A bargaining set for roommate problems

Since stable matchings may not exist, we propose a weaker notion of stability based on the credibility of blocking pairs. We adopt the weak stability notion of Klijn and Massó (2003) for the marriage problem and we extend it to the roommate problem. We first show that although stable matchings may not exist, a weakly stable matching always exists in a roommate problem. Then, we adopt a solution concept based on the credibility of the deviations for the roommate problem: the bargaining set. We show that weak stability is not sufficient for a matching to be in the bargaining set. We generalize the coincidence result for marriage problems of Klijn and Massó (2003) between the bargaining set and the set of weakly stable and weakly efficient matchings to roommate problems. Finally, we prove that the bargaining set for roommate problems is always non-empty by making use of the coincidence result.     

Collective bargaining in 1989: old problems, new issues

Some problems which plagued negotiators throughout the decade continue into the next, and are joined by additional issues such as rising cost of health insurance, family care, and health and safety concerns.     

Implementing the nash extension bargaining solution for non-convex problems

Conley and Wilkie (1993) introduced an axiomatization at the Nash extension bargaining solution defined on a domain of comprehensive but not necessarily convex problems. In this paper we present a non-cooperative game which implements the Nash extension solution in subgame perfect equilibria in the limit as the discount rate applied between rounds of play vanishes.     

Multi-agent bilateral bargaining and the Nash bargaining solution

This paper studies a bargaining model where n   players negotiate how to share a pie through (n−1)$(n-1)$ bilateral bargaining sessions. In each session, two players bargain for a partial agreement that specifies who exits and who moves on to the next session (if there is any) via the alternating-proposal framework of Rubinstein [Rubinstein, A., 1982. Perfect equilibrium in a bargaining model. Econometrica 50, 97–109]. We consider two bargaining procedures under which the subgame perfect equilibrium outcomes converge to the Nash [Nash, J., 1950. The bargaining problem. Econometrica 18, 155–162] bargaining solution for the corresponding bargaining problem as the players’ discount factor goes to one. Hence, the model studied here provides a non-cooperative foundation for the Nash cooperative bargaining solution in the multilateral case.     

Plant-level bargaining in France

Institutionalised bargaining and formal collective agreements at plant level are a rarity in France. However, research shows that some form of unofficial bargaining does take place. Edward Slack illustrates this phenomenon using evidence obtained from a chemical plant and an industrialised dairy in 1974.     

Nash bargaining in ordinal environments

We analyze the implications of Nash’s (Econometrica 18:155–162, 1950) axioms in ordinal bargaining environments; there, the scale invariance axiom needs to be strenghtened to take into account all order-preserving transformations of the agents’ utilities. This axiom, called ordinal invariance, is a very demanding one. For two-agents, it is violated by every strongly individually rational bargaining rule. In general, no ordinally invariant bargaining rule satisfies the other three axioms of Nash. Parallel to Roth (J Econ Theory 16:247–251, 1977), we introduce a weaker independence of irrelevant alternatives (IIA) axiom that we argue is better suited for ordinally invariant bargaining rules. We show that the three-agent Shapley–Shubik bargaining rule uniquely satisfies ordinal invariance, Pareto optimality, symmetry, and this weaker IIA axiom. We also analyze the implications of other independence axioms.     

Trading bargaining weights

We consider a model, in which two agents are engaged in two separate bargaining problems. We introduce a notion of bargaining weights (bargaining power), which is basically given by asymmetric versions of the Perles–Maschler bargaining solution. Thereby, we view bargaining power as ordinary goods that can be traded in an exchange economy. With equal initial endowment of bargaining power there exists a Walrasian equilibrium in this exchange economy such that the utility allocation in equilibrium coincides with the Perles–Maschler bargaining solution of the aggregate bargaining problem. Equilibrium prices are given by the primitives of the two bargaining problems.     

Trading bargaining weights

We consider a model, in which two agents are engaged in two separate bargaining problems. We introduce a notion of bargaining weights (bargaining power), which is basically given by asymmetric versions of the Perles–Maschler bargaining solution. Thereby, we view bargaining power as ordinary goods that can be traded in an exchange economy. With equal initial endowment of bargaining power there exists a Walrasian equilibrium in this exchange economy such that the utility allocation in equilibrium coincides with the Perles–Maschler bargaining solution of the aggregate bargaining problem. Equilibrium prices are given by the primitives of the two bargaining problems.     

Group bargaining in supply chains

Review of Economic Design - We consider a vertical supply chain in which a monopoly retailer produces a good by assembling a number of essential components each of which is owned by a monopoly....     

Wage versus efficient bargaining in oligopoly

This paper combines internal bargaining between firms and their employees with a situation of imperfect competition, in particular a Cournot‐oligopoly. Wage bargaining is compared with simultaneous negotiations on wages and employment (efficient bargaining). It turns out that for a large range of parameter values a prisoner's dilemma concerning profits exists. The dominant strategy is efficient bargaining, while the joint profits are maximized with wage negotiations. A simplified example considers economic welfare and utility of the unions. Different welfare measures are considered like the usual IO measure of consumer and producer surplus as well as others. The term ‘efficient bargaining’ is not justified (at least for the present example) if the profits and the rents of the unions are considered, as these are maximized with wage bargaining. However, consumer and producer surplus are highest with efficient bargaining. Copyright © 2006 John Wiley & Sons, Ltd.     

Commitment and strikes in wage bargaining

This paper analyzes the long-run strategic relationship between a firm and a union as a repeated bargaining game, where there is incomplete information on the player's motivation on both sides and each party has a fall-back position. The firm and the union will engage in a reputation-building activity, that will produce a limited number of strikes over time. The bargainer that succeeds in building up a reputation for toughness and obtains a favorable payoff in the long-run is, either the more patient (or alternatively the more centralized), or the party with a higher initial probability of stubbornness, or the party with a smaller fall-back position. Our model also offers predictions on the dependence of strike incidence over time on several parameters.     

Learning in a multilateral bargaining experiment

This paper analyzes data from an investigation of a majoritarian bargaining experiment. A learning model is proposed to account for the evolution of play in this experiment. It is also suggested that an adjustment must be made to account for the panel structure of the data. Such adjustments have been used in other fields and are known to be important as unadjusted standard errors may be severely biased downward. These results indicate that this adjustment also has an important effect in this application. Furthermore, an efficient estimator that takes into account heterogeneity across players is proposed. A unique learning model to account for the paths of play under two different amendment rules cannot be rejected with the standard estimator with adjusted standard errors, however it can be rejected using the efficient estimator. The data and the estimated learning model suggest that after proposing “fair” divisions, subjects adapt and their proposals change rapidly in the treatment where uneven proposals are almost always accepted. Their beliefs in the estimated learning model are influenced by more than just the most recent outcomes.     

Recent trends in collective bargaining in Nigeria

During the 1970s Nigerian industrial relations moved away from the voluntarist tradition into much greater formalisation of processes and practices. This article describes the present structure and scope of collective bargaining in Nigeria in the light of this development.     

Rationality of bargaining solutions

The aim of this paper is to obtain the rationality of two-person bargaining solutions by imposing usual assumptions in cooperative bargaining theory. In particular, it is proved that the conjunction of Independence of Irrelevant Alternatives and either Pareto Continuity or Strong Monotonicity implies this rationality.     

The changing union and bargaining landscape: union concentration and collective bargaining trends

Unions in Western Europe have tended to merge in larger organisations, straddling across traditional bargaining demarcations. Despite the trend towards union concentration, cross‐national differences remain in the degree of fragmentation and the balance across private and public sectors. In the past years, wage moderation was common to nearly all bargaining systems, partly as a result of coordinated incomes policies or pattern‐setting wage settlements. Tripartite concertation has proven more difficult because of increased dissatisfaction with modest pay increases and insufficient employment effects.     

Collective bargaining in private industry, 1994

In sum, for the last 3 years, bargainers have negotiated wage and compensation increases that have been lower, on average, than those agreed to the last time the same parties met, despite an improving national economy. While negotiators may have been taking their cue from economic conditions specific to their company or industry, rather than from overall economic conditions, the modest changes in compensation under 1994 settlements were similar to the moderate changes in compensation prevailing the economy.     

Centralisation and decentralisation in local government bargaining

The system of pay bargaining in local government has been subjected to conflicting pressures, both from employers and trade unions, since the second half of the 1970s. The author argues that these difficulties will intensify under the increasing financial stress which local government is experiencing.