Money in Search Equilibrium,in Competitive Equilibrium,and in Competitive Search Equilibrium

We compare three market structures for monetary economies: bargaining (search equilibrium); price taking (competitive equilibrium); and price posting (competitive search equilibrium). We also extend work on the microfoundations of money by allowing a general matching technology and entry. We study how equilibrium and the effects of policy depend on market structure. Under bargaining, trade and entry are both inefficient, and inflation implies first‐order welfare losses. Under price taking, the Friedman rule solves the first inefficiency but not the second, and inflation may actually improve welfare. Under posting, the Friedman rule yields the first best, and inflation implies second‐order welfare losses.     

Coordinating a Supply Chain System with Retailers Under Both Price and Inventory Competition

We investigate a supply chain system with a common supplier selling to downstream retailers who are engaged in both price and inventory competition. We establish the existence and uniqueness of the pure‐strategy Nash equilibrium for the retailer game and study how a supplier can coordinate the system to achieve the best performance. Our main conclusions are as follows: First, a buyback contract can be used to coordinate retailers competing on both price and inventory in a sense that optimal retail prices and inventory levels arise as the Pareto‐dominant equilibrium. With symmetric retailers, the system optimum arises as the unique symmetric equilibrium. Second, the particular type of competition experienced by retailers (price versus inventory competition) affects the characteristics of the contract. Specifically, strong price competition leads to a coordination mechanism with a positive buyback rate, where the supplier subsidizes retailers for leftover inventories; however, strong inventory competition leads to a negative buyback rate, where retailers are punished for overstocking. Using a linear expected demand function, we further explore the impact of system parameters on the coordination contract and the competitive equilibrium. We also find that the performance of the supplier's optimal contract is asymptotic to the system optimal coordination contract as competition becomes fierce.     

Simple Efficient Contracts in Complex Environments

This paper studies a general model of holdup in a setting encompassing the models of Segal (1999) and Che and Hausch (1999) among others. It is shown that if renegotiation is modeled as an infinite‐horizon noncooperative bargaining game, then, with a simple initial contract, an efficient equilibrium will generally exist. The contract is robust in the sense that it does not depend on fine details of the model. The contract gives authority to one party to set the terms of trade and gives the other party a nonexpiring option to trade at these terms. The difference from standard results arises because the initial contract ensures that the renegotiation game has multiple equilibria; the multiplicity of continuation equilibria can be used to enforce efficient investment.     

Equilibrium Financing in a Distribution Channel with Capital Constraint

There exist capital constraints in many distribution channels. We examine a channel consisting of one manufacturer and one retailer, where the retailer is capital constrained. The retailer may fund its business by borrowing credit either from a competitive bank market or from the manufacturer, provided the latter is willing to lend. When only one credit type (either bank or trade credit) is viable, we show that trade credit financing generally charges a higher wholesale price and thus becomes less attractive than bank credit financing for the retailer. When both bank and trade credits are viable, the unique equilibrium is trade credit financing if production cost is relatively low but is bank credit financing otherwise. We also study the case where both the retailer and the manufacturer are capital constrained and demonstrate that, to improve the overall supply chain efficiency, the bank should finance the manufacturer if production cost is low but finance the retailer otherwise. Our analysis further suggests that the equilibrium region of trade credit financing shrinks as demand variability or the retailer's internal capital level increases.     

BEYOND PRACTICES: A QUALITATIVE INQUIRY INTO HIGH PERFORMANCE ELECTRONICS ASSEMBLY

This paper is based on the cumulative or synergies theory of manufacturing performance, as opposed to the trade‐off perspective. The paper compares the cases of two British contract electronics assemblers, the first one having achieved a high level of performance on productivity, quality, and dependability, and the second one having achieved a lower level of performance on these criteria but higher flexibility. The case material is used to develop a “high school” analogy that helps to understand why companies come to achieve cumulative manufacturing performance in an industrial sector where competitive pressure is particularly high.     

Bargaining within the Supply Chain and Its Implications in an Industry

Our main objective is to investigate the influence of the bargaining power within a chain on its industry. As a building block, we first discuss the implications of bargaining within a single chain by considering an asymmetric Nash bargaining over the wholesale price (BW). We show that both Manufacturer Stackelberg (MS) and vertical integration (VI) strategies are special cases of the BW contract. We then develop the Nash equilibrium in an industry with two supply chains that use BW. We identify the profit‐maximizing (coordinating) bargaining power within this industry. We show that when a chain is not monopolistic, VI does not coordinate the chain and that the MS contract, where the manufacturer has all the bargaining power, is coordinating when competition is intense. We find that the main determinant of the equilibrium in mature industries is to respond well to the actions of the competing chain rather than to directly maximize the profit of each chain. That is, the equilibrium does not necessarily maximize the profit of the entire industry. While a coordination of the industry could then increase the profitability of both chains, such a coordination is likely against antitrust law. Moreover, if one chain cannot change its actions, the other chain may unilaterally improve its profitability by deviating from the equilibrium. Our results lead to several predictions supported by empirical findings, such as that in competitive industries chains will work “close to” the MS contract.     

Why Doesn't Technology Flow From Rich to Poor Countries?

What is the role of a country's financial system in determining technology adoption? To examine this, a dynamic contract model is embedded into a general equilibrium setting with competitive intermediation. The terms of finance are dictated by an intermediary's ability to monitor and control a firm's cash flow, in conjunction with the structure of the technology that the firm adopts. It is not always profitable to finance promising technologies. A quantitative illustration is presented where financial frictions induce entrepreneurs in India and Mexico to adopt less‐promising ventures than in the United States, despite lower input prices.     

EQUILIBRIUM INCENTIVE CONTRACTS AND EFFICIENCY WAGES

We analyze the optimal (efficiency) wage contract when output is contractible but firms neither observe the workers' effort nor their match‐specific productivity. Firms offer wage contracts that optimally trade off effort and wage costs. As a result, employed workers enjoy rents, which in turn creates unemployment. Nonetheless, the incentive power of the equilibrium wage contract is constrained efficient in the absence of taxes and unemployment benefits. We also show that more high‐powered incentive contracts tend to be associated with higher equilibrium unemployment rates. (JEL: E24, J30, J41)     

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.     

The Impact of Switching Costs on the Outsourcing of Knowledge‐Intensive Business Processes

This study examines the impact of switching costs on vendor selection and contract efficiency in the outsourcing of knowledge‐intensive business services (KIBS). We show that under most plausible scenarios in KIBS outsourcing, there is an intrinsic tension between vendor selection and contract efficiency: in the process in which the winning vendor's bid constitutes the terms of the contract between client and vendor (e.g., competitive bidding), there is good selection but contract inefficiency (positive information rent paid by the client). If, by contrast, the client establishes the contract terms, then its performance yields contract efficiency but poor selection. We also highlight the implications of performance metrics for contract design in KIBS outsourcing.     

基于不公平厌恶或地位追求的创新顾客最优合同类型研究

本文首先从创新顾客的公平偏好程度、薪酬合同类型（最优激励系数）与激励机制效果的关系入手,引入公平偏好理论（不公平厌恶和地位追求）、相对绩效评估（RPE）和参与成本要素,构建顾客参与企业新产品开发的激励模型;其次,通过模型求解和分析,探讨分析各类薪酬合同中风险成本、不公平预期损失和激励效果之间的关系;最后,通过仿真实验验证并确定企业采用的创新顾客最优薪酬合同类型。研究发现：在同一薪酬合同下,创新顾客愈不在意其参与成本的投入,该合同的激励效果愈积极;关于创新顾客最优合同类型的选择,意味着求解一个三方面权衡,包括风险成本、不公平预期损失和公平偏好的激励效果;对于公平偏好程度较低的创新顾客,企业可采用相对绩效合同,例如锦标竞争合同;对于公平偏好程度较高的创新顾客,当其风险规避程度较高时,可采用团队报酬合同,当其风险规避程度较低时,可采用完美团队合同。     

Monopoly Union Wage Setting and Evaluation of Public Projects: An Intertemporal General Equilibrium Approach

ABSTRACT This paper contains cost-benefit rules for public projects in a small open economy with a tradeable and non-tradeable sector, where wage setting is done by a representative household. The interpretation, with regard to traditional trade union theory, is in terms of a general equilibrium version of a monopoly union model. The intertemporal character of the model makes it possible to consider public projects which involve the creation of infrastructure that improves the future productivity of both labour and capital. A special feature of the model is the introduction of endogenous investment behaviour. However, since private investment is optimally adjusted in the initial equilibrium, envelope properties guarantee that first-order projects will only have second-order repercussions through changed investment behaviour, which means that indirect changes in private investment do not enter the project evaluation rules for small projects.     

Cursed Equilibrium

There is evidence that people do not fully take into account how other people's actions depend on these other people's information. This paper defines and applies a new equilibrium concept in games with private information, cursed equilibrium, which assumes that each player correctly predicts the distribution of other players' actions, but underestimates the degree to which these actions are correlated with other players' information. We apply the concept to common‐values auctions, where cursed equilibrium captures the widely observed phenomenon of the winner's curse, and to bilateral trade, where cursedness predicts trade in adverse‐selections settings for which conventional analysis predicts no trade. We also apply cursed equilibrium to voting and signalling models. We test a single‐parameter variant of our model that embeds Bayesian Nash equilibrium as a special case and find that parameter values that correspond to cursedness fit a broad range of experimental datasets better than the parameter value that corresponds to Bayesian Nash equilibrium.     

Equilibrium Wage‐Tenure Contracts

In this study we consider a labor market matching model where firms post wage‐tenure contracts and workers, both employed and unemployed, search for new job opportunities. Given workers are risk averse, we establish there is a unique equilibrium in the environment considered. Although firms in the market make different offers in equilibrium, all post a wage‐tenure contract that implies a worker's wage increases smoothly with tenure at the firm. As firms make different offers, there is job turnover, as employed workers move jobs as the opportunity arises. This implies the increase in a worker's wage can be due to job‐to‐job movements as well as wage‐tenure effects. Further, there is a nondegenerate equilibrium distribution of initial wage offers that is differentiable on its support except for a mass point at the lowest initial wage. We also show that relevant characteristics of the equilibrium can be written as explicit functions of preferences and the other market parameters.     

An Approach to Asset Pricing Under Incomplete and Diverse Perceptions

We model a dynamic, competitive market, where in every period, risk‐neutral traders trade a one‐period bond against an infinitely lived asset, with limited short‐selling of the long‐term asset. Traders lack structural knowledge and use different “incomplete theories,” all of which give statistically correct beliefs about next period's market price of the long‐term asset. The more theories there are in the market, the higher is the equilibrium price of the long‐term asset. Investors with more complete theories do not necessarily earn higher returns than those with less complete ones, who can earn above the risk‐free rate. We provide two necessary conditions for a trader to earn above the risk‐free rate.     

需求与回收确定下闭环供应链的竞争与链内协调研究

针对两条分别由单生产商和单零售商组成、零售商负责废品回收的闭环供应链,运用博弈论和均衡理论建立了对应两条闭环供应链均为分散式供应链、均为集中式供应链、一条为分散式供应链一条为集中式供应链的带均衡约束的均衡（EPEC）模型、纳什（Nash）均衡模型和带均衡约束的优化（MPEC）模型,并进行了模型求解。对比三种模式表明：集中式控制是供应链竞争下的占优策略。随后,给出了两条供应链竞争下可协调分散式供应链达到集中式供应链效果的批发价加回收补贴契约。最后的数值算例和敏感性分析表明了模型的合理性、协调契约的有效性、以及相关参数的影响。     

付费搜索拍卖建模与两类排名机制比较研究

在综合付费搜索拍卖静态博弈研究成果的基础上,通过归纳广告主估价函数结构和梳理拍卖规则,建立了较为一般性的付费搜索拍卖模型,定义了GSP机制下付费搜索拍卖的纳什均衡条件和无嫉妒均衡条件并阐述了二者之间的关系,证明了有效竞价排名相对于单纯竞价排名具有更好的均衡配置效率,但是不能保证搜索引擎收益一定得到提高,最后通过数值分析进一步指出,只有广告主相关度因子存在较大差别时,有效竞价排名相对于单纯竞价排名的优势才能得以体现。     

Directed Matching and Monetary Exchange

We develop a model of monetary exchange where, as in the random matching literature, agents trade bilaterally and not through centralized markets. Rather than assuming they match exogenously and at random, however, we determine who meets whom as part of the equilibrium. We show how to formalize this process of directed matching in dynamic models with double coincidence problems, and present several examples and applications that illustrate how the approach can be used in monetary theory. Some of our results are similar to those in the random matching literature; others differ significantly.     

Nonexclusive Competition in the Market for Lemons

A seller can trade an endowment of a perfectly divisible good, the quality of which she privately knows. Buyers compete by offering menus of nonexclusive contracts, so that the seller can privately trade with several buyers. In this setting, we show that an equilibrium exists under mild conditions and that aggregate equilibrium allocations are generically unique. Although the good for sale is divisible, in equilibrium the seller ends up trading her whole endowment or not trading at all. Trades take place at a price equal to the expected quality of the good, conditional on the seller being ready to trade at that price. Our model thus provides a novel strategic foundation for Akerlof's (1970) results. It also contrasts with competitive screening models in which contracts are assumed to be exclusive, as in Rothschild and Stiglitz (1976). Latent contracts that are issued but not traded in equilibrium play an important role in our analysis.     

Efficient Competition Through Cheap Talk: The Case of Competing Auctions

We consider a large market where auctioneers with private reservation values compete for bidders by announcing cheap‐talk messages. If auctioneers run efficient first‐price auctions, then there always exists an equilibrium in which each auctioneer truthfully reveals her type. The equilibrium is constrained efficient, assigning more bidders to auctioneers with larger gains from trade. The choice of the trading mechanism is crucial for the result. Most notably, the use of second‐price auctions (equivalently, ex post bidding) leads to the nonexistence of any informative equilibrium. We examine the robustness of our finding in various dimensions, including finite markets and equilibrium selection.