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A new value for cooperative games based on coalition size 基于联盟大小的合作博弈的新值
IF 0.5 4区 经济学 Q4 Economics, Econometrics and Finance Pub Date : 2023-06-07 DOI: 10.1111/ijet.12381
Surajit Borkotokey, Dhrubajit Choudhury, Rajnish Kumar, Sudipta Sarangi

We propose and characterize a new value for TU cooperative games based on egalitarian distribution of worths in smaller coalitions and players' marginal productivity in larger coalitions. This value belongs to the class of Procedural values due to Malawski. Our value is identical with the Shapley value on one extreme and the Equal Division rule on the other extreme. We show that our value is identical with the solidarity value due to Bèal et al. of the dual game. However, by duality, our characterization intuitively improves over the axiomatization of this solidarity value. We also provide a mechanism that implements our value in sub-game perfect Nash equilibrium. Finally, a generalized version of this value is proposed followed by its characterizations.

基于较小联盟中价值的平均分配和较大联盟中参与者的边际生产率,我们提出并描述了TU合作博弈的新值。由于Malawski,该值属于过程值类。我们的值在一个极端上与Shapley值相同,在另一个极端上与等分规则相同。我们证明了我们的价值与二元博弈的b等人的团结价值是相同的。然而,通过对偶性,我们的特征直观地改善了这种团结价值的公理化。我们还提供了一种在子博弈完美纳什均衡中实现我们的价值的机制。最后,提出了该值的广义版本,并对其进行了表征。
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引用次数: 0
Issue Information: International Journal of Economic Theory 2/2023 发行信息:《国际经济理论杂志》2/2023
IF 0.5 4区 经济学 Q4 Economics, Econometrics and Finance Pub Date : 2023-05-10 DOI: 10.1111/ijet.12350
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引用次数: 0
Axiomatic characterizations of the family of Weighted priority values 加权优先值族的公理化表征
IF 0.5 4区 经济学 Q4 Economics, Econometrics and Finance Pub Date : 2023-04-19 DOI: 10.1111/ijet.12375
Sylvain Béal, Sylvain Ferrières, Adriana Navarro-Ramos, Philippe Solal

We introduce a new family of values for TU-games with a priority structure, which both contains the Priority value recently introduced by Béal et al. and the Weighted Shapley values (Kalai & Samet). Each value of this family is called a Weighted priority value and is constructed as follows. A strictly positive weight is associated with each agent and the agents are partially ordered according to a binary relation. An agent is a priority agent with respect to a coalition if it is maximal in this coalition with respect to the partial order. A Weighted priority value distributes the dividend of each coalition among the priority agents of this coalition in proportion to their weights. We provide an axiomatic characterization of the family of the Weighted Shapley values without the additivity axiom. To this end, we borrow the Priority agent out axiom from Béal et al., which is used to axiomatize the Priority value. We also reuse, in our domain, the principle of Superweak differential marginality introduced by Casajus to axiomatize the Positively weighted Shapley values. We add a new axiom of Independence of null agent position which indicates that the position of a null agent in the partial order does not affect the payoff of the other agents. Together with Efficiency, the above axioms characterize the Weighted Shapley values. We show that this axiomatic characterization holds on the subdomain where the partial order is structured by levels. This entails an alternative characterization of the Weighted Shapley values. Two alternative characterizations are obtained by replacing our principle of Superweak differential marginality by Additivity and invoking other axioms.

我们为带有优先级结构的tu游戏引入了一系列新的值,其中既包含了b等人最近引入的优先级值,也包含了加权Shapley值(Kalai &萨梅特)。该族的每个值称为加权优先级值,其构造如下。每个代理都有一个严格正的权值,代理按照二元关系部分排序。如果一个agent在这个联盟中相对于偏序是最大的,那么它就是一个相对于联盟的优先agent。加权优先级值将每个联盟的红利按其权重比例分配给该联盟的优先代理。给出了不含可加性公理的加权Shapley值族的公理化刻画。为此,我们借用了bassaal等人的优先级代理out公理,该公理用于对优先级值进行公理化。我们还在本领域中重用Casajus引入的超弱微分边际原理来公理化正加权Shapley值。我们增加了一个新的零代理位置独立性公理,该公理表明零代理在偏序上的位置不影响其他代理的收益。上述公理与效率一起描述了加权Shapley值。我们证明了这种公理化性质在偏序由层次构成的子域上成立。这需要加权沙普利值的另一种表征。用可加性原理代替我们的超弱微分边际性原理,并引用其他公理,得到了两个可选的刻画。
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引用次数: 0
Environmental corporate social responsibility under price competition and the second-mover advantage: An endogenous timing approach 价格竞争和后发优势下的环境企业社会责任:一种内生时机分析方法
IF 0.5 4区 经济学 Q4 ECONOMICS Pub Date : 2023-04-12 DOI: 10.1111/ijet.12376
Chul-Hi Park, Sang-Ho Lee

We consider an environmental corporate social responsibility (ECSR) under price competition in a product differentiated duopoly and formulate an extensive endogenous timing game where firms choose ECSR and subsequently choose prices. We show that a successive sequential-move appears in the equilibrium wherein an ECSR leader adopts a lower degree of ECSR and thereupon chooses a price leader. Therefore, the firm with a low degree of ECSR becomes a price leader while the firm with a high degree of ECSR becomes a price follower but earns higher profits, that is, a second-mover advantage with ECSR-induced higher costs appears.

我们考虑了产品差异化双寡头市场中价格竞争下的环境企业社会责任(ECSR),并构建了一个企业选择ECSR并随后选择价格的广泛内生时间博弈。我们证明了在均衡中出现了一个连续的顺序移动,其中一个ECSR领导者采用较低程度的ECSR,从而选择一个价格领导者。因此,低ECSR程度的企业成为价格领导者,而高ECSR程度的企业成为价格跟随者,但获得了更高的利润,即出现了由ECSR引起的更高成本的后发优势。
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引用次数: 1
Technology licensing and collusion 技术许可与串谋
IF 0.5 4区 经济学 Q4 Economics, Econometrics and Finance Pub Date : 2023-03-23 DOI: 10.1111/ijet.12373
Neelanjan Sen, Priyansh Minocha, Arghya Dutta

This paper considers the possibility of technology licensing via fixed-fee, royalty or two-part tariff and tacit collusion between firms that produce homogeneous goods under asymmetric cost structures and compete in quantities. In contrast to Lin (1996), all forms of licensing facilitate (obstruct) collusion, if the initial cost difference between the firms is relatively less (more). Technology will always be licensed, and the optimal form of licensing is either fixed-fee or royalty or two-part tariff, but collusion may or may not be possible post-licensing. Welfare decreases after licensing if the firms collude only after licensing but not collude under no-licensing.

本文考虑了在不对称成本结构下生产同质产品并进行数量竞争的企业之间通过固定费用、特许权使用费或两部分关税进行技术许可的可能性和隐性串通。与Lin(1996)相反,如果公司之间的初始成本差异相对较小(较多),则所有形式的许可都有利于(阻碍)共谋。技术总是需要许可的,许可的最佳形式要么是固定费用,要么是特许权使用费,要么是分成两部分的关税,但许可后可能会出现共谋,也可能不会。如果企业只在许可后串通而在无许可下不串通,则许可后的福利减少。
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引用次数: 0
The role of standard-setting organizations in deciding product quality and process innovation 标准制定组织在决定产品质量和工艺创新中的作用
IF 0.5 4区 经济学 Q4 ECONOMICS Pub Date : 2023-03-15 DOI: 10.1111/ijet.12374
Munirul Nabin, Pasquale Sgro, Surjasama Lahiri

We analyze the effect that the presence of a standard-setting organization (SSO) has on firms' choices of product quality and costly research and development (R&D) investment when consumers face uncertainty regarding product standardization. We construct a theoretical model with competing firms and compare frameworks where: (i) an SSO is exogenously absent and (ii) an SSO is present. Our first finding is a negative relationship between firms' product-quality choices and R&D investment. The presence of the SSO standardizes quality which can be profitable for firms. Finally, we find conditions where the presence of an SSO could lead to welfare enhancement.

我们分析了当消费者面临产品标准化的不确定性时,标准制定组织(SSO)的存在对企业选择产品质量和昂贵的研发投资(r&d)的影响。我们构建了一个具有竞争企业的理论模型,并比较了(i)外部不存在SSO和(ii)存在SSO的框架。我们的第一个发现是企业的产品质量选择与研发投资之间存在负相关关系。SSO的存在使质量标准化,这对企业来说是有利可图的。最后,我们发现SSO的存在可能导致福利提高的条件。
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引用次数: 0
Pricing contingent convertibles with idiosyncratic risk 具有特殊风险的或有可转换债券定价
IF 0.5 4区 经济学 Q4 ECONOMICS Pub Date : 2023-03-03 DOI: 10.1111/ijet.12372
Xiaolin Wang, Zhaojun Yang, Pingping Zeng

We consider capital structure including equity, straight bonds (SBs), and contingent convertibles (CoCos) for nonfinancial firms. We price equity and CoCos by a utility-based method. We show that benefits from issuing CoCos increase dramatically with idiosyncratic risk and risk aversion. The firm value is concave in CoCos' conversion ratio and the optimal conversion ratio increases with risk aversion and idiosyncratic risk. If risk aversion is sufficiently high, shareholders' risk-shifting incentives disappear, and the firm issues less CoCos and equity and more SBs as idiosyncratic risk rises. The higher the idiosyncratic risk or risk aversion, the higher the leverage.

我们考虑非金融公司的资本结构,包括股权、直接债券(SBs)和或有可转换债券(CoCos)。我们采用基于效用的方法对权益和成本进行定价。我们表明,发行coco的收益随着特殊风险和风险厌恶而急剧增加。企业价值在CoCos转换率中呈凹形,最优转换率随着风险规避和特质风险的增加而增大。如果风险厌恶程度足够高,股东转移风险的动机就会消失,随着特殊风险的上升,公司发行的coco和股票就会减少,发行的sb就会增加。特殊风险或风险厌恶程度越高,杠杆率就越高。
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引用次数: 0
Issue Information: International Journal of Economic Theory 1/2023 发行信息:《国际经济理论杂志》1/2023
IF 0.5 4区 经济学 Q4 Economics, Econometrics and Finance Pub Date : 2023-02-02 DOI: 10.1111/ijet.12348
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引用次数: 0
Optimality in an OLG model with nonsmooth preferences 具有非光滑偏好的OLG模型的最优性
IF 0.5 4区 经济学 Q4 ECONOMICS Pub Date : 2023-02-02 DOI: 10.1111/ijet.12371
Eisei Ohtaki

It is a well-known observation that, in the overlapping generations (OLG) model with the complete market, we can judge optimality of an equilibrium allocation by examining the associated equilibrium price. Motivated by recent development in decision theory under ambiguity, this study reexamines the above observation in a stochastic OLG model with convex but not necessarily smooth preferences. It is shown that optimality of an equilibrium allocation depends on the set of possible supporting prices, not necessarily on the associated equilibrium price itself. Therefore, observations of an equilibrium price do not necessarily tell us precise information on optimality of the equilibrium allocation.

众所周知,在完全市场的重叠代(OLG)模型中,我们可以通过检查相关的均衡价格来判断均衡分配的最优性。受模糊决策理论近期显著发展的启发,本研究在一个具有凸但不一定平滑偏好的随机OLG模型中重新检验了上述观察结果。结果表明,在这种偏好下,均衡分配的最优性取决于可能的支持价格集合,而不一定取决于相关的均衡价格本身。因此,对均衡价格的观察不一定能告诉我们关于均衡配置最优性的精确信息。
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引用次数: 0
On the General Deviation Measure and the Gini coefficient 广义偏差测度与基尼系数
IF 0.5 4区 经济学 Q4 ECONOMICS Pub Date : 2023-01-23 DOI: 10.1111/ijet.12370
Doron Nisani

The General Deviation Measure introduces a progressive definition for financial risk measurement, which presents an alternative to the Coherent Risk Measure. This definition replaces the Translation Invariance and Monotonicity axioms with the Shift Invariance and Nonnegativity axioms, and it includes the Mean Absolute Deviation measure and other variations of the Value-at-Risk measurements. This research shows that Coherent Risk Measure holds an intrinsic contradiction regarding riskless assets, and it proves that the Gini coefficient is also a General Deviation Measure. These contributions improve the efficiency of risk measurement and asset pricing in the financial markets.

一般偏差度量引入了一个渐进的金融风险度量定义,它提供了一个替代连贯风险度量。这个定义用移位不变性和非负性公理代替平移不变性和单调性公理,它包括平均绝对偏差度量和风险值度量的其他变化。本研究表明,连贯风险测度对无风险资产存在内在矛盾,并证明了基尼系数也是一种一般偏差测度。这些贡献提高了金融市场风险度量和资产定价的效率。
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International Journal of Economic Theory
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