noncooperative bargaining game between the parties in the elected legislature this game is essentially defined by the vote shares each party receives in the general election and the parties electoral policy positions at the electoral stage parties and voters are strategic in that they take account of the legislative implications of any electoral outcome we solve for equilibrium electoral positions by the parties and final policy outcomes

a structural model of government formation in this paper we estimate a bargaining model of government formation in parliamentary democracies we use the estimated structural model to conduct constitutional experiments aimed at evaluating the impact of institutional features of the political environment on the duration of the government formation process the type of coalitions that form and their relative stability

alternating bid bargaining with a smallest money unit abstract in a seminal paper ariel rubinstein has shown that impatience implies determinateness of the two person bargaining problem in this note we show that this result depends also on the assumption that the set of alternatives is a continuum if the pie can be divided only in finitely many different ways for example because the pie is an amount of money and there is a smallest money unit any partition can be obtained as the result of a subgame perfect equilibrium if the time interval between successive offers is sufficiently small we also show that for a fixed discount rate all subgame perfect equilibrium payoffs of the discrete game converge to the solution obtained by rubinstein if the smallest money unit tends to zero

reputational bargaining with minimal knowledge of rationality two players announce bargaining postures to which they may become committed and then bargain over the division of a surplus the share of the surplus that a player can guarantee herself under first order knowledge of rationality is determined as a function of her probability of becoming committed as is the bargaining posture that she must announce in order to guarantee herself this much this maxmin share of the surplus is large relative to the probability of becoming committed e g it equals 30 if the commitment probability is 1 in 10 and equals 13 if the commitment probability is 1 in 1000 and the corresponding bargaining posture simply demands this share plus compensation for any delay in reaching agreement

a bargaining model of collective choice we present a general model of legislative bargaining in which the status quo is an arbitrary point in a multidimensional policy space in contrast to other bargaining models the status quo is not assumed to be bad and delay may be pareto efficient we prove existence of stationary equilibria the possibility of equilibrium delay depends on four factors risk aversion of the legislators the dimensionality of the policy space the voting rule and the possibility of transfers across districts if legislators are risk averse if there is more than one policy dimension and if voting is by majority rule for example then delay will almost never occur in one dimension delay is possible if and only if the status quo lies in the core of the voting rule and then it is the only possible outcome this core selection result yields a game theoretic foundation for the well known median voter theorem our comparative statics analysis yield two noteworthy insights i if the status quo is close to the core t hen equilibrium policy outcomes will also be close to the core a moderate status quo produces moderate policy outcomes and ii if legislators are patient then equilibrium proposals will be close to the core legislative patience leads to policy moderation

recognition without replacement in legislative bargaining abstract this paper studies infinite horizon sequential bargaining among n 3 players in which a proposer is randomly selected from the pool of potential proposers if the proposal is rejected the current and previous proposers are excluded from the pool of potential proposers and the game moves on to the next round until every player has had the same number of opportunities to be the proposer to analyze the model with a particular time dependency within each sequence of n rounds a cycle i characterize the stationary equilibrium of a stochastic game which i call cycle stationary subgame perfect cssp equilibrium the cssp equilibrium is unique in payoffs and analogous to the subgame perfect equilibrium of some forms of finite horizon bargaining even when every player is entirely patient the proposer s share in the cssp equilibrium is smaller than that predicted by the stationary equilibrium of the baron ferejohn legislative bargaining model

public vs private offers in the market for lemons we study the role of observability in bargaining with correlated values short run buyers sequentially submit offers to one seller when previous offers are observable bargaining is likely to end up in an impasse in contrast when offers are hidden agreement is always reached although with delay

inefficiency in legislative policymaking a dynamic analysis this paper develops an infinite horizon model of public spending and taxation in which policy decisions are determined by legislative bargaining the policy space incorporates both productive and distributive public spending and distortionary taxation the productive spending is investing in a public good that benefits all citizens e g national defense and the distributive spending is district specific transfers e g pork barrel spending investment in the public good creates a dynamic linkage across policymaking periods the analysis explores the dynamics of legislative policy choices focusing on the efficiency of the steady state level of

bargaining without a common prior an immediate agreement theorem in sequential bargaining models without outside options each player s bargaining power is ultimately determined by which player will make an offer and when this paper analyzes a sequential bargaining model in which players may hold different beliefs about which player will make an offer and when excessive optimism about making offers in the future can cause delays in agreement the main result states that despite this if players will remain sufficiently optimistic for a sufficiently long future then in equilibrium they will agree immediately this result is also extended to other canonical models of optimism

bargaining with imperfect commitment abstract we study the effect of imperfect commitment in noncooperative two person bargaining games by establishing the reputation for being stubborn a player sometimes commits to her initial demand becoming unable to change her demands or to accept an inferior offer from her opponent when the probability of being stubborn is small the set of equilibria is shown to be small and agreement may be reached immediately despite the possibility of stubbornness a player has greater bargaining power when she is more patient and or is more likely to be stubborn journal of economic literature classification number c78

uniqueness of stationary equilibrium payoffs in coalitional bargaining we study a model of sequential bargaining in which in each period before an agreement is reached the proposer s identity is randomly determined the proposer suggests a division of a pie of size one each other agent either approves or rejects the proposal and the proposal is implemented if the set of approving agents is a winning coalition for the proposer the theory of the fixed point index is used to show that stationary equilibrium expected payoffs of this coalitional bargaining game are unique this generalizes eraslan 34 insofar as a there are no restrictions on the structure of sets of winning coalitions b different proposers may have different sets of winning coalitions c there may be a positive probability that no proposer is selected

tough negotiations bilateral bargaining with durable commitments abstract we offer a tractable model of tough negotiations and delayed agreement the setting is an infinite horizon bilateral bargaining game in which negotiators can make strategic commitments to durable offers commitments decay stochastically but uncommitted negotiators can make new commitments the game s unique markov perfect equilibrium outcome takes the form of a war of attrition negotiators initially commit to incompatible offers but agreement occurs once a negotiator s commitment decays if commitments decay more quickly the terms of the agreement become more equal in expectation more patient committed and less risk averse negotiators obtain a larger fraction of the surplus

proposal rights and political power in a canonical model of sequential collective bargaining over a divisible good we show that equilibrium expected payoffs are not restricted by players voting rights or their impatience for all monotonic voting rules and discount factors and for all divisions of the good among players there exists a stationary proposal making rule such that this division represents players expected payoffs in a stationary subgame perfect nash equilibrium in pure strategies the result highlights the significance of proposal rights in determining political power in collective deliberations t he purpose of this article is to further our understanding of political power in a committee environment we consider the problem of a group of two or more agents who must split a fixed divisible good agents cannot use physical force to divide this good our goal is to clarify the role and relative significance of other features of the political environment such as voting rights proposal rights agents patience etc in determining political power following shapley and shubik 1954 we gauge political power in terms of expected outcomes rather than a priori equate it with individual prerogatives 1 in that spirit political power is the share of the divisible good that agents can expect to obtain when their behavior conforms to an appropriately defined equilibrium notion 2 we model committee interaction using a canonical sequential bargaining game in each period a member of the committee is recognized with some probability that is fixed across periods and proposes a division of the good committee members then vote on the proposal if the proposal is approved in accordance with the underlying voting rule the proposed division is implemented and the

dynamic stability and reform of political institutions abstract this paper examines endogenous institutional change in a class of dynamic political games the political aggregation rules used at date t 1 are instrumental choices under rules at date t effectively rules are players who can strategically delegate future policy making authority to different rules a political rule is stable if it selects itself a reform occurs when an alternative rule is selected the stability of a political rule is shown to depend on whether its choices are dynamically consistent for instance simple majority rules can be shown to be dynamically consistent in many common environments where wealth weighted voting rules are not the result extends to political rules that incorporate private activities such as extra legal protests threats or private investment the approach is one way of understanding various explanations of institutional change proposed in the literature a parametric model of public goods provision gives an illustration

presidential pork executive veto power and distributive politics mitigated to the extent that the president prefers spending in some districts over others the model also generates new insights and predictions about fiscal policy under the separation of powers including the effects of divided government electoral rules and term limitations for the executive

gambling reputation repeated bargaining with outside options we study the role of incomplete information and outside options in determining bargaining postures and surplus division in repeated bargaining between a long run player and a sequence of short run players the outside option is not only a disagreement point but reveals information privately held by the long run player in equilibrium the uninformed short run players offers do not always respond to changes in reputation and the informed long run player s payoffs are discontinuous the long run player invokes inefficient random outside options repeatedly to build reputation to a level where the subsequent short run players succumb to his extraction of a larger payoff but he also runs the risk of losing reputation and relinquishing bargaining power we investigate equilibrium properties when the discount factor goes to 1 and when the informativeness of outside options diffuses in both cases bargaining outcomes become more inefficient and the limit reputation building probabilities are interior publication abstract

bargaining foundations of the median voter theorem abstract we give a game theoretic foundation for the median voter theorem in a one dimensional bargaining model based on baron and ferejohn s d baron j ferejohn bargaining in legislatures amer polit sci rev 83 1989 1181 1206 model of distributive politics we prove that as the agents become arbitrarily patient the set of proposals that can be passed in any pure strategy subgame perfect equilibrium collapses to the median voter s ideal point while we leave the possibility of some delay we prove that the agents equilibrium continuation payoffs converge to the utility from the median so that delay if it occurs is inconsequential we do not impose stationarity or any other refinements our result counters intuition based on the folk theorem for repeated games and it contrasts with the known result for the distributive bargaining model that as agents become patient any division of the dollar can be supported as a subgame perfect equilibrium outcome

a three player dynamic majoritarian bargaining game this file contains two sets of calculations first we report the calculations of demands and continuation values of proposition 1 second the mixing probabilities of proposition 1 are shown to be well defined

voting and vetoing the consequences of veto power in committees is analyzed using the appro ach of noncooperative bargaining theory it is first shown that in equilibrium nonveto players do not share in the benefits gained by the decision making of the committee that is in every equilibrium outcome of the bargaining game nonveto players earn zero some measures for reducing the excessive power of veto members in committees are analyzed specifically i study the effects of imposing a deadline on negotiations and of expanding the committee by increasing the number of nonveto players quantitative results are given for the case of the un security council

on the convergence to the nash bargaining solution for action dependent bargaining protocols we consider a non cooperative multilateral bargaining game and study an action dependent bargaining protocol that is the probability with which a player becomes the proposer in a round of bargaining depends on the identity of the player who previously rejected an important example is the frequently studied rejector becomes proposer protocol we focus on subgame perfect equilibria in stationary strategies which are shown to exist and to be efficient equilibrium proposals do not depend on the probability to propose conditional on the rejection by another player we consider the limit as the bargaining friction vanishes in case no player has a positive probability to propose conditional on his rejection each player receives his utopia payoff conditional on being recognized otherwise equilibrium proposals of all players converge to a weighted nash bargaining solution where the weights are determined by the probability to propose conditional on one s own rejection

waiting to persuade i analyze a sequential bargaining model in which players are optimistic about their bargaining power measured as the probability of making offers but learn as they play the game i show that there exists a uniquely predetermined settlement date such that in equilibrium the players always reach an agreement at that date but never reach one before it given any discount rate if the learning is sufficiently slow the players agree immediately i show that for any speed of learning the agreement is delayed arbitrarily long provided that the players are sufficiently patient therefore although excessive optimism alone cannot cause delay it can cause long delays if the players are expected to learn

bargaining reputation and competition this paper addresses the question of whether playing the tough bargainer is a useful strategy for rational negotiators in competitive environments the unique equilibrium outcome of a continuous time multilateral bargaining game between a single seller and two buyers i e a three player war of attrition game show that it does not benefit the buyers the long side of the market if the probability of obstinacy is constant and independent of the initial demands this result is robust in the sense that the buyers heterogeneity about their flexibility does not weaken the intensity of the competition when the seller decides which buyer to negotiate first he not only chooses his bargaining partner but also picks his outside option the seller can strengthen his bargaining position against both buyers by picking the unattractive buyer who is greedier or tougher than the other buyer first and by leaving the attractive buyer aside because he starts the sequel with a strong outside option

a dynamic theory of public spending taxation and debt this paper presents a dynamic political economy theory of public spending taxation and debt policy choices are made by a legislature consisting of representatives elected by geographically defined districts the legislature can raise revenues via a distortionary income tax and by borrowing these revenues can be used tofinance a national public good and district specific transfers interpreted as pork barrel spending the value of the public good is stochastic reflecting shocks such as wars or natural disasters in equilibrium policy making cycles between two distinct regimes business as usual in which legislators bargain over the allocation of pork and responsible policy making in which policies maximize the collective good transitions between the two regimes are brought about by shocks in the value of the public good in the long run equilibrium tax rates are too high and too volatile public good provision is too low and debt levels are too high in some environments a balanced budget requirement can improve citizen welfare

sorting by foot travel for local public goods and equilibrium stratification we re examine tiebout s hypothesis of endogenous sorting in a competitive spatial equilibrium framework by considering both income and preference heterogeneity and by allowing agents to decide endogenously the number of visits to a travel for local public good the equilibrium configuration may be completely segregated incompletely segregated or completely integrated depending on relative market rents and income preference local tax parameters a segregated equilibrium may feature endogenous sorting purely by income or by both income and preferences while the rich need not be closer to the local public facility site multiple equilibria may arise when the equilibrium configuration is incompletely segregated jel classification d50 h41 classification par deplacement biens publics locaux accessibles par deplacement et stratification d equilibre les auteurs reexaminent l hypothese de tiebout de classification endogene dans un cadre d equilibre spatial concurrentiel en tenant compte a la fois de l heterogeneite des revenus et des preferences ainsi qu en permettant aux agents de decider de maniere endogene du nombre de visites pour se procurer un bien public local par deplacement il peut s ensuivre des equilibres de segregation complete de segregation incomplete ou d integration complete selon les rentes relatives et les parametres de revenus de preferences ou de fiscalite locale un equilibre de segregation peut entrainer une classification endogene sur la base seulement des revenus ou sur la base des revenus et des preferences alors que les riches n ont pas besoin d etre plus proches du site du bien public local des equilibres multiples peuvent surgir quand la configuration d equilibre en est une de segregation incomplete

commitment and conflict in bilateral bargaining building on crawford 1982 we study a model of bilateral bargaining in which negotiators can make binding commitments at a low positive cost c our primary solution concept is iterated strict dominance if commitment attempts never fail there are three solutions in two solutions all the surplus goes to one player in the third solution there is a high probility of con ict if commitment attempts succeed with probability q 1 the unique solution entails con ict with probability q 2 when c 0 analogous results hold if the requirement of iterated strict dominance is replaced by iterated weak dominance

bargaining and reputation in search markets in a two sided search market agents are paired to bargain over a unit surplus the matching market serves as an endogenous outside option for a bargaining agent behavioral agents are commitment types that demand a constant portion of the surplus the frequency of behavioral types is determined in equilibrium even if the frequency of behavioral types is negligible they aect the terms of trade and eciency in an unbalanced market where the entering

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

on dynamic compromise abstract most legislatures require the consent of only a simple majority to pass a proposal so why don t legislative outcomes favor only a bare majority we show that compromise can be achieved if legislators are neither too impatient nor too patient and initial allocations are not too unequal the compromise is only sustainable if starting from the unequal allocations there is a possibility of spiraling towards a complete absence of compromise we find that the range of discount factors for which the equilibrium exists increases as the number of legislators increases in this sense compromise is easier in larger legislatures

a theory of bargaining deadlock abstract i study a dynamic one sided offer bargaining model between a seller and a buyer under incomplete information the seller knows the quality of his product while the buyer does not during bargaining the seller may receive an outside option the value of which depends on the quality of the product if the outside option is sufficiently important there is an equilibrium in which the buyer s belief about the product s quality stays constant and she continues to make the same randomized offer throughout the bargaining process as a result the equilibrium behavior produces an outcome path that resembles a bargaining deadlock and its resolution the equilibrium outcome exhibits bargaining delay that does not vanish even with frequent offers and the limiting delay may exist even without a static adverse selection problem under stronger parametric assumptions the equilibrium with deadlock is the only one in which behavior is monotonic in the buyer s belief

proposal power and majority rule in multilateral bargaining with costly recognition this paper studies a sequential bargaining model in which agents expend efforts to be the proposer in equilibrium agents effort choices are influenced by the prize and cost effects the endogenous prize is 9

bargaining with revoking costs abstract a simple two stage bilateral bargaining game is analyzed the players simultaneously demand shares of a unit size pie if the demands add up to more than one the players simultaneously choose whether to stick to their demand or accept the other s offer while both parties sticking to their offers leads to an impasse accepting a lower share than the original demand is costly for each party the set of pure strategy subgame perfect equilibria of the game is characterized for continuously differentiable payoff and cost functions strictly increasing in the pie share and the amount conceded respectively higher cost functions are shown to improve bargaining power the limit equilibrium prediction of the model as the cost functions are made arbitrarily high selects a unique equilibrium in the nash demand game that corresponds to a proportional bargaining solution of kalai 1977

bargaining reputation and equilibrium selection in repeated games with contracts consider a two person intertemporal bargaining problem in which players choose actions and offers each period and collect payoffs as a function of that period s actions while bargaining proceeds this can alternatively be viewed as an infinitely repeated game wherein players can offer one another enforceable contracts that govern play for the rest of the game theory is silent with regard to how the surplus is likely to be split because a folk theorem applies perturbing such a game with a rich set of behavioral types for each player yields a specific asymptotic prediction for how the surplus will be divided as the perturbation probabilities approach zero behavioral types may follow nonstationary strategies and respond to the opponent s play in equilibrium rational players initially choose a behavioral type to imitate and a war of attrition ensues how much should a player try to get and how should she behave while waiting for the resolution of bargaining in both respects she should build her strategy around the advice given by the nash bargaining with threats nbwt theory developed for two stage games in any perfect bayesian equilibrium she can guarantee herself virtually her nbwt payoff by imitating a behavioral type with the following simple strategy in every period ask for and accept nothing less than that player s nbwt share and while waiting for the other side to concede take the action nash recommends as a threat in his two stage game the results suggest that there are forces at work in some dynamic games that favor certain payoffs over all others this is in stark contrast to the classic folk theorems to the further folk theorems established for repeated games with two sided reputational perturbations and to the permissive results obtained in the literature on bargaining with payoffs as you go

on the role of outside options in bargaining with obstinate parties the presence of obstinate types in bargaining has been shown to alter dramatically the bargaining equilibrium strategies and outcomes this paper shows that outside options may cancel out the effect of obstinacy in bargaining when parties have access to stationary outside options we show that when opting out is preferable to accepting the inflexible demand of the other party there is a unique perfect bayesian equilibrium in which each party reveals himself as rational as soon as possible a similar conclusion holds when outside options may only be available at a later date or when only one party has access to an outside option

demand competition and policy compromise in legislative bargaining i propose a new majoritarian bargaining model in which more than one implicit proposal can be on the table at the same time institutional differences from system to system affect the order of play the equilibrium majorities and the policy outcome the ex post distribution of payoffs within a winning coalition is however invariant to fundamental institutional differences and it is always proportional to the distribution of relative ex ante bargaining power the bargaining process is modeled as a sequential demand game in which players are called to propose a policy and to specify their desired share of the private benefits related to being in office the order of play is endogenous and the distribution of payoffs within an equilibrium majority usually does not depend on who is the proposal maker the role of the head of state and the advantages to center parties are also studied

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 unique solution to n person sequential bargaining abstract rubinstein s two person sequential bargaining model yields a unique subgame perfect equilibrium this uniqueness result does not hold with three or more persons based on greenberg s theory of social situations uniqueness is here offered as follows assume a player can profitably reject a suggested path at one of his decision nodes by suggesting a new one to later players if by doing so he gains more than e a path is acceptable of and only if no player can profitably reject it by suggesting another acceptable path it is shown that only the stationary division is acceptable for any e 0

efficient use of information and social value of information this paper analyzes equilibrium and welfare for a tractable class of economies games that have externalities strategic complementarity or substitutability and heterogeneous information first we characterize the equilibrium use of information complementarity heightens the sensitivity of equilibrium actions to public information raising aggregate volatility whereas substitutability heightens the sensitivity to private information raising cross sectional dispersion next we define and characterize an efficiency benchmark designed to address whether the equilibrium use of information is optimal from a social perspective the efficient use of information reflects the social value of aligning choices across agents finally we examine the comparative statics of equilibrium welfare with respect to the information structure the social value of information is best understood by classifying economies according to the inefficiency if any in the equilibrium use of information we conclude with a few applications including production externalities beauty contests business cycles and large cournot and bertrand games

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

legislative bargaining with reconsideration we present a dynamic model of legislative bargaining with an endogenously evolving default policy and a persistent agenda setter policy making proceeds until the agenda setter can no longer pass a new policy to replace an approved bill we prove existence and necessary conditions of pure strategy stationary equilibria for any finite policy space any number of players and any preference profile in equilibrium the value of proposal power is limited compared to the case that disallows reconsideration as voters are induced to protect each other s benefits to maintain their future bargaining positions the agenda setter in turn would prefer to limit his ability to reconsider the lack of commitment due to the possibility of reconsideration however enhances policy efficiency

legislative bargaining and coalition formation abstract the finite horizon version of d p baron and j ferejohn s 1989 amer polit sci rev 83 1181 1206 legislative bargaining model is investigated with three or more periods a continuum of divisions is supportable as subgame perfect equilib ria there exist equilibria where coalitions larger than a minimal winning coalition receive strictly positive shares with sufficiently patient players and a sufficiently long horizon any interior distribution is supportable as an equilibrium in contrast a generic uniqueness result applies when introducing heterogenous time preferences the unique backwards induction equilibrium in the perturbed game is nonstationary and neither the original symmetric nor the perturbed game provides guidance for equilibrium selection in the infinite game journal of economic literature classification numbers c73 c78 d72 d78 h49

reputation and equilibrium selection in games with a patient player a single long run player plays a simultaneous move stage game against a sequence of opponents who play only once but observe all previous play let the stackelberg strategy be the pure strategy to which the long run player would most like to commit himself if there is positive prior probability that the long run player will always play the stackelberg strategy then his payoff in any nash equilibrium exceeds a bound that converges to the stackelberg payoff as his discount factor approaches one when the stage game is not simultaneous move this result must be modified to account for the possibility that distinct strategies of the long run player are observationally equivalent

estimating the value of proposal power this paper investigates the role of proposal power in the allocation of transportation projects across u s congressional districts in 1991 and 1998 the evidence supports the key qualitative prediction of legislative bargaining models members with proposal power those sitting on the transportation authorization committee secure more project spending for their districts than do other representatives support for the quantitative restrictions on the value of proposal power is more mixed i then empirically address several alternative models of legislative behavior including partisan models informational roles for committees models with appropriations committees and theories of committees as preference outliers

indeterminacy of reputation effects in repeated games with contracts abstract we study whether allowing players to sign binding contracts governing future play leads to reputation effects in repeated games with long run players we proceed by extending the analysis of abreu and pearce 2007 by allowing for the possibility that different behavioral types may not be immediately distinguishable from each other given any prior over behavioral types we construct a modified prior with the same total weight on behavioral types and a larger support under which almost all efficient feasible and individually rational payoffs are attainable in perfect bayesian equilibrium thus whether reputation effects emerge in repeated games with contracts depends on details of the prior distribution over behavioral types other than its support

reputational bargaining and deadlines i highlight how reputational concerns provide a natural explanation for deadline effects the high frequency of deals prior to a deadline in bargaining rational agents imitate the demands of obstinate behavioral types and engage in brinkmanship in the face of uncertainty about the deadline s arrival i also identify how surplus is divided when the prior probability of behavioral types is vanishingly small if behavioral types are committed to fixed demands outcomes converge to the nash bargaining solution regardless of agents respective impatience if behavioral types can adopt more complex demand strategies outcomes converge to the solution of an alternating offers game without behavioral types for the deadline environment

recognition for sale abstract i examine the consequences of letting players compete for bargaining power in a multilateral bargaining game in each period the right to propose an offer is sold to the highest bidder and all players pay their bids if players vote according to any rule in which no player has veto power then the first proposer captures the entire surplus if a full consensus is needed for an offer to be accepted then the first proposer shares the surplus with at most one other player and as the period length between offers vanishes one player may capture virtually the entire surplus in settings with a stochastic or an endogenous surplus players are unwilling to efficiently delay agreement or invest in the surplus

waiting to settle multilateral bargaining with subjective biases abstract we study multilateral bargaining games where agents disagree over their bargaining power we show that if agents are extremely optimistic there may be costly delays in an arbitrarily long finite game but if optimism is moderate all sufficiently long games end in immediate agreement we show that the game with extreme optimism is highly unstable in the finite horizon and we examine the ramifications of this instability on the infinite horizon problem finally we consider other voting rules and show that the majority rule may be more efficient than the unanimity rule when agents are optimistic