A Simple Search and Bargaining Model of Real Estate Markets

This paper examines the impact of brokers on buyers' and sellers' search behavior and on the transaction prices in real estate markets. It is shown that the seller and the buyer search less intensively if the house is listed with a broker. The seller gets a higher price when he employs a broker, but the increase in price is smaller than the commission fee. More specifically, the portion of the commission covered by the increase in price is directly related to the bargaining powers of the buyer and the seller. In the special case where the price is determined according to the Nash bargaining solution, the increase in price is shown to be half of the commission fee. It is also shown that an increase in the commission rate increases the equilibrium price but decreases the equilibrium search intensities.     

Contracts as a barrier to entry: Impact of Buyer’s asymmetric information and bargaining power

An incumbent seller contracts with a buyer under the threat of entry. The contract stipulates a price and a penalty for breach if the buyer later switches to the entrant. Sellers are heterogenous in terms of the gross surplus they provide to the buyer. The buyer is privately informed on her valuation for the incumbent’s service. Asymmetric information makes the incumbent favor entry as it helps screening buyers. When the entrant has some bargaining power vis-à-vis the buyer and keeps a share of the gains from entry, the incumbent instead wants to reduce entry. The compounding effect of these two forces may lead to either excessive entry or foreclosure, and possibly to a fixed rebate for exclusivity which is afforded to all buyers.     

Quantity competition with access fees

We analyze an oligopoly model where firms choose both quantities and access fees. Per unit prices are determined endogenously to equate quantity demanded with quantity supplied at each firm. In a Nash equilibrium of the game played by firms, the per unit prices equal marginal cost and access fees may or may not extract all consumer surplus. As the number of firms increases, access fees fall below net consumer surplus and toward zero. Existence is guaranteed if Marshallian consumer surplus is not too concave. With open entry, quantity competition with access fees may be less efficient than without access fees.     

Contracting with endogenous entry

We analyze entry in markets where a principal contracts with a privately informed agent. Before learning his production cost, the agent knows his probability of having a low cost – his ex ante “type” – and decides whether to pay an entry fee to contract with the principal. There are two cut-off equilibria that determine the possible types of an agent who actually enters the market, and neither equilibrium can be discarded by standard selection criteria. Contrasting with standard intuition, in the equilibrium with the highest cut-off an increase in the entry fee reduces the marginal type of the agent who enters, thus increasing entry and the expected cost of an entrant. This equilibrium is selected by a criterion based on “robustness to equilibrium risk,” even though the equilibrium with the lowest cut-off is Pareto dominant for the agent. Public policies that increase entry barriers may be welfare improving.     

Nonsequential search equilibrium with search cost heterogeneity

We generalize the model of Burdett and Judd (1983) to the case where an arbitrary finite number of firms sells a homogeneous good to buyers who have heterogeneous search costs. We show that a price dispersed symmetric Nash equilibrium always exists. Numerical results show that the behavior of prices and consumer surplus with respect to the number of firms hinges upon the nature of search cost dispersion: when search costs are relatively concentrated, entry of firms leads to lower average prices and greater consumer surplus; however, for relatively dispersed search costs, the mean price goes up and consumer surplus may decrease with the number of firms.     

Buyer power with atomistic upstream entry: Can downstream consolidation increase production and welfare?

This paper investigates the effects of buyer power on entry into an atomistic upstream market and economic welfare. Under reasonable market conditions, we show that industries with a few buyers induce more upstream entry than industries with a larger number of firms. In particular, monopsony can be more conducive to entry and lead to higher social welfare than more fragmented industry structures. This seeming paradox arises because a single buyer better internalizes the positive effects of entry on later-periods’ supply conditions than a collection of firms. This result is relevant in a number of market settings, including markets for specialized labor and processing markets for agricultural products.     

Games with incomplete information: A simplified exposition with inventory management applications

In most existing literature in supply chain management it is assumed that the players possess complete information about the game, i.e., the players' payoff (objective) functions are assumed to be common knowledge. For static and dynamic games with complete information, the Nash equilibrium and subgame perfect equilibrium are the standard solution concepts, respectively. For static and dynamic games with incomplete information, the Bayesian Nash equilibrium and perfect Bayesian equilibrium, respectively, are used as solution concepts. After presenting a brief review of the static and dynamic games under complete information, the application of these two games in inventory management is illustrated by using a single-period stochastic inventory problem with two competing newsvendors. Next, we illustrate the Bayesian Nash and perfect Bayesian equilibrium solution concepts for the static and dynamic games under incomplete information with two competing newsvendors. The expository nature of our paper may help researchers in inventory/supply chain management gain easy access to the complicated notions related to the games played under incomplete information.     

中国大飞机产业化的市场约束与进入条件

中国大飞机项目成功的关键在于实现产业化,而能否产业化又取决于市场基础。由于民用大飞机产业属于买方约束条件十分严格的市场,中国大飞机项目产业化的基本立足点应该是储备进入市场的条件。目前中国国内民用航空市场的结构状况不利于国产大飞机进入市场,应当对航空公司作进一步重组的市场制度安排。为了能使中国的大飞机在实现规模化生产之前就能获得“买家”的订单,有必要在航空运输市场重组现有的航空公司,减少航空公司的数量,鼓励更有实力的航空公司的涌现。     

The impact of competitive advantage on the investment timing in Stackelberg leader–follower game

This short note clarifies how the Stackelberg leader’s competitive advantage after the follower’s entry affects the leader’s optimal market entry decision and Stackelberg strategic interactions under uncertainty. Although the Stackelberg leader’s first investment threshold remains constant and coincides with the monopolist’s investment trigger, his second (third) investment threshold, which defines the exit (entry) of the first (second) investment interval, increases with an increased competitive advantage. With an increased competitive advantage, the probability of sequential investment equilibrium (simultaneous investment equilibrium) increases (decreases) irrespective of the level of volatility. Moreover, for a given level of competitive advantage, an increase in the volatility tends to decrease (increase) the probability of simultaneous investment equilibrium (sequential investment equilibrium). For a richer set of results, endogenous firm roles are examined and analyzed as well. The leader’s preemptive threshold is negatively affected by his competitive advantage.     

Information leakage in innovation outsourcing

This paper studies an R&D outsourcing contract between a firm and a contractor, considering the possibility that in the interim stage, the contractor might sell the innovation to a rival firm. Our result points out that due to the competition in the interim stage, the reward needed to prevent leakage will be pushed up to the extent that a profitable leakage-free contract does not exist. This result will also apply to cases considering revenue-sharing schemes and a disclosure punishment for commercial theft. Then, we demonstrate that in a competitive mechanism where the R&D firm hires two contractors together with a relative performance scheme, the disclosure punishment might help and there exists a perfect Bayesian Nash equilibrium where the probability of information leakage is lower and the equilibrium reward is also cheaper than hiring one contractor.     

Real Estate Brokers, Nonprice Competition and the Housing Market

Given a fixed commission rate and easy entry, economic profits must be competed away on some nonprice margin in the real estate brokerage market. This paper focuses on nonprice competition in the level or quality of services offered buyers and sellers in the market, examining the equilibrium adjustment process, comparative static predictions and efficiency implications. In contrast with earlier studies focusing on wasteful advertising, this paper demonstrates that higher commission rates can either increase or decrease deadweight loss, depending upon how broker services affect buyer and seller transaction costs.     

Is targeted advertising always beneficial?

In this paper, we study a simple model in which two horizontally differentiated firms compete in prices and targeted advertising on an initially uninformed market. First, the Nash equilibrium is fully characterized. We prove that when the advertising cost is low, firms target only their “natural markets”, while they cross-advertise when this cost is high. Second, the outcome at equilibrium is compared with random advertising. Surprisingly, we prove that firms' equilibrium profits may be lower with targeted advertising relative to random advertising, while firms are given more options with targeted advertising.     

基于微分博弈的发电商报价模型及其分析

基于微分博弈原理,构建了发电商报价动态模型,在运用Hamilton—Jacobi—Bellman方法对其进行求解基础上,针对3家发电商的情况进行了数值仿真分析。分析表明：高边际成本的发电商报价策略的动态均衡会大于其Coumot-Nash均衡,而边际成本较低的发电商报价策略的动态均衡略低于CoumotoNash均衡;随贴现率的增大,发电商的均衡报价策略会经历由递增到递减的变化过程,而学习速度对发电商报价策略的影响则是相反的;当贴现率与学习速度同时变化时,对市场出清价的局部影响较为复杂,但当两者同时逐渐增大时,发电商报价策略的动态均衡会逐渐稳定在较高水平。     

NON‐COOPERATIVE ENTRY DETERRENCE IN LICENSE AUCTIONS: DYNAMIC VERSUS SEALED BID*

We examine the impact of potential entry on incumbent bidding behavior in license auctions, in both dynamic and sealed bid formats. Unlike sealed bid auctions, dynamic auctions reveal information about the identities of potential winners and allow bidders to revise their bids. This helps incumbents to coordinate their entry deterrence efforts. If entry is sufficiently costly for each incumbent, only the dynamic auction has an equilibrium where entry is deterred for sure. Numerical calculations suggest that, regardless of how costly entry is for each incumbent, sealed bid auctions can generate a higher probability of entry as well as a more efficient allocation.     

Exclusionary discounts

We consider a two-period model with two sellers and one buyer. Although we assume it is efficient for the buyer to purchase from both sellers in each period, we show that when the buyer's valuations are inter-temporally linked and at least one seller is financially constrained, exclusion can sometimes arise in equilibrium (i.e., the buyer purchases all of its requirements from the same seller in each period). The exclusionary equilibria are supported by contract offers in which the excluding seller's incremental price to supply the contestable part of demand is below its marginal cost and sometimes negative. Our findings contribute to the literatures on market-share contracts, bundling, all-units discounts, and loyalty discounts.     

Pricing in revenue management for multiple firms competing for customers

We consider the pricing strategies of multiple firms providing the same service in competition for a common pool of customers in a revenue management context. The firms have finite capacity and the demand at each firm depends on the selling prices charged by all firms, each of which satisfies demand up to a given capacity limit. We use game theory to analyze the systems when firms face either a deterministic demand or a general stochastic demand. The existence and uniqueness conditions of a Nash equilibrium are derived, and we calculate the explicit Nash equilibrium point when the demand at each firm is a linear function of price. We also conduct sensitivity analysis of the equilibrium prices with respect to cost and capacity parameters.     

Price negotiation under uncertainty

This paper examines supply contract negotiation when buyer's revenue and seller's cost are uncertain. In these circumstances, both the seller and the buyer have an option to determine when to sell and buy, which may influence negotiation outcomes. Thus, we developed a bilateral negotiation model to derive the optimal selling (buying) rule considering the option. Our results show that the options of waiting to sell and to buy (1) narrow the traditional zone of possible agreement and (2) lower the probability of negotiation agreement. It is also shown that impasses can occur due to uncertainty, even when a purchase price is lower than the buyer's future revenue and higher than the seller's future cost.     

电煤市场中买方市场集中度对均衡价格的影响分析

几乎所有的文献都从"市场煤"与"计划电"的体制矛盾入手分析电煤价格持续上涨及发电企业经营困难的主要原因与相关对策。作者认为,在近年来电煤市场供求总量基本平衡的前提下,电煤市场价格持续大幅度上涨与发电企业买方市场集中度有关。本文运用讨价还价模型,分析了买方市场集中度变化即改单一发电企业购煤为发电集团公司统一购煤甚至多家发电集团公司统一购煤对电煤均衡价格的影响。结果表明:提高买方市场集中度能有效降低电煤市场均衡价格。     

Auctions for Split-Award Contracts

The buyer of a homogeneous input divides his input requirements into two contracts that are awarded to different suppliers. He uses a sequential second-price auction to award a primary and a secondary contract. With a fixed number of suppliers the buyer pays a higher expected price than with a sole-source auction. The premium paid to the winner of the secondary contract must also be paid to the winner of the primary contract as an opportunity cost. When entry is endogenous, we identify the conditions under which a secondary contract can increase the number of suppliers and lower the expected price.     

VERTICAL MERGERS,FORECLOSURE AND RAISING RIVALS' COSTS – EXPERIMENTAL EVIDENCE*

The hypothesis that vertically integrated firms have an incentive to foreclose the input market because foreclosure raises its downstream rivals' costs is the subject of much controversy in the theoretical industrial organization literature. A powerful argument against this hypothesis is that, absent commitment, such foreclosure cannot occur in Nash equilibrium. The laboratory data reported in this paper provide experimental evidence in favor of the hypothesis. Markets with a vertically integrated firm are significantly less competitive than those where firms are separate. While the experimental results violate the standard equilibrium notion, they are consistent with the quantal‐response generalization of Nash equilibrium.