The averaging mechanism

We consider two-person bargaining games and we assume that the agents want to apply two possibly different bargaining solutions. Problems arise if the allocations chosen by these bargaining solutions do not coincide. We propose a mechanism which mimics a step-by-step bargaining procedure in order to resolve such a conflict and give a characterization of the mechanism.     

Micro Foundations for Wage Flexibility: Wage Insurance at the Firm Level*

To what extent do firms insulate their workers' wages from fluctuations in product markets? Which firm and worker attributes are associated with wage flexibility at the micro level? We first rely on Guiso, Pistaferri and Schivardi (2005) to estimate dynamic models of sales and wages, finding that in Portugal, workers' wages respond to permanent shocks on firm performance, as opposed to transitory shocks. We then explore the factors associated with wage flexibility, finding that collective bargaining and minimum wages are associated with higher wage insurance by the firm, while the threat of firm bankruptcy reduces it. Managers receive less protection against permanent shocks than other workers.     

The impact of bargaining on markets with price takers: Too many bargainers spoil the broth

In this paper we study how bargainers impact on markets in which firms set a list price to sell to those consumers who take prices as given. The list price acts as an outside option for the bargainers, so the higher the list price, the more the firms can extract from bargainers. We find that an increase in the proportion of consumers seeking to bargain can lower consumer surplus overall, even though new bargainers receive a lower price. The reason is that the list price for those who do not bargain and the bargained prices for those who were already bargaining rise: sellers have a greater incentive to make the bargainers’ outside option less attractive, reducing the incentive to compete for price takers. Competition Authority exhortations to bargain can therefore be misplaced. We also consider the implications for optimal seller bargaining.     

Subgame perfection in ultimatum bargaining trees

In typical experiments on ultimatum bargaining, the game is described verbally and the majority of subjects deviate from subgame-perfect behavior. Proposers typically offer significantly more than the minimum possible and Responders reject “unfair” offers. In this work, we show that when the ultimatum bargaining game is presented as an abstract game tree, the vast majority of behavior is consistent with individualistic preferences and subgame-perfection. This finding raises doubts about theories that ignore the potential influence of social context and experiments that do not control for social context.     

THE HIDDEN COST OF BARGAINING: EVIDENCE FROM A CHEATING-PRONE MARKETPLACE

It is widely believed that successful bargaining helps consumers increase their surplus. We present evidence from a field experiment showing that bargaining over price reduces buyer surplus in a marketplace where sellers cheat on the weight whose value may more than offset the price discount. Our results show that bargaining entails hidden costs since sellers cheat significantly more when buyers bargain than not and they cheat significantly more when bargaining succeeds than fails. Overall bargaining reduces buyer surplus than not bargaining. Our result is relevant for credence goods markets where bargaining over prices may induce sellers to “undertreat” more.     

TAXES ON PAYROLL, REVENUES AND PROFITS IN THREE MODELS OF COLLECTIVE BARGAINING

Variations in company taxes are analysed for a right-to-manage model, an efficient bargaining setting and a seniority approach. Taxes cannot be shifted forward by the risk-neutral firm. Alternative income and bargaining power are allowed to vary with taxes. Employing asymmetric Nash solution it is found that changes in a payroll, revenue or profit tax can have differing implications for labour demand curve models and efficient bargaining solutions. This distinction might provide a novel basis for empirical work. Variations in bargaining power and-within a labour demand curve setting-the union's objective function do not change results.     

The Effectiveness of Incomes Policies, in Australia Bargaining and Inflation Targetting Enterprise

This paper updates earlier estimates that show the existence of a range of equilibrium rates of unemployment in Australia. Within the range of equilibria framework, the paper goes on to test the effectiveness of incomes policies, enterprise bargaining and inflation-target based monetary policy for influencing the rate of inflation in Australia in the period 1965 to 2001. Incomes policies, especially the Accord, and enterprise bargaining are shown to have caused permanent reductions in the rate of inflation. The inflation-target based monetary policy is shown to be associated with, but is not shown to have caused, a reduced impact on inflation of changes in the level of activity.     

企业养老保险缴费率、缴费基数与就业效应

本文以上市公司为样本，研究法定养老保险缴费比例变动对企业申报的缴费基数、就业规模等决策的影响和具体机制。在给定监管力度和法律环境下，在法定缴费比例上升时，企业会减小申报基数；反之则增加申报基数。在《劳动合同法》实施后，企业缴费基数是企业与员工共同商量的结果，并且法定缴费比例变动对企业就业规模的影响具有不对称性。在对不同企业类型进行分析后发现：（1）当法定比例降低时，省份社会平均工资水平较低的企业逃费程度降低的幅度大于省份社会平均工资较高的企业。（2）当法定比例上升时，资本密集的企业相比于劳动密集的企业会更多地减少就业规模。（3）当法定比例上升时，非国有企业减少就业规模，而国有企业不会。     

Union–firm bargaining: Order of play and efficiency

This paper shows that a modified alternating offers Rubinstein model can provide a Pareto superior outcome in the context of the right-to-manage union–firm bargaining. Two examples of bargaining protocols that yield a superior outcome are provided. In the first example, the parties engage in a game in which the order of play is determined as part of the bargaining. We show that the game has a unique subgame perfect equilibrium in which the firm always moves first in the wage bargaining game. The equilibrium wage is, therefore, unique. In the second example, we examine a two-part-tariff alternating offers bargaining protocol, where the parties bargain over the wage and transfer payments. We show that this bargaining protocol has a Pareto efficient, unique subgame perfect equilibrium. Thus, although the parties do not bargain over the level of employment, the outcome under this protocol is, nevertheless, socially optimal.     

Wage Bargaining,Privatisation, Ability to Pay and Outside Options: Evidence from Hungary

This article examines the determinants of short-term wage dynamics, using a sample of large Hungarian companies for 1996–99. We test the basic implications of an efficient contract model of bargaining between incumbent employees and managers, which the data do not reject. In particular, there are structural differences between the ownership sectors consistent with our prior knowledge on relative bargaining strength and unionisation measures. Stronger bargaining position of workers leads to higher ability to pay elasticity of wages, and lower outside option elasticity. Our results indicate that while bargaining position of workers in domestic privatised firms may be weaker than in the state sector, the more robust difference relates to state sector workers versus privatised firms with majority foreign ownership.     

Signaling via an agenda in multi-issue bargaining with incomplete information

Summary. While actual bargaining features many issues and decision making on the order in which issues are negotiated and resolved, the typical models of bargaining do not. Instead, they have either a single issue or many issues resolved in some fixed order, typically simultaneously. This paper shows that, when there is incomplete information, such an approach removes an important avenue for information transmission: the bargaining agenda itself. Compared to the standard model, pooling on offers by the informed is reduced and a signaling equilibrium arises when the agenda is determined endogenously. Signaling is carried out by use of an issue-by-issue bargaining agenda. Received: September 3, 1997; revised version: May 11, 1998     

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.     

Household bargaining over fertility: Theory and evidence from Malaysia

We develop and test a model of household bargaining over fertility when transfers between spouses are possible. The model makes precise how the fertility preferences of each spouse translate into fertility outcomes. We show this depends on whether or not spouses can commit to their future actions within marriage. If couples bargain with commitment, fertility outcomes take account of both spouses' fertility preferences and do not depend on the threat point in marital bargaining. If couples bargain without commitment, the influence of each spouse's fertility preference on fertility outcomes depends on the relevant threat point in marital bargaining, and the distribution of bargaining power. We test the models using household data from the Malaysia Family Life Survey. This data set contains information on each spouse's desired fertility level, as well as fertility outcomes. We exploit differences in threat points in marital bargaining across ethnic groups to help identify the underlying bargaining model. The evidence suggests couples bargain without commitment.     

Gamson's Law versus non-cooperative bargaining theory

We compare Gamson's Law, a popular empirical model of legislative bargaining, with two non-cooperative bargaining models in three players divide the dollar games in which no player has enough votes to form a winning coalition on their own. Both of the game theoretic models better organize the comparative static data resulting from changes in nominal bargaining power than does Gamson's Law. We also identify deviations from the point predictions of the non-cooperative bargaining models. Namely, proposer power is not nearly as strong as predicted under the Baron–Ferejohn model, and a significant number of bargaining rounds tend to take more than two steps under demand bargaining and more than one stage under Baron–Ferejohn, counter to the models' predictions. Regressions using the experimental data provide results similar to the field data, but fail to do so once one accounts for predictions regarding coalition composition under Gamson's Law.     

The rate of convergence to perfect competition of matching and bargaining mechanisms

We study the steady state of a market with incoming cohorts of buyers and sellers who are matched pairwise and bargain under private information. A friction parameter is τ, the length of the time period until the next meeting. We provide a necessary and sufficient condition for the convergence of mechanism outcomes to perfect competition at the linear rate in τ, which is shown to be the fastest possible among all bargaining mechanisms. The condition requires that buyers and sellers always retain some bargaining power. The bargaining mechanisms that satisfy this condition are called nonvanishing bargaining power (NBP) mechanisms. Simple random proposer take-it-or-leave-it protocols are NBP, while k-double auctions (k-DA) are not. We find that k-DAs have equilibria that converge to perfect competition at a linear rate, converge at a slower rate or even do not converge at all.     

Permanent and temporary workers in a matching framework

This paper investigates on a theoretical level the underlying causes of recent trends in decision of firms to hire temporary and permanent labour when workers and firms meet through a frictional directed search technology. Temporary workers differ from permanent workers in that they have a lower bargaining weight but look for a permanent job while on the temporary job. The findings are that permanent arrangements are more prevalent the more productive the aggregate production function is, i.e. also in the less productive phases. More efficient matching has an inverse U shaped impact, it first increases the prevalence of temporary arrangements and then decreases it. Bargaining weights have an ambiguous impact.     

THE INTERPLAY OF INEQUALITY AND REFERENCE DEPENDENCE WITH TRUST AN EXPERIMENTAL STUDY

Using a canonical trust game, we investigate whether the inequality of endowment between trustor and trustee and the acquired versus permanent financial state affect trust and trustworthiness. We found that trust and trustworthiness are reference‐dependent and that individuals with permanent financial state receive more trust and are more trustworthy than others. In our experiment, unequal endowments do not significantly affect trust, but trustworthiness increases significantly when the trustor is poorer.     

Independence of the status quo? A weak and a strong impossibility result for social decisions by bargaining

There are several ethical objections to the dependence on the status quo when bargaining mechanisms are applied to problems of collective choice and, in this context, there is also some discussion about how to define the status quo. Can one think of bargaining mechanisms defined for some set of decision problems or of bargaining solutions for special problems that are independent of the status quo? Under which conditions do they exist? What are the crucial properties of the classical bargaining solutions or of bargaining mechanisms on economic environments implying dependence? These questions are answered by two impossibility results. It turns out that the only crucial assumption we search for is the axiom of “Weak Individual Rationality”. We also point out the consequences of our results for the discussion mentioned above.     

A multi-agent bilateral bargaining model with endogenous protocol

People do bargain over how to bargain. We examine the role of individuals’ ability to pursue certain bargaining protocols in a multi-agent bilateral bargaining model. Bargaining protocols are not completely settled, but will emerge endogenously in equilibrium. We show that players’ ability to partially influence bargaining protocols plays a crucial role in determining equilibrium outcomes. When discounting is not too high, there are multiple subgame perfect equilibria, including inefficient ones. As the number of players increases, both the set of discount factors that support multiple equilibrium outcomes and the set of the first proposing player’s equilibrium payoffs expand. The maximum loss of efficiency increases with respect to the discount factor. We would like to thank Hongbin Cai, John Conlon, Andrew Daughety, Taiji Furusawa, Byoung Heon Jun, Akira Okada, Ping Wang, and two anonymous referees for their comments and suggestions. Both authors gratefully acknowledge financial support from the Social Sciences and Humanities Research Council of Canada.     

Prosecutorial Resources, Plea Bargaining, and the Decision to Go to Trial

This article examines the strategic interaction between a defendantand a prosecutor during the plea bargaining process. A four-stagegame of incomplete information is developed where the defendant'sguilt or innocence is private information but the amount ofresources available to the prosecutor is common knowledge. Thebasic result of the article is that equilibrium is semiseparating;the plea offer is accepted by a proportion of the guilty defendantsand is rejected by all of the innocent defendants and the remainingguilty defendants. In this model an increase in the resourcesavailable to the prosecutor increases the proportion of guiltydefendants who accept plea offers. Although the prosecutor isunable to generate complete separation of the guilty and innocentdefendants through the plea bargaining process, prosecutorialresources are beneficial from a societal standpoint.