Non-cooperative bargaining and the incomplete informational core

In an exchange economy with incomplete information, the signaling core is defined by the set of state-contingent allocations to which no coalitions object under informational leakage through proposals by informed agents. An objection underlying the signaling core is supported by a sequential equilibrium of an ultimatum bargaining game with an informed proposer. We prove that a stationary sequential equilibrium allocation in a Rubinstein-type sequential bargaining game with a restart rule belongs to the signaling core if the belief of players satisfies a self-selection property.     

International joint ventures and tax competition in an integrated market

The purpose of this paper is two-fold. First, it develops a theoretical model of international joint ventures to suggest a new approach to the determination of profit allocation between the partners in the joint venture. Second, we examine the issue of tax competition between two countries for an international joint venture. We find that even in the absence of any bargaining power for the domestic firms, the foreign firm would like to give up more than half of profits to its partner. Furthermore, the foreign firm would like to locate in a country in which the partner firm is more efficient. We also find, with numerical simulations, that the domestic firm will accept the joint venture if the foreign firm's technology is significantly more superior than its own.     

议价能力变化对家务劳动时间配置的影响——来自中国双收入家庭的经验证据

本文在纳什议价模型基础上,使用来自中国9个省的双收入家庭的调查数据,检验了议价能力变化对家务劳动时间配置的影响。结果发现,议价能力提高将减少本人的家务劳动时间和家务分担比例,并使本人家务劳动时间和家务分担比例对其他因素的弹性增大。议价能力的影响存在明显的性别差异,对男性的效果强于对女性的效果。本文拓展了已有的关于家庭内部时间配置的研究成果,对议价能力的定义和衡量方法做了探讨,并通过实证分析显示出议价能力在家务劳动时间配置上起着不可忽视的作用。     

China's potential future growth and gains from trade policy bargaining: Some numerical simulation results

Numerical simulation analysis of bargaining solutions is little developed in existing literature. In this paper, we use a numerical general equilibrium model which captures China and her major trading partners and examine the outcomes of trade policy bargaining solutions (bargaining over tariffs and financial transfers) over time, and then measure both absolute and relative gains to China from trade bargaining. These measurements are important for policy making. Our simulation results indicate that China's welfare gain from trade bargaining will increase over time if countries keep their present higher GDP growth rates for several decades, but there are major difference when using different bargaining solution concepts. These differences have not been noted in existing literature but have an intuitive explanation. Our results also indicate that if China jointly bargains along with India, Brazil and other developing countries with the OECD, and when we use PPP to adjust China's relative GDP size China's gain will further increase.     

Coalitional bargaining games with random proposers: Theory and application

We consider a non-cooperative coalitional bargaining game with random proposers in a general situation for which players differ in recognition probability and time preference. We characterize an efficient equilibrium as the generalized Nash bargaining solution that belongs to the core. The model is applied to wage bargaining between an employer and multiple workers. Although involuntary unemployment may occur in equilibrium, full employment emerges as players become sufficiently patient.     

研发合作中的产权结构与投资激励

不完全合同背景下,产权分配在参与方的投资决策中至关重要。利用产权理论讨论了研发合作中的序贯投资决策和创新的产权分配问题。研究表明,最优产权结构随着参与方的谈判力变动,谈判力较低的一方单独拥有产权能够平衡其投资积极性;随着投资关系专用性程度的增加,最优产权为联合产权在产品开发者谈判力区间的范围更广。为了提高双方合作效率,可考虑采用由一个产品开发者出价并按照研究单位投资积极性分配初始产权的期权合同。比较分析发现：期权合同能够缓解投资不足问题,并进一步提高双方合作效率。     

The Nash bargaining solution in general n-person cooperative games

We present a noncooperative foundation for the Nash bargaining solution for an n-person cooperative game in strategic form. The Nash bargaining solution should be immune to any coalitional deviations. Our noncooperative approach yields a new core concept, called the Nash core, for a cooperative game based on a consistency principle. We prove that the Nash bargaining solution can be supported (in every subgame) by a stationary subgame perfect equilibrium of the bargaining game if and only if the Nash bargaining solution belongs to the Nash core.     

International joint venture,commitment and host-country policy in an integrated market

To highlight the importance of bargaining power for both host and foreign partners, we envisage two modes, commitment and no-commitment, respectively, to examine the issue on international joint venture (IJV)’s profit-splitting and optimal host-country policy in an integrated market. With a three-stage Nash bargaining model, it turns out that in an integrated market, tax rate under commitment does not exactly equal zero unless the host partner does not benefit at all in terms of production efficiency by the IJV. Government shall subsidize joint venture while the host partner has more bargaining power than the foreign partner. Furthermore, subsidy is the optimal policy under no-commitment.     

The equilibrium of the bargaining game and core convergence theorem on an exchange economy with limited traders

Debreu and Scarf (1963), Hildenbrand (1974), Aumann (1964), Dierker (1975), Bewley (1973), and others have shown that the core of an exchange economy with infinitely many or finitely many traders converges. However, an exchange economy does not always consist of infinitely many or finitely many traders. This note provides proof of the core convergence theorem on an exchange economy with limited traders by a bargaining game methodology. The main contribution of this note is to innovate the equilibrium solution to the bargaining game in the exchange economy. In this note, the concept of common payoff is introduced; in the bargaining game of a coalition on its common payoff, all coalition members will get the same distribution, thus the distribution scheme of the cooperation surplus of the exchange economy is determined. This note shows that the bargaining game among the traders on the distribution of the cooperation surplus will make the pure exchange economy with limited traders converge to the Walrasian equilibrium, all the allocations other than the Walrasian equilibrium will be eliminated from the core of this economy.     

Wage Bargaining Versus Efficiency Wages: A Synthesis

We construct a model integrating the efficiency wage model of Shapiro–Stiglitz (1984) (SS), with an individual wage bargaining model in the Diamond–Mortensen–Pissarides (DMP) tradition where firms and workers form pairwise matches. We show that when workers may threaten to shirk on the job and there is individual wage bargaining, the wage is always higher and employment lower than in either the SS model, or the (appropriately modified) DMP model. When firms determine workers' efforts unilaterally, efforts are set inefficiently low in the SS model. In the bargaining model, effort is higher, and is first best when the worker non–shirking constraint does not bind. The overall equilibrium allocation may then be more or less efficient than in the SS model, but is always less efficient than in a pure bargaining model with no moral hazard.     

Achieving efficiency with manipulative bargainers

Two agents bargain over the allocation of a bundle of divisible commodities. After strategically reporting utility functions to a neutral arbitrator, the outcome is decided by using a bargaining solution concept chosen from a family that includes the Nash and the Raiffa–Kalai–Smorodinsky solutions. When reports are restricted to be continuous, strictly increasing and concave, it has been shown that this kind of “distortion game” leads to inefficient outcomes. We study the distortion game originated when agents are also allowed to claim non-concave utility functions. Contrasting with the previous literature, any interior equilibrium outcome is efficient and any efficient allocation can be supported as an equilibrium outcome of the distortion game. In a similar fashion to the Nash demand game we consider some uncertainty about the opponent's features to virtually implement the Nash bargaining solution.     

A weak bargaining set for contract choice problems

In this paper, we consider the problem of choosing a set of multi-party contracts, where each coalition of agents has a non-empty finite set of feasible contracts to choose from. We call such problems, contract choice problems. The main result in this paper states that every contract choice problem has a non-empty weak bargaining set. The need for such a solution concept which is considerably weaker than the core arises, since it is well-known that even for very simple contract choice problems, the core may be empty. We also show by means of an example that an analog of the bargaining set due to Mas-Colell [Mas-Colell, A., 1989. An equivalence theorem for a bargaining set. Journal of Mathematical Economics 18, 129–139], as well as the natural analog of the bargaining set due to Aumann and Mashler [Aumann, R., Maschler, M., 1964. The bargaining set for cooperative games. In: Dresher, M., Shapley, L., Tucker, A. (Eds.), Advances in Game Theory. Princeton University Press, Princeton, NJ] may be empty for contract choice problems.     

On the Efficiency of Decentralized Exchange with Resale Possibilities

This paper studies decentralized exchange by bilateral matching and bargaining when resale is possible. Decentralized exchange involves the risk that goods and services may be allocated inefficiently; if low-valuation buyers consume while high-valuation buyers do not, then social welfare is reduced. If resale is possible and transaction costs are negligible, we would nevertheless expect an efficient allocation to result from decentralized exchange. This paper suggests that this depends on the nature of the commodity; while the allocation of a durable good will be efficient, the allocation of a "consumable" good need not.     

Demand and supply effects of bargaining power shocks

In times of crisis, social partners may consider a temporary decline in wages as a necessity to maintain employment. This paper studies the opposing demand and supply effects following declining bargaining power of workers in a New-Keynesian model with search and matching in the labour market. Lower labour income reduces aggregate demand in the presence of credit-constrained consumers. The main result is that falling bargaining power contracts output notably when monetary policy is constrained by the zero lower bound or when agents' expectations about the persistence of the shock adjust slowly.     

The least core, kernel and bargaining sets of large games

Summary. We study the least core, the kernel and bargaining sets of coalitional games with a countable set of players. We show that the least core of a continuous superadditive game with a countable set of players is a non-empty (norm-compact) subset of the space of all countably additive measures. Then we show that in such games the intersection of the prekernel and the least core is non-empty. Finally, we show that the Aumann-Maschler and the Mas-Colell bargaining sets contain the set of all countably additive payoff measures in the prekernel. Received: June 6, 1996; revised version: March 1, 1997     

A Risk‐Dominant Allocation: Maximizing Coalition Stability

This paper presents a rule to allocate a coalition’s worth for superadditive games with positive externalities. The allocation rule awards each member their outside payoff, plus an equal share of the surplus. The resulting allocation maximizes coalition stability. Stable coalitions are Strong Nash equilibria since no subset of members has an incentive to leave. Similarly, no subset of non‐members has an incentive to join a stable coalition if the game is concave in this region. The allocation is risk‐dominant. All stable coalitions are robust to the maximum probability of 50% that players’ deviate from their individual best‐responses. The paper compares the allocation to the Shapley value and the Nash bargaining solution, and illustrates why these traditional rules result in small coalitions when applied to issues such as international environmental agreements.     

Gender pairing and bargaining—Beware the same sex!

We study the influence of gender and gender pairing on economic decision making in an experimental two-person bargaining game where the other party’s gender is known to both actors. We find that (1) gender per se has no significant effect on behavior, whereas (2) gender pairing systematically affects behavior. In particular, we observe much more competition and retaliation and, thus, lower efficiency when the bargaining partners have the same gender than when they have the opposite gender. These findings are consistent with predictions from evolutionary psychology. Implications of our results for real-world organizations are discussed.     

On the Least Core and the Mas-Colell Bargaining Set

We show that the least core of a TU coalitional game with a finite set of players is contained in the Mas-Colell bargaining set. This result is extended to games with a measurable space of players in which the worth of the grand coalition is at least that of any other coalition in the game. As a consequence, we obtain an existence theorem for the Mas-Colell bargaining set in TU games with a measurable space of players. Journal of Economic Literature Classification Number: C71.     

Matching markets with price bargaining

The extant microeconomic literature on matching markets assumes ordinal preferences for matches, while bargaining within matches is mostly excluded. Central for this paper, however, is bargaining over joint profits from potential matches. We investigate, both theoretically and experimentally, a seemingly simple allocation task in a 2×2 market with repeated negotiations. When inefficiency is possible, about 1/3 of the complete matches are inefficient and, overall, more than 3/4 of the experimental allocations are unstable. These results strongly contradict existing bargaining theories requiring efficient matches. Even with regard to efficient matches, the tested theories perform poorly. Standard bargaining and behavioral concepts, such as Selten’s (1972) Equal Division Core, are outperformed by the simplistic ε-Equal Split, i.e., an equal split of the joint profit plus/minus ε.     

美元本位与中美货币政策的福利分配——基于新开放经济宏观经济学视角

本文从以中国为代表的外围国家出发,采用新开放经济宏观经济学动态一般均衡的方法,分析了美元本位在中美货币政策福利分配中的影响。结果表明,当外围国家采用扩张性的货币政策时,美元本位导致了汇率传递的不完全,美国作为美元本位的核心国始终能够获得正的福利增量,而外围国家的福利是否增加,受到美元本位程度、消费替代弹性和国家规模等因素的影响。其中,美元本位程度和消费替代弹性主要影响两国福利分配的总量,而国家规模的大小将直接影响两国福利分配的比例。总的来说,中国可以通过推动人民币国际化、提高出口厂商的议价能力以及加强中美国际货币政策合作来减少美元本位带来的福利损失。