售电侧改革、市场主体变化与电价红利:基于讨价还价博弈

本文通过构建“一对多”和“多对多”讨价还价博弈模型,研究了售电侧改革前后,发电商和售电公司之间关于消费者剩余分配的博弈过程。具体来说,文章从售电侧改革带来的博弈主体与博弈机制变化角度,揭示了售电侧改革对用户电价红利的影响。研究发现:售电侧放开后,电力市场交易机制由“一对多”竞价上网变为“多对多”讨价还价匹配,造成了售电侧博弈主体的议价能力下降,发电侧博弈主体相对议价能力上升。发电商群体将索取更多的消费者剩余,从而推动发电侧整体报价的上涨,挤压了售电侧的利润空间,导致售电公司被迫抬高市场电价,最终剥夺了用户的电价红利。研究揭示了售电侧改革未能带来电价下降的根本原因。     

基于制造商建议零售价的供应链定价策略

为了阐述制造商建议零售价格对供应链定价策略的影响,以其作为消费者的参照价格,引入到供应链系统中。采用博弈论的方法进行研究,结果表明：当制造商建议零售价格较低时,零售商将采用最低参照价格策略,当制造商建议零售价格较高时,零售商将采用最高参照价格策略,当制造商建议零售价格介于两者之间时,零售商将采用价格保持策略。在此基础上,研究了相关参数对上述三种策略的影响,以及三种策略之间的差异。不仅指出最低参照价格策略或者最高参照价格策略都有可能使制造商的收益最大化,还给出了选择的条件。最后,用数值分析比较了不同策略下的供应链系统收益,指出在最高参照价格策略下的系统收益是最优的。相关结论为制造商建议零售价格制定提供了理论依据。     

制造商相对弱势格局下“主制造商-供应商”双方叫价拍卖灰博弈模型

高技术产品的研制初期,主制造商受系统集成能力弱、缺少市场话语权、与供应商合作关系不稳固等因素的影响,在项目谈判中往往处于弱势地位,尤其在产品定价问题上常常受到供应商的牵制。针对这一问题,引入体现主制造商和供应商定价博弈中贫信息及有限理性的灰系数,构建了"主制造商-供应商"双方叫价拍卖灰博弈模型,揭示价格谈判过程中的博弈关系,并对模型的交易范围进行了讨论;针对主制造商弱势格局下的博弈问题进行了参数设定和系统仿真,分析了主制造商的最优灰报价和可获得的最大效用;最后,根据模型及其仿真结果分别从前期沟通策略、价格谈判策略和长期合作策略的角度提出了主制造商博弈的策略建议。     

Supply Chain Contracting Under Competition: Bilateral Bargaining vs. Stackelberg

We analyze contracting behaviors in a two‐tier supply chain system consisting of competing manufacturers and competing retailers. We contrast the contracting outcome of a Stackelberg game, in which the manufacturers offer take‐it‐or‐leave‐it contracts to the retailers, with that of a bargaining game, in which the firms bilaterally negotiate contract terms via a process of alternating offers. The manufacturers in the Stackelberg game possess a Stackelberg‐leader advantage in that the retailers are not entitled to make counteroffers. Our analysis suggests that whether this advantage would benefit the manufacturers depends on the contractual form. With simple contracts such as wholesale‐price contracts, which generally do not allow one party to fully extract the trade surplus, the Stackelberg game replicates the boundary case of the bargaining game with the manufacturers possessing all the bargaining power. In contrast, with sophisticated contracts such as two‐part tariffs, which enable full surplus extraction, the two games lead to distinct outcomes. We further show that the game structure being Stackelberg or bargaining critically affects firms' preferences over contract types and thus their equilibrium contract choices. These observations suggest that the Stackelberg game may not be a sufficient device to predict contracting behaviors in reality where bargaining is commonly observed.     

Bargaining with Interdependent Values

A seller and a buyer bargain over the terms of trade for an object. The seller receives a perfect signal that determines the value of the object to both players, whereas the buyer remains uninformed. We analyze the infinite‐horizon bargaining game in which the buyer makes all the offers. When the static incentive constraints permit first‐best efficiency, then under some regularity conditions the outcome of the sequential bargaining game becomes arbitrarily efficient as bargaining frictions vanish. When the static incentive constraints preclude first‐best efficiency, the limiting bargaining outcome is not second‐best efficient and may even perform worse than the outcome from the one‐period bargaining game. With frequent buyer offers, the outcome is then characterized by recurring bursts of high probability of agreement, followed by long periods of delay in which the probability of agreement is negligible.     

电力市场中关于直购电力价格的讨价还价博弈模型

运用鲁宾斯坦的轮流出价讨价还价模型的思想,构造发电公司与大用户之间关于直购电力价格的不完全信息轮流出价的讨价还价博弈模型,求解模型并对所得的结果进行分析,得出双方达成协议主要取决于双方的“谈判成本”以及它们关于对方实时电力价格预期的估计。最后提出应提高实时电力市场透明度的政策建议。文中的模型及其结论同样也适用于发电公司和配电公司之间的讨价还价博弈。     

非对称信息下产险公司与投保大户之间的二周期讨价还价博弈

将投保人分为投保大户与非大户,认为投保大户能够准确预知自身损失概率,而产险公司却无法知道投保大户损失概率的真值.在这样的信息不对称条件下,构造了产险公司与投保大户之间的二周期讨价还价模型.用博弈论求解该模型,得到了完美贝叶斯均衡解,进而给出了产险公司在谈判中能获得的最大期望收益与投保大户的最优策略.     

Reputational Bargaining and Deadlines

I highlight how reputational concerns provide a natural explanation for “deadline effects,” the high frequency of deals prior to a deadline in bargaining. Rational agents imitate the demands of obstinate behavioral types and engage in brinkmanship in the face of uncertainty about the deadline's arrival. I also identify how surplus is divided when the prior probability of behavioral types is vanishingly small. If behavioral types are committed to fixed demands, outcomes converge to the Nash bargaining solution regardless of agents' respective impatience. If behavioral types can adopt more complex demand strategies, outcomes converge to the solution of an alternating offers game without behavioral types for the deadline environment.     

A Theory of Disagreement in Repeated Games With Bargaining

This paper proposes a new approach to equilibrium selection in repeated games with transfers, supposing that in each period the players bargain over how to play. Although the bargaining phase is cheap talk (following a generalized alternating‐offer protocol), sharp predictions arise from three axioms. Two axioms allow the players to meaningfully discuss whether to deviate from their plan; the third embodies a “theory of disagreement”—that play under disagreement should not vary with the manner in which bargaining broke down. Equilibria that satisfy these axioms exist for all discount factors and are simple to construct; all equilibria generate the same welfare. Optimal play under agreement generally requires suboptimal play under disagreement. Whether patient players attain efficiency depends on both the stage game and the bargaining protocol. The theory extends naturally to games with imperfect public monitoring and heterogeneous discount factors, and yields new insights into classic relational contracting questions.     

On the Advantage of Quantity Leadership When Outsourcing Production to a Competitive Contract Manufacturer

This study investigates a supply chain comprising an original equipment manufacturer (OEM) and a contract manufacturer (CM), in which the CM acts as both upstream partner and downstream competitor to the OEM. The two parties can engage in one of three Cournot competition games: a simultaneous game, a sequential game with the OEM as the Stackelberg leader, and a sequential game with the CM as the Stackelberg leader. On the basis of these three basic games, this study investigates the two parties' Stackelberg leadership/followership decisions. When the outsourcing quantity and wholesale price are exogenously given, either party may prefer Stackelberg leadership or followership. For example, when the wholesale price or the proportion of production outsourced to the CM is lower than a threshold value, both parties prefer Stackelberg leadership and, consequently, play a simultaneous game in the consumer market. When the outsourcing quantity and wholesale price are decision variables, the competitive CM sets a wholesale price sufficiently low to allow both parties to coexist in the market, and the OEM outsources its entire production to this CM. This study also examines the impact of the supply chain parties' bargaining power on contract outcomes by considering a wholesale price that is determined via the generalized Nash bargaining scheme, finding a Stackelberg equilibrium to be sustained when the CM's degree of bargaining power is great and the non‐competitive CM's wholesale price is high.     

Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information

This paper analyzes a class of games of incomplete information where each agent has private information about her own type, and the types are drawn from an atomless joint probability distribution. The main result establishes existence of pure strategy Nash equilibria (PSNE) under a condition we call the single crossing condition (SCC), roughly described as follows: whenever each opponent uses a nondecreasing strategy (in the sense that higher types choose higher actions), a player's best response strategy is also nondecreasing. When the SCC holds, a PSNE exists in every finite‐action game. Further, for games with continuous payoffs and a continuum of actions, there exists a sequence of PSNE to finite‐action games that converges to a PSNE of the continuum‐action game. These convergence and existence results also extend to some classes of games with discontinuous payoffs, such as first‐price auctions, where bidders may be heterogeneous and reserve prices are permitted. Finally, the paper characterizes the SCC based on properties of utility functions and probability distributions over types. Applications include first‐price, multi‐unit, and all‐pay auctions; pricing games with incomplete information about costs; and noisy signaling games.     

Optimal Pricing and Rebate Strategies in a Two‐Level Supply Chain

For many product categories, manufacturers and retailers often offer rebates to stimulate sales. Due to certain adverse effects, however, some manufacturers and retailers are contemplating the elimination of their rebate programs. This paper sheds light on the debate about the value of rebate programs by presenting a model for evaluating the conditions under which a firm should offer rebates in a competitive environment. Specifically, we consider a two‐level supply chain comprising one manufacturer and one retailer. Each firm makes three decisions: the regular (wholesale or retail) price, whether or not to offer rebates, and the rebate value should the firm decide to launch a rebate program. We determine the equilibrium of a vertical competition game between the manufacturer (leader) and the retailer (follower), and we provide insights about how competition affects the conditions under which a firm should offer rebates in equilibrium.     

不同权力结构下制造商双渠道供应链的博弈分析

在单个拥有线下传统批发及线上直销双渠道的制造商和单个零售商组成的供应链中,基于供应链成员博弈权力的差异,构建制造商占优或零售商占优的两类Stackelberg博弈及双方同等权力的Nash博弈模型,分析了三种博弈权力结构对供应链成员价格,需求和利润的影响。研究发现：当制造商线下传统批发渠道所占市场份额较小时,（1）渠道交叉价格弹性系数为0时和不为0时,三种博弈权力结构对制造商双渠道供应链均衡解的影响具有一定的鲁棒性;（2）三种博弈权力结构下,制造商线上直销渠道价格相同;两类Stackelberg博弈权力结构下,线下传统批发渠道价格相同且大于Nash博弈下的传统渠道价格;制造商批发价格随其博弈主导地位下降逐渐降低;（3）当渠道交叉价格弹性系数为0时,三种博弈权力结构对线上直销渠道需求的影响是无差异的;当渠道间交叉价格弹性系数不为0时,两类Stackelberg博弈权力结构下的线下传统批发渠道需求相同且小于Nash博弈下的传统渠道需求,线上直销渠道需求相同且大于Nash博弈下的线上直销渠道需求;（4）三种博弈策略下,制造商收益及零售商收益随其博弈主导地位下降逐渐降低;Nash博弈下,供应链总利润最大。     

Information and Efficiency in Tender Offers

We analyze tender offers where privately informed shareholders are uncertain about the raider's ability to improve firm value. The raider suffers a “lemons problem” in that, for any price offered, only shareholders who are relatively pessimistic about the value of the firm tender their shares. Consequently, the raider finds it too costly to induce shareholders to tender when their information is positive. In the limit as the number of shareholders gets arbitrarily large, when private benefits are relatively low, the tender offer is unsuccessful if the takeover has the potential to create value. The takeover market is therefore inefficient. In contrast, when private benefits of control are high, the tender offer allocates the firm to any value‐increasing raider, but may also allow inefficient takeovers to occur. Unlike the case where all information is symmetric, shareholders cannot always extract the entire surplus from the acquisition.     

基于信号博弈的卖方欺诈行为分析

本文主要基于信号博弈的卖方欺诈行为进行研究，假设拍卖中可能存在欺诈型和诚实型两种卖家，其中欺诈行为有概率发生在第二价格拍卖中：欺诈型卖方冒充竞拍者递交仅次于最高价的报价从而获得额外收益。两种卖家根据各自效用选择拍卖形式：第一价格或者第二价格。而竞买者将卖者的选择作为信号，更新对卖方类型的判断，然后制定报价策略。这是一个买卖方信号交叉影响的过程。考虑到拍卖过程中买方价值相关性，本文在建立模型中参考了关联价值原理。针对该模型进行分析，得出了不同情况下的买卖方策略，并且研究了买方报价、买方判断、卖方收益三者之间的关系。文中利用贝叶斯公式对双方的策略选择问题进行预测，与单纯的概率分布方法相比，更具实践价值。     

Bargaining without a Common Prior—An Immediate Agreement Theorem

In sequential bargaining models without outside options, each player's bargaining power is ultimately determined by which player will make an offer and when. This paper analyzes a sequential bargaining model in which players may hold different beliefs about which player will make an offer and when. Excessive optimism about making offers in the future can cause delays in agreement. The main result states that, despite this, if players will remain sufficiently optimistic for a sufficiently long future, then in equilibrium they will agree immediately. This result is also extended to other canonical models of optimism.     

基于二叉树期权模型的企业兼并价格确定的博弈分析

虽有研究对兼并标的资产价值服从连续随机分布情形下交易价格确定问题进行了讨论,但对离散随机分布情形下交易价格确定问题的讨论不够深入,这就不仅仅使得研究与实践相互脱节,更降低了研究对现实的解释力。现在对一类标的资产价值服从二叉树离散分布情形下交易价格问题进行研究,运用实物期权理论和博弈论的研究方法对标的价值评估与交易价格确定分别进行了讨论。研究运用中心极限定理分析了标的资产价值呈现二叉树特征,并且存在无限次上涨与下降状态情形下实物期权的极限分布。然后在对著名的Rubinstein讨价还价定理进行改进的基础上,给出了离散二叉树分布情形下的标的资产交易价格确定的解析表达式。最后,通过数值仿真揭示不同参数变化所引起的交易价格变化趋势,从而进一步说明模型的合理性和对现实的解释力。     

Bargaining,Reputation, and Equilibrium Selection in Repeated Games with Contracts

Consider a two‐person intertemporal bargaining problem in which players choose actions and offers each period, and collect payoffs (as a function of that period's actions) while bargaining proceeds. This can alternatively be viewed as an infinitely repeated game wherein players can offer one another enforceable contracts that govern play for the rest of the game. Theory is silent with regard to how the surplus is likely to be split, because a folk theorem applies. Perturbing such a game with a rich set of behavioral types for each player yields a specific asymptotic prediction for how the surplus will be divided, as the perturbation probabilities approach zero. Behavioral types may follow nonstationary strategies and respond to the opponent's play. In equilibrium, rational players initially choose a behavioral type to imitate and a war of attrition ensues. How much should a player try to get and how should she behave while waiting for the resolution of bargaining? In both respects she should build her strategy around the advice given by the “Nash bargaining with threats” (NBWT) theory developed for two‐stage games. In any perfect Bayesian equilibrium, she can guarantee herself virtually her NBWT payoff by imitating a behavioral type with the following simple strategy: in every period, ask for (and accept nothing less than) that player's NBWT share and, while waiting for the other side to concede, take the action Nash recommends as a threat in his two‐stage game. The results suggest that there are forces at work in some dynamic games that favor certain payoffs over all others. This is in stark contrast to the classic folk theorems, to the further folk theorems established for repeated games with two‐sided reputational perturbations, and to the permissive results obtained in the literature on bargaining with payoffs as you go.     

Delegation vs. Control in Supply Chain Procurement under Competition

This paper studies the optimal component procurement strategies of two competing OEMs selling substitutable products. The OEMs outsource their production to a common contract manufacturer, who in turn needs an input from a component supplier. Each OEM may either directly procure the input from the component supplier, or delegate the procurement task to the contract manufacturer. We first analyze the OEMs' procurement game under a non‐strategic supplier whose component price is exogenously given. It is found that symmetric equilibria arise for most situations, that is, both OEMs either control or delegate their component procurement in equilibrium. Interestingly, despite the commonly‐held belief that the contract manufacturer would be worse off as OEMs gain component procurement control, we show that the contract manufacturer may enjoy a higher profit. Then we study the OEMs' procurement game under a strategic supplier who can set its component price. We find that the supplier's strategic pricing behavior plays a critical role in the equilibrium procurement structure. In particular, in the equilibrium under strategic supplier, the larger OEM always uses delegation while the smaller OEM may use either delegation or control. By identifying the driving forces behind the OEMs' procurement choices, this research helps explain observed industry practices and offer useful guidelines for firms' component sourcing decisions.     

不同渠道权力结构和信息结构下供应链定价和销售努力决策

本文针对零售商销售努力和销售价格影响需求情况下的制造商-零售商两级供应链,研究不同渠道权力结构和信息结构下供应链的分散决策。基于博弈理论和建模方法,对几种权力结构和信息结构情景建立相应模型,通过理论与数值分析对不同博弈均衡进行比较。研究表明,随着零售商势力逐步增强制造商利润会逐步恶化;但零售商势力增强能否带来更多利润,取决于需求对价格和销售努力的敏感度、销售努力成本以及信息结构。占优一方可以通过获取对方更多信息来改善自己处境。若占优零售商不得不依赖于对制造商成本先验分布进行决策,当估计的均值大于真实成本时,适度的方差对零售商更有利。最后,讨论了销售努力成本分担的合作机制,针对非合作博弈给出了帕累托改进的合约区间和 Nash讨价还价均衡。