合作博弈的比例分离解及其在区域经济一体化中的应用

文章对合作博弈理论进行了研究,结合比例分配以及联盟形成过程,提出了比例分离解的概念.该解首先利用给定权重,基于回报率递减划分大联盟,得到了大联盟的适配划分,随后由适配划分确定的加入顺序对划分联盟的边际贡献按比例分配.然后,基于最高回报一致性对比例分离解的公理刻画进行了研究,得到了3个刻画定理.最后,将新的解概念应用到区域经济一体化问题中,建立了经济协同博弈模型,并以长三角地区为例,分析了该区域经济协同发展的贡献情况和发展规划.     

分销供应链中竞争零售商联盟的稳定性

针对由单一供应商和三个相互竞争零售商组成的两层分销供应链系统,在三种不同的博弈框架下,采用合作博弈论中短视的Nash稳定性概念与远视的最大一致集(LCS)概念研究了供应商与不同零售商联盟间的定价博弈,分别讨论了不同类型零售商联盟的稳定性。发现不论是在供应商处于领导地位,还是在零售商处于领导地位的市场中,当竞争强度较弱时,大联盟不是短视零售商联盟的稳定结构,却有可能是远视零售商联盟的稳定结构;当竞争强度较强时,则无论是短视零售商还是远视零售商都以大联盟为稳定结构,但是,在供应商处于领导地位的市场中,远视零售商形成大联盟的阈值较高;在供应商和零售商地位相同的市场中,大联盟则是远视零售商和短视零售商共同的稳定结构。     

微分对策中的联盟解

提出时间区间[t_0,∞)上的n人微分对策两阶段联盟解. 在第一阶段不能形成大联盟的假设是自然的,即源于这一思想. 在第一阶段以联盟作为局中人的对策中计算得到其纳什均衡,之后对每个联盟的收益按Shapley值进行分配. 一个n人微分减排模型的例子阐明了上述结果.     

基于匹配序的合作对策联盟形成决策方法及其应用

合作对策中,联盟的形成过程是联盟一切活动的基础,直接影响着合作的稳定性与可持续发展。本文在分析局中人心理,情感,现实等因素对联盟形成所产生影响的基础上,首先定义了主观偏好标度值量化了心理、情感等因素,定义了收益分配函数将现实因素量化,构建了综合匹配函数作为局中人选择合作伙伴的一个序标准,通过定义匹配请求、交互匹配、直接交互匹配等概念,构建了基于匹配序的联盟形成决策模型,并证明了在特定情况下直接交互匹配的存在必然性。其次,给出了基于匹配序的联盟形成方法步骤,演化了大联盟的形成过程。最后通过具体实例验证了该决策方法的有效性与合理性。结果表明,该方法能有效的形成一系列可行且稳定的联盟结构,能快速演化联盟的形成过程,为有效解决联盟形成问题奠定了良好基础。     

基于产品创新的企业R&D联盟形成的博弈分析

针对基于产品创新的企业R&D联盟形成过程,建立了一个包含信任、企业学习能力和技术溢出率在内的博弈模型,并利用该模型分析了不同状态下企业的最优预期利润,最后得出了不同状态下企业结盟与否的结论.分析结果表明,企业的最优预期利润是信任、企业学习能力、技术溢出率的函数,这些因素对于企业结盟与否有重要影响,最优预期利润的不同导致了关于联盟形成的不同结论.     

供应链中多供应商与单零售商的利益分配问题研究

本文利用合作博弈的方法，研究了“多供应商-单零售商”组成的供应链中成员的合作及利益分配问题。由于供应链中所有成员之间相互竞争时产生的利益是无效率的，供应链成员只有合作形成大联盟才能保证整体和成员局部利益更优。本文分析了大联盟的可行性，给出了相应的稳定利益分配方案。结果表明，零售商加入由供应商组成的“协作”联盟，是实现供应链各方利益最优化的有效途径。     

考虑联盟结构的联合采购合作剩余分配博弈分析

联合采购合作剩余分配本质是在最大联盟剩余值与最小期望分配值之间的谈判协商过程。当前联合采购合作剩余分配研究主要基于参与企业地位无差别假设,忽略了联盟结构对剩余分配具有明显影响。基于联盟形成的层次结构,研究论证了采购企业通过组建小联盟形式参与更大联盟的联合采购,可提升其在分配谈判中的话语权。通过算例分析表明,考虑联盟结构的联合采购合作剩余分配相对于不考虑联盟结构得到的分配方案更具公平性和合理性。     

基于产品创新的企业R＆D联盟形成的博弈分析

针对基于产品创新的企业R＆D联盟形成过程，建立了一个包含信任、企业学习能力和技术溢出率在内的博弈模型，并利用该模型分析了不同状态下企业的最优预期利润，最后得出了不同状态下企业结盟与否的结论。分析结果表明，企业的最优预期利润是信任、企业学习能力、技术溢出率的函数，这些因素对于企业结盟与否有重要影响，最优预期利润的不同导致了关于联盟形成的不同结论。     

基于差异化产品的专利联盟竞争效应研究

针对专利联盟对"上游许可专利,下游生产差异化产品"纵向市场效率的影响,构建了一个能同时描述上游专利关系和下游产品关系的动态博弈模型,并据此比较了不同情况下各博弈方的利润及社会福利,最后得出专利联盟提高社会福利的充要条件.均衡分析表明,当且仅当上游专利的互补程度足够高时联盟才是提高福利水平的,但联盟总是会提高专利权人的利润.在此模型均衡基础上,进一步分析了联盟形成、对创新的影响、许可费形式及专利联盟以外其他形式的联合等相关问题.     

连续型动态规划的新算法研究

提出了求解一维连续型动态规划问题的自创算法----离散近似迭代法,并结合双收敛方法求解多维连续型动态规划问题. 该算法的基本思路为：在给定其它状态向
量序列的基础上,每次对一个状态变量序列进行离散近似迭代,并找出该状态变量的最优序列,直到所有状态向量序列都检查完.当模型为非凸非凹动态规划时,
证明了该算法的收敛性.当模型为凸动态规划时,证明了该算法的线性收敛性. 最后,以一个具体算例验证了该模型和算法的有效性.     

Stable profit sharing in a patent licensing game: general bargaining outcomes

By considering coalition structures formed by an external licensor of a patented technology and oligopolistic firms, we investigate licensing agreements that can be reached as bargaining outcomes under those coalition structures. The following results hold in a generalized patent licensing game. The core for a coalition structure is always empty, unless the grand coalition forms. We give a necessary and sufficient condition for the nonemptiness of the core (for the grand coalition). If the number of licensees that maximizes licensees’ total surplus is greater than the number of existing non-licensees, each symmetric bargaining set for a coalition structure is a singleton, and the optimal number of licensees that maximizes the licensor’s revenue is uniquely determined. The authors wish to thank the chief editor, anonymous referees, and participants in the 10th DC (Japan), the 3rd ICMA, and the 17th Stony Brook conference for helpful comments and suggestions. Thanks are extended to Ryo Kawasaki for editing English. They are partially supported by the MEXT Grant-in-Aid for 21 Century COE Program, Grant-in-Aid 18730517 (Watanabe), and Grant-in-Aid 16310107 (Muto).     

Sustainable coalitions in the commons

It is well known that the lack of cooperation among agents harvesting a renewable resource is critical for its sustainable management. The present paper gives insights into the complex balance between coalition structures, resource states or dynamics and the agent heterogeneity necessary to avoid bio-economic collapses. A model bringing together coalition games and a viability approach is proposed to focus on the compatibility between bio-economic constraints and exploited common stock dynamics. The extent to which cooperation promotes sustainability is examined. Our results suggest that the stability of the grand coalition occurs for large enough stocks. By contrast, for lower levels of resources, the most efficient user plays the role of veto player.     

The kernel and bargaining set for convex games

It is shown that for convex games the bargaining set? ₁ ⁽ⁱ⁾ (for the grand coalition) coincides with the core. Moreover, it is proved that the kernel (for the grand coalition) of convex games consists of a unique point which coincides with the nucleolus of the game.     

Inventory games with permissible delay in payments

Meca et al. (2004) studied a class of inventory games which arise when a group of retailers who observe demand for a common item decide to cooperate and make joint orders with the EOQ policy. In this paper, we extend their model to the situation where retailer’s delay in payments is permitted by the supplier. We introduce the corresponding inventory game with permissible delay in payments, and prove that its core is nonempty. Then, a core allocation rule is proposed which can be reached through population monotonic allocation scheme. Under this allocation rule, the grand coalition is shown to be stable from a farsighted point of view.     

Cooperative games with large cores

A payoff vector in ann-person cooperative game is said to be acceptable if no coalition can improve upon it. The core of a game consists of all acceptable vectors which are feasible for the grand coalition. The core is said to be large if for every acceptable vectory there is a vectorx in the core withx?y. This paper examines the class of games with large cores.     

Complexity of core allocation for the bin packing game

This paper provides complexity results and develops optimal algorithms for core membership and emptiness tests of the bin packing game. Our algorithms find the maximum surplus profit, the least integer core value, and the minimum value required by the grand coalition for the existence of an integer core allocation.     

价格领先模型中Cartel的稳定值特征

采用一个三阶段价格领先博弈模型研究Cartel的稳定值特征.发现当产业规模较小的时候,Cartel稳定值可以是全联盟或者包含大多数厂商.另外,稳定Cartel的规模受厂商的成本水平影响,产业中的厂商越是成本有效,结果越趋于全合作.然而,当产业规模足够大且厂商成本足够高时,均衡结果只包含3个厂商.     

Prosperity properties of TU-games

An important open problem in the theory of TU-games is to determine whether a game has a stable core (Von Neumann-Morgenstern solution (1944)). This seems to be a rather difficult combinatorial problem. There are many sufficient conditions for core-stability. Convexity is probably the best known of these properties. Other properties implying stability of the core are subconvexity and largeness of the core (two properties introduced by Sharkey (1982)) and a property that we have baptized extendability and is introduced by Kikuta and Shapley (1986). These last three properties have a feature in common: if we start with an arbitrary TU-game and increase only the value of the grand coalition, these properties arise at some moment and are kept if we go on with increasing the value of the grand coalition. We call such properties prosperity properties. In this paper we investigate the relations between several prosperity properties and their relation with core-stability. By counter examples we show that all the prosperity properties we consider are different. Received: June 1998/Revised version: December 1998     

The bargaining set of four-person balanced games

It is well known that in three-person transferable-utility cooperative games the bargaining set ℳⁱ ₁ and the core coincide for any coalition structure, provided the latter solution is not empty. In contrast, five-person totally-balanced games are discussed in the literature in which the bargaining set ℳⁱ ₁ (for the grand coalition) is larger then the core. This paper answers the equivalence question in the remaining four-person case. We prove that in any four-person game and for arbitrary coalition structure, whenever the core is not empty, it coincides with the bargaining set ℳⁱ ₁. Our discussion employs a generalization of balancedness to games with coalition structures. Received: August 2001/Revised version: April 2002