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Aims to analyse the labour market outcome when there are two unions in the industry, representing heterogeneous workers – imperfect substitutes in production.

Competition between union policies are viewed in terms of both employment and wage strategies. Results for substitutes and complements are inspected. Attention is given to the strategic behaviour of the unions, towards one another and/or the employer side. Cooperation is modelled using the Nash‐maximand approach.

Gathers some notes and enlargements to the standard collective bargaining problem in which unions maximise utility. Extends the framework to model union competition behaviour for jobs and/or employment that reproduces the standard market product analysis of imperfect competition. Focuses on heterogeneous labour.

The analysis concentrates on the case of union duopoly, but can easily be enlarged to the n‐union setting – which is left for further investigation.

A simple analytical example with Stone‐Geary union utility functions and a linear labour demand system is forwarded.

The purpose of this paper is to investigate the impact of fairness concerns of the retailer on the pricing policies of the supply chain partners, their individual profits, and the overall performance of a dual-channel supply chain composed of one manufacturer and one retailer. First, the authors model the dual-channel supply chain under retailer’s fairness concern. Second, the authors derive the optimal pricing policies of the channel members. Third, the authors analyze the effects of retailer’s fairness and bargaining power on the pricing strategies and profit functions of the dual-channel supply chain system.

The authors adopt the manufacturer-led Stackelberg game theoretic framework, where the dominant manufacturer’s pricing decisions are based on the retailer’s pricing decision. The paper considers Nash bargaining solution as the fairness reference point to formulate the utility function of the fair-retailer. The paper uses this approach because it endogenously accounts for the competitive power and cooperative contribution of the channel members when they interact.

The authors find that the retailer’s fairness concerns are not always beneficial for its better performance. If the retailer is moderately sensitive towards its fairness, it will positively influence its performance. However, if the fairness concern becomes too high then it will negatively impact the retailer’s performance because it results in customers’ migration towards direct online channel for buying the products. In addition, if the retailer’s fairness concerns are mild, the manufacturer’s prices will decrease in retailer’s bargaining power, which is opposite otherwise.

The authors use Nash bargaining solution model as the fairness reference in the context of dual-channel supply chain, which is comparatively a recent approach and has been used independently from dual-channel supply chain system.

The basic ideas of Cournot and those who came after him are related to the recent work of Nash and his notion of an “equilibrium point.” It is shown that the Nash equilibrium point incorporates the main contribution of Cournot to the solution of the duopoly problem and that the major criticism that may be made against the Cournot equilibrium may also be made against the Nash equilibrium. It is then indicated to what use this weakness might be put in the study of bargaining.

A Nash bargaining game data envelopment analysis (NBG-DEA) model is proposed to measure the efficiency of dynamic multi-period network structures. This paper aims to propose NBG-DEA model to measure the performance of decision-making units with complicated network structures.

As the proposed NBG-DEA model is a non-linear mathematical programming, finding its global optimum solution is hard. Therefore, meta-heuristic algorithms are used to solve non-linear optimization problems. Fortunately, the NBG-DEA model optimizes the well-formed problem, so that it can be solved by different non-linear methods including meta-heuristic algorithms. Hence, a meta-heuristic algorithm, called particle swarm optimization (PSO) is proposed to solve the NBG-DEA model in this paper. The case study is Industrial Management Institute (IMI), which is a leading organization in providing consulting management, publication and educational services in Iran. The sub-processes of IMI are considered as players where their pay-off is defined as the efficiency of sub-processes. The network structure of IMI is studied during multiple periods.

The proposed NBG-DEA model is applied to measure the efficiency scores in the IMI case study. The solution found by the PSO algorithm, which is implemented in MATLAB software, is compared with that generated by a classic non-linear method called gradient descent implemented in LINGO software.

The experiments proved that suitable and feasible solutions could be found by solving the NBG-DEA model and shows that PSO algorithm solves this model in reasonable central process unit time.

In this chapter, we propose a theoretical assessment of the relationship between unions and investments. We develop a simple model where a firm chooses its investment level anticipating the employee's effort choice and the outcome of wage bargaining. First, and consistently with the holdup view, we find that the union's bargaining power has a negative effect on the accumulation of fixed capital. Second, we show that this negative effect is mitigated by the voice ability of unions to ease the displeasure of exerting effort. Hence, when the voice ability of unions is strong vis-à-vis their bargaining power, the holdup view does not necessarily survive, and unionized firms invest more than their nonunionized competitors.

This paper aims to present various three-level service contracts among the following three participants: a manufacturer, an agent and a customer. The interaction between the aforementioned participants will be modeled using the game theory approach. Under non-cooperative and cooperative games, the optimal sale price, warranty period and warranty price for the manufacturer and the optimal maintenance cost (repair cost) and marketing expenditure for the agent are obtained by maximizing their profits. The satisfaction of the customer is also maximized by being able to choose one of the suggested options from the manufacturer and the agent, based on the risk parameter.

Three-echelon supply chains with marketing and warranty services are studied. Game-theoretic approaches (non-cooperative and cooperative) are presented. The non-cooperative approaches are static (NE) and dynamic (Stakelberg) models. The cooperative approach is related to bargaining models (Nash bargaining games). The authors develop a sensitivity analysis of some parameters and their effect.

Based on the mentioned drawbacks (i.e. lack of a model containing warranty, marketing and pricing), despite their importance, a developed model is proposed in this research to cover one of the research gaps. In addition, main contributions of this paper that differentiate it from the existing papers are regarding inventory, lost sale and lost goodwill, which are significant in the comparison environment. Another advantage of this study is related to the solution approach, the game theory. Twofold of the games theoretical, i.e. cooperative (in three forms) and non-cooperative are considered, because of their importance. Three types of non-cooperative games are presented as follows: Nash equilibrium – each echelon decides respectively and simultaneously; manufacturer-Stackelberg – the manufacturer has more power than the agent and the agent has more power than the customer; and customer-Stackelberg – customer is leader of the agent and the agent is the leader of manufacturer. The involved cooperative game in this paper is the bargaining problem that the participants can determine how to share the additional profits.

In this paper, various three-level service contracts will be presented among the following three participants: a manufacturer, an agent and a customer. The interaction between the aforementioned participants will be modeled using the game theory approach. Under non-cooperative and cooperative games, the optimal sale price, warranty period and warranty price for the manufacturer and the optimal maintenance cost (repair cost) and marketing expenditure for the agent are obtained by maximizing their profits. The satisfaction of the customer is also maximized by being able to choose one of the suggested options from the manufacturer and the agent, based on the risk parameter. Several numerical examples are used to illustrate the models presented in this paper. Finally, the authors develop a sensitivity analysis of some parameters and their effects on the objective functions.

The purpose of this paper is to study the impact of bargaining powers of firms in supply chain coordination. It studies selected aspects of bargaining powers, namely, impatience, breakdown probability and outside options, and uses a bargaining-theoretic approach to analyze surplus allocation in a coordinated supply chain.

This paper proposes one-supplier one-buyer infinite horizon supply chain coordination game, where suppliers and buyers negotiate for the allocation of supply chain surplus arising out of supply chain coordination. Various aspects of the bargaining power of the negotiating parties are modeled and the paper studies impact of power levels on the results of the bargaining game.

A significance of impatience on the bargaining process and the surplus split has been established. This paper also demonstrates a rather counter-intuitive aspect of bargaining that the impatience (as perceived by the other party) can improve the bargaining position and therefore share of profits.

This paper has limited its analysis to three key components of bargaining power. Future works can study other aspects of bargaining power, namely information asymmetry, learning curve, inside options, etc. Further, the paper has considered an infinite horizon model – this assumption can be relaxed in future research.

Equations to derive optimal split of the surplus have been derived and can be leveraged to design an autonomous bargaining agent to discover equilibrium profit splits in a cloud or e-commerce setting. Further, insights from this paper can be leveraged by managers to understand their relative bargaining power and drive to obtain the best profit split.

This paper establishes that impatience (in terms of counter-offer probability) has a significant impact on the bargaining position and on the split of the surplus that the firm can get for themselves. It establishes the advantage of higher levels of impatience, provided the other party recognizes the impatience and factors it in their decision-making process.

According to officially published statistics, there began in the UK during 1979 some 2,080 stoppages of work due to industrial disputes, involving 4.584 million workers and resulting in 29.474 million working days lost (Department of Employment Gazette, 1980, p. 874). The purpose of this article is to summarise some of the main developments which have occurred over recent years in the economic analysis of strike activity and to illustrate some of the insights provided by economic theories of the collective bargaining process and its breakdown. We begin with a brief survey of the literature which provides a discussion of its major findings and of the limitations of existing studies. In subsequent sections, some basic theoretical concepts are introduced and after a brief discussion of some important elements of bargaining theory these are used in the construction of an alternative model of the breakdown of the collective bargaining process and the occurrence of strikes. In the penultimate section, this alternative model is tested against UK data and in the final section the main findings are summarised.

In the context of the trade war in full swing, the global supply chain systems have experienced a serious shock and become very vulnerable. The purpose of this paper is to explore the intertwining effects between the export-supporting subsidy policy and the import-deterring tariff policy to develop better insights for trade policy-making under the intra-industry-trade (IIT) conflicts. The research results may provide the trade policy makers and international businesses with better insights in making rational trade policy and business decisions.

Two-stage game-/bargaining-theoretical models for the dual competing international supply chains with a unilateral/bilateral tariff imposing or subsidy implementing under six different scenarios of IIT conflict are developed, analyzed and compared. On this basis, the corresponding numerical analyses are conducted to assess the impact of the tariff and subsidy policies and derive the trade policy implications and business insights.

The research results indicate that: (1) the bilateral subsidy implementing from both governments is the best policy for all stakeholders in two countries, which would lead to the highest profits, social welfare and consumer surplus than those of the other scenarios; (2) the bilateral tariff imposing of both governments is the worst policy for all stakeholders in two countries, which would lead to the lowest profits, social welfare and consumer surplus than those of the other scenarios; (3) the fair trade scenario without tariff imposing and subsidy implementing turns out to be the second-best trade policy for the governments. Under the World Trade Organization rule and fair-trade principles, the bilateral subsidy policy is not allowed in most of the cases. Thus, adopting a fair-trade policy may be the most appropriate trade policy for two trading countries.

The modeling approach developed for this study is original and innovative due to the following characteristics. First, based on three trade policy alternatives – fair trade, tariff imposing and subsidy implementing – of two generic governments under IIT conflict, nine different combinations of three policy alternatives are defined. Second, excluding the symmetrical combinations, six IIT conflict scenarios under various tariff/subsidy policy pairs ranging from no conflict to high conflict are assumed for two dual competing international supply chains. Third, a novel two-stage game-/bargaining-theoretical modeling approach is applied to investigate the optimal/equilibrium decisions regarding pricing, ordering quantity and their critical economic outcomes for all possible trade policy scenarios. Fourth, this study lays down a research foundation for the future trade conflict study using a game-theoretical modeling approach.