Non-cooperative and cooperative policy reforms under uncertainty and spillovers

When countries need to implement costly economic policy reforms, these often imply uncertainties about their effectiveness for the home country and their spillovers to other countries. We develop a model to show that under these circumstances countries implement too few or too many policy reforms. From a social perspective, too many reforms follow if the spillover effects of reforms become sufficiently uncertain. Since centralization of policies to correct inefficient policies is often not possible, we look for alternative instruments that can restore the efficient level of reforms. We compare subsidizing reform efforts with insuring against bad outcomes, and argue that subsidies are advantageous in terms of requiring less information for implementation.     

Noncooperative versus cooperative R&D with endogenous spillover rates

This paper deals with a general version of a two-stage model of R&D and product market competition. We provide a thorough generalization of previous results on the comparative performance of noncooperative and cooperative R&D, dispensing in particular with ex-post firm symmetry and linear demand assumptions. We also characterize the structure of profit-maximizing R&D cartels where firms competing in a product market jointly decide R&D expenditure, as well as internal spillover, levels. We establish the firms would essentially always prefer extremal spillovers, and within the context of a standard specification, derive conditions for the optimality of minimal spillover.     

Non-cooperative solutions for estate division problems

In an estate division problem an estate has to be divided among several players whose total entitlement to the estate exceeds its size. This paper extends the non-cooperative approach through a claim game, as initiated by O?Neill (1982), by allowing players to put multiple claims on the same part of the estate, and by considering the case where individual entitlements may exceed the estate. A full characterization of the set of Nash equilibria of the claim game is obtained both for restricted estate division problems, where individual entitlements do not exceed the estate, and for the general case. Variations on the claim game are considered, which result in proportional division in equilibrium.     

Non-cooperative vs. Minimum-Rate Commodity Taxation

This paper demonstrates, within a simple two-country model of commodity taxation and cross-border shopping, that the tax revenue (welfare) effects of a minimum tax requirement depend crucially on the character of the initial non-cooperative tax equilibrium, i.e. whether it is Nash or Stackelberg.     

A Non-cooperative Approach to Bankruptcy Problems

We propose an elementary game form that allows to obtain the allocations proposed by any acceptable bankruptcy rule as the unique payoff vector of the corresponding Nash equilibria.     

区域品牌化策略的非合作博弈分析

产业中企业之间合作共创区域品牌对企业、产业乃至整个区域的经济发展都具有十分重要的意义.企业在合作共创区域品牌的过程中面临着在发展自身企业品牌与合作共创区域品牌之间的策略选择问题.基于非合作博弈论视角的研究发现:博弈的均衡解集与企业所处的外部环境和市场条件有关,当外部环境与市场条件较为宽松时,企业之间共创区域品牌的合作空间就比较大,由区域品牌带给企业的外部性收益也比较高,进而形成一个正向反馈机制.     

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.     

Non-cooperative support for the asymmetric Nash bargaining solution

We study a model of non-cooperative multilateral unanimity bargaining on a full-dimensional payoff set. The probability distribution with which the proposing player is selected in each bargaining round follows an irreducible Markov process. If a proposal is rejected, negotiations break down with an exogenous probability and the next round starts with the complementary probability. As the risk of exogenous breakdown vanishes, stationary subgame perfect equilibrium payoffs converge to the weighted Nash bargaining solution with the stationary distribution of the Markov process as the weight vector.     

Non-cooperative bargaining in apex games and the kernel

This paper studies non-cooperative bargaining with random proposers in apex games. Two different protocols are considered: the egalitarian protocol, which selects each player to be the proposer with equal probability, and the proportional protocol, which selects each player with a probability proportional to his number of votes. Expected equilibrium payoffs coincide with the kernel for the grand coalition regardless of the protocol. The equilibrium is in mixed strategies and the indifference conditions can be reinterpreted in the language of the kernel.     

基于非合作博弈的期货市场策略分析

本文基于非合作博弈的方法,通过建立非合作博弈模型对期货市场多空双方的行动策略进行分析,分别就完全信息博弈、不完全信息博弈和不完美信息博弈三种不同的博弈环境,讨论了多空双方在不同的市场形势下的行动策略、博弈的均衡及结果。分析结果表明在不同的博弈环境下,无论是均势市场、多头市场还是空头市场,资金和信息对于期货市场多空双方的博弈策略具有至关重要的影响。基于此结论,本文进一步提出,为了获得资金优势和信息优势,建立期货投资基金,形成博弈联盟是一种有效的博弈形式,以此为基础的合作博弈分析方法是分析联盟博弈的有效方法。     

Economic Growth and (Re-)Distributive Policies in a Non-cooperative World

Many models show that redistribution is bad for growth. This paper argues that in a non-cooperative world optimizing, redistributing (“left-wing”) governments mimic non-redistributing (“right-wing”) policies for fear of capital loss if capital markets become highly integrated and the countries are technologically similar. “Left-right” competition leads to more redistribution and lower GDP growth than “left-left” competition. Efficiency differences allow for higher GDP growth and more redistribution than one's opponent. Irrespective of efficiency differences, however, “left-wing” governments have higher GDP growth when competing with other “left-wing” governments. The results may explain why one observes a positive correlation between redistribution and growth across countries, and why capital inflows and current account deficits may be good for relatively high growth.     

电信产业默契合谋的存在性与稳定性分析

合谋是产业组织理论研究的重要问题之一,它易出现于寡头垄断行业中。合谋的出现会降低消费者剩余,对整个社会福利造成损失,因此应当尽量去除。电信产业是一个典型的寡头垄断产业,电信运营商之间具有很强的相互依赖性,易出现合谋,特别是默契合谋。所谓默契合谋是指寡头垄断厂商以一种纯粹“非合作”的方式进行的合作。本文首先应用古诺模型对电信产业默契合谋的存在性进行理论分析,并举出实例予以佐证。在此基础上,从理论上进一步证明了电信产业默契合谋具有不稳定性,指出运营商之间的合谋是一个“囚徒困境”。进而应用冷酷策略,研究了电信产业默契合谋维持的激励条件,并从成本对称性、市场信息透明度、产品差异性、卖方集中度和技术进步程度等方面分析了影响电信产业默契合谋的相关因素。并指出现实中,默契合谋和价格竞争往往是交替出现的。     

Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value

We propose a simple mechanism to determine how the surplus generated by cooperation is to be shared in zero-monotonic environments with transferable utility. The mechanism consists of a bidding stage followed by a proposal stage. We show that the subgame perfect equilibrium outcomes of this mechanism coincide with the vector of the Shapley value payoffs. We extend our results to implement the weighted Shapley values. Finally, we generalize our mechanism to handle arbitrary transferable utility environments. The modified mechanism generates an efficient coalition structure, and implements the Shapley values of the super-additive cover of the environment. Journal of Economic Literature Classification Numbers: C71, C72.     

Non-cooperative games with a continuum of players whose payoffs depend on summary statistics

Summary. We consider static non-cooperative games with a continuum of small players whose payoffs depend on their own actions and finitely many summary statistics of the aggregate strategy profile. We prove the existence of an equilibrium in pure strategies without any convexity restrictions on payoffs or the common action space. We show that this result applies to a broad class of monopolistic competition models. Received: April 13, 2001; revised version: December 18, 2001 RID="*" ID="*" The result in this paper generalizes a result in my PhD dissertation supervised by M. Ali Khan and Joe Harrington. I thank them for support and encouragement. I also thank Sung Kim, Bruce Nanney, Ashvin Rajan, Kali Rath, and an anonymous referee for comments. The usual disclaimer applies.     

Classifying the degree of cooperative multinationality: Case study of a French multinational cooperative

In recent decades, the largest European worker cooperatives, and those that are the most emblematic in their countries, have been transformed into multinational companies. This article examines workers’-cooperative multinationality by providing a classifying tool based on the interaction between control rights and return rights held by foreign employees in the subsidiaries of multinational cooperatives. We illustrate our matrix of cooperative multinationality by classifying an internationalized historical cooperative, Up Group (formerly Chèque Déjeuner, SCOP). In the last few decades, the French cooperative Up has become a hybrid multinational player in the employee benefits industry by setting up capitalist subsidiaries both in France and overseas. The case study also reports on Up's innovative attempt to produce a global cooperative or a more democratic multinational enterprise through converting subsidiaries’ employees into associates.     

Interdependent utility and cooperative behavior

In this paper we broaden current models of interdependent utility functions, develop a more general and inclusive model of interdependency, and demonstrate the specific nature of the Pareto improvement achievable through cooperative behavior of all individuals with different tastes who adopt similar (or identical) consumption baskets. The resulting model helps to explain such diverse phenomena as the declining importance of the family unit as well as the trend toward a more diverse consumption pattern among communal groups such as the Israeli kibbutz.     

The Shapley Value of a Patent Licensing Game: the Asymptotic Equivalence to Non-cooperative Results

We consider a game in characteristic form played by firms and an outside patent holder of a cost-reducing innovation. The worth of a coalition of players is the total Cournot profit the coalition can guarantee to obtain when it operates an optimal number of its firms while the complement operates any number of its firms as to minimize the profit of the coalition. Only firms in a coalition with the patent holder are allowed to use the efficient technology. We prove that when the number of firms is large, the Shapley value of the patent holder approximates the payoff he obtains in the non-cooperative auction game traditionally studied in the literature.We thank an anonymous referee for very helpful comments that significantly improved the paper. The second author is being partially supported by the Ministry of Education, Culture, Sports, Science and Technology (MEXT), Grant-in-Aid for 21 Century COE Program. He wishes to thank his advisor Yair Tauman and co-advisor Pradeep Dubey for their intellectual guidance, Akira Okada and Haruo Imai for their encouragement, and Shigeo Muto for his helpful comments to the first draft of this paper at the autumn meeting of the Japanese Economic Association in 2003.     

On the price discriminating labour cooperative

This paper considers labor cooperatives selling in a competitive international product market and a monopolistic domestic market simultaneously. It is shown that output of the cooperative is smaller than that of a profit maximizing firm. Both firms have the same domestic sales. Output will decrease if domestic demand rises but it may rise or fall when foreign demand increases. These contrast with the single market comparative statics of Ward.     

On the incentives for cooperative research

This paper analyzes incentives for cooperative research for firms competing in the product market. Contrary to the literature, we portray situations to show that non-cooperative R&D can occur even if the probability of success in R&D is large. We then model synergy in cooperative R&D and show that when the innovation size is large, cooperative research is likely to occur.