Bargaining in a network of buyers and sellers

We analyze bargaining between buyers and sellers who are connected by an exogenously given network. Players can make repeated alternating public offers that may be accepted by any of the responders linked to each specific proposer. Our purpose is to find the conditions of the network which drive the price distribution in equilibrium. This paper uses graph theory tools to provide necessary and sufficient conditions regarding the architecture of networks for the subgame perfect equilibrium of the bargaining game to coincide with the Walrasian outcome.     

The dynamics of responder behavior in ultimatum games: a meta-study

Using data aggregated from seven papers that study repeated play in standard ultimatum games with either stranger or absolute stranger matching, we show that the behavior of responders changes with experience. High offers are more likely to be accepted with experience and low offers are more likely to be rejected. At the individual level, there is a negative relationship between the likelihood that a given offer is accepted and the size of the preceding offer. We compare the results with predictions generated by static models of distributional preferences, implicitly dynamic models of preferences with reciprocity, and explicitly dynamic models of adaptive learning. The data is most consistent with models of preferences with reciprocity.     

Repeated Bargaining with Persistent Private Information

The paper analyses repeated contract negotiations involving the same buyer and seller where the contracts are linked because the buyer has persistent (but not full y permanent) private information. The size of the surplus being divided is specified as a two-state Markov chain with transitions that are synchronized with contract negotiation dates. Equilibrium involves information cycles triggered by the success or failure of aggressive demands made by the seller. Because there is persistence in the Markov chain generating the surplus, a successful demand induces the seller to make another aggressive demand in the next negotiation, since the buyer's acceptance reveals that the current surplus is large. Rejection of an aggressive demand, on the other hand, leads the seller to be pessimistic about the size of the surplus in the next contract, so the seller makes a "soft" offer that is sure to be accepted. Then, after several such offers have been accepted, the seller is optimistic enough to again make an aggressive demand, creating an information cycle. An interesting feature of this cycle is that the soft price is not constant, but declines as the cycle continues, so as to offset the buyer's option value of re-starting the cycle when the current state is bad. An explicit mapping is given for the relationship between the basic parameters and the equilibrium prices and quantities; in particular, there is a closed-form solution for the threshold belief that makes the seller indifferent between hard and soft offers.     

Strategic delay and endogenous offers in bargaining games with private information

This paperendogenously determines the order of offers and the duration of delay in reaching agreement between buyers and sellers in a continuous-time bargaining game in which a seller wishes to vend an object of known cost to a buyer, to whom the value of the good is private information, and in which each player can choose to strategically delay a response to a previous offer or to interrupt the delay of his rival. Both buyers and sellers are shown to prefer to move first in a model of bargaining in which: (1) either player can make the first offer; (2) after the minimum time has elapsed from the previous offer, either player can make an offer; and (3) players can choose to strategically delay and refrain from making an offer after the previous offer. When the buyer moves first, the equilibrium response for the seller is to accept the offer immediately. When the seller moves first the equilibrium is characterized by the seller making all but the last offer, with minimal feasible delay between successive offers. Observable endogenous delay in reaching an agreement in such equilibria approaches zero as the minimal feasible delay between offers approaches zero. This indicates that in noncooperative bargaining models with private information, where players can strategically delay their offers, endogenizing the order in which players make offers removes the ability of informational asymmetries to generate equilibria exhibiting endogenous delay in reaching an agreement.     

Reallocation and learning over the business cycle

This paper shows how cyclical aggregate shocks can stimulate structural reallocation activities, which in turn amplify the effect of the shock. It analyses the informational aspects of restructuring activities and their interplay with aggregate shocks. A model is developed in which production units are uncertain about the value of staying in the market and learn about it over time in a Bayesian fashion. In addition to their own private assessment, they can also learn from observing other units’ decisions. Given that adjusting is costly, each unit has an incentive to delay action and wait for other players to act in order to make a better informed decision. If delay is more costly in a downturn, a negative aggregate shock can break the inertia and induce the most pessimistic agents to exit. The information released by such actions will induce more action, thus generating a burst in restructuring activities that reinforces the initial effect of the aggregate shock. This process of information accumulation and revelation offers both a powerful amplification mechanism of relatively modest aggregate shocks and a potential explanation of why restructuring tends to be concentrated in recessions.     

WHEN YOU ASK ZEUS A FAVOR: THE THIRD PARTY'S VOICE IN A DICTATOR GAME

We conducted a laboratory experiment on a dictator game with the option for a “voice” by a third party and compared it with the dictator game with a “voice” by the recipient. Our findings are as follows. The dictators' offers in response to an aggressive voice of the recipients are significantly lower than the dictators' offers in response to the corresponding voice of the third party. The dictators' responses to an aggressive voice differentiate the effects of the recipient's voice from those of the third party's.     

Signaling bargaining power: Strategic delay versus restricted offers

Summary. I study the first-round separating equilibrium of a buyer-seller bargaining game, extended to allow for asymmetric information, strategically delayed offers and offers restricted to a portion of the good. When bargaining is over a consumption good, in equilibrium the “strong” buyer uses a restricted offer if his optimal consumption path is conservative relative to the “weak” buyer. A pure restricted offer may even be a costless, efficient signal. When the good is durable, a pure strategic delay is involved in signaling a strong bargaining position if the discount factor is high. Received: June 24, 1998; revised version: May 30, 1999     

International convergence in regulation: The case of measurable standards

Recent literature on competition in regulation concludes that the iterative adjustment that may start with mutual recognition is an open-ended process. This paper shows that, even without acceptance of reciprocal minimum standards, a process of iterative adjustment may be triggered by the coexistence of foreign goods with high standard levels and domestic goods with relatively low standard levels. Focusing on the case of international heterogeneity of levels of a specific standard, the paper offers an intuitive counter-argument to the fear that free trade necessarily implies a “race to the bottom“ of standard levels.     

Decision-making in competitive framings—Strategic behavior of chess players in mini-ultimatum game chess puzzles

We introduce a competitive framing in the mini-ultimatum game utilizing chess puzzles. Therein, our chess playing participants accept low offers significantly more often compared to a neutral framing. We conclude that in familiar competitive surroundings egoistic behavior is more acceptable.     

The effects of externalities and framing on bribery in a petty corruption experiment

Using a simple one-shot bribery game simulating petty corruption exchanges, we find evidence of a negative externality effect and a framing effect. When the losses suffered by third parties due to a bribe being offered and accepted are high and the game is presented as a petty corruption scenario instead of in abstract terms bribes are less likely to be offered. Higher negative externalities are also associated with less bribe acceptance. However, framing has no effect on bribe acceptance, indicating that the issue of artificiality may be of particular importance in bribery experiments.     

Multidimensional Bargaining Under Asymmetric Information

A buyer with private information regarding marginal valuation bargains with a seller to determine price and quantity of trade. Depending on parameter values, a high‐valuation buyer wants either to reveal information to create value or to conceal it to capture value. In the first case, equilibrium trades are efficient. In the second case, the low‐valuation buyer purchases less than her efficient quantity, and there can be a one‐period delay in trade. The quantity distortion is the only inefficiency that persists when time between offers approaches zero. There exist equilibria that are independent of the seller's prior beliefs.     

A pair-wise approach to output convergence between European regions

We apply the Pesaran (2007) pair-wise approach of convergence to the per capita outputs of 195 European regions for the period 1980-2006. Pesaran's approach is based on the computation of the percentage ratio of output gaps which fulfil a given convergence criterion. A high ratio will be interpreted in favour of convergence. In a first step, we define stochastic convergence between two regions as level stationarity of their output gap. Deviations from its equilibrium value will only have a temporary effect. Results from several usual unit root or stationarity tests show us that the percentage ratio of level stationary output gaps is low, which stands against this definition of convergence. However, this convergence criterion excludes the possibility of changes in output gap equilibrium value or catching up between regions. To fit these cases, we combine the pair-wise approach with unit root or stationarity tests with structural breaks. Structural breaks are modelled by dummies (Zivot and Andrews, 1992; Kurozumi,2002) or as smooth structural breaks (Christopoulos and León-Ledesma, 2009). Overall results are not changed as convergence is not accepted more often. Finally, we consider the autocorrelation function approach of Caggiano and Leonida (2009). Autocorrelations and their confidence intervals are estimated for each output gap. Convergence between two regions is accepted if their per capita output gap autocorrelations become nonsignificantly different from zero after some lag. Results show that a high percentage of regions satisfy this convergence criterion. Contrary to the conclusions which could be made from previous results, shocks to output gaps seem to disappear as time passes.     

Bargaining foundation for ratio equilibrium in public‐good economies

We provide a bargaining foundation for the concept of ratio equilibrium in public‐good economies. We define a bargaining game of alternating offers, in which players bargain to determine their cost shares of public‐good production and a level of public good. We study the stationary subgame perfect equilibrium (SSPE) without delay of the bargaining game. We demonstrate that when the players are perfectly patient, they are indifferent between the equilibrium offers of all players. We also show that every SSPE without delay in which the ratios offered by all players are the same leads to a ratio equilibrium. In addition, we demonstrate that all equilibrium ratios are offered by the players at some SSPE without delay. We use these results to discuss the case when the assumption of perfectly patient players is relaxed and the cost of delay vanishes.     

FIRM SIZE AND PRICING POLICY

We relate pricing policy of firms to their size, where firm size is interpreted as the size of the clientele served by the concerned firm. We argue that a firm with a large clientele faces a more severe reputational backlash if it ‘reneges’, i.e., deviates from its earlier price offer. This allows the firm to effectively commit to its offers, leading to a unique equilibrium without delay. Interestingly, this equilibrium corresponds to the equilibrium of the related model that does not allow for reneging possibilities. For smaller firms, however, the reputational effects are much less intense, and consequently the equilibria may involve deviation possibilities. In this case, the equilibria are non‐unique and may involve delays as well.     

On the persistence of corruption

This paper tries to answer the question why the phenomenon of corruption seems to be inherently existent in any society. The dynamic model presented shows how rational agents may generate multiple equilibria of corruption within the same kind of socio-economic system. We assume that the individual disutility caused by the loss of reputation from a corrupt transaction depends on the acceptance of corrupt behavior by the representative individual. Depending on the values of some key parameters like the marginal utility of corrupt behavior and the initial acceptance of corruption a completely corrupt equilibrium where all people completely accept corruption or a completely honest equilibrium where corruption is not accepted at all may be the limit state of the optimal path. Also inner equilibria in-between exist; however, they are always unstable.     

IMMEDIATE SETTLEMENT OR ENDURING A STRIKE: THE CHOICE OF SIGNALS

Some labour contract negotiations involve strikes while most conclude with immediate settlement. This article offers a model of union‐firm negotiation with private information to show that either strikes or immediate settlement will take place in the equilibrium. Different from most signalling literature where the signals are exogenously given, this article endogenizes the choice of signals. We compare two signals, the employment level and the strategic delay. We show that the low‐revenue firm will choose the signal which gives it higher payoff while separating itself from the high‐revenue firm.     

Disapproval aversion or inflated inequity acceptance? The impact of expressing emotions in ultimatum bargaining

Past experimental research has shown that when rating systems are available, buyers are more generous in accepting unfair offers in ultimatum bargaining. However, it also suggests that, under these conditions, sellers behave more fairly to avoid receiving negative feedback. This paper experimentally investigates which effect is stronger with the use of a rating system: buyers’ inflated inequity acceptance or sellers’ disapproval aversion. We explore this question by varying the information condition on the buyers’ side. Our experiment shows that in a setup where the size of the pie is common knowledge for both buyers and sellers, when a rating system is present, the sellers exhibit disapproval aversion but the buyers do not display greater acceptance of inequity. By contrast, when only sellers are aware of the size of the pie, sellers behave aggressively to exploit buyers and their behavior does not change in the presence of a rating system; however, buyers display greater acceptance of inequity when a rating system is present. We discuss how these results can be explained by a theoretical model that includes sellers’ social disapproval aversion and buyers’ disappointment aversion in addition to the players’ inequality aversion.     

Matching with noise and the acceptance curse

This paper explores matching with both search and information frictions. Specifically, everyone observes only a noisy signal of the true type of any potential mate. In this context, matching decisions must incorporate not only information about a partner's attribute conveyed by the noisy signal, but also—as in the winner's curse in auction theory—information about a partner's type contained in his or her acceptance decision.We show that there exists an equilibrium exhibiting a stochastic positive assorting of types, generalizing [Becker, J. Polit. Economy 81 (1973) 813-846]. In equilibrium, selection is adverse: being accepted reduces an agent's estimate of a potential partner's type, a phenomenon that we call the acceptance curse effect.     

交叉口信号控制延误计算模型分析与构建

本文通过对哈尔滨市部分十字型信号交叉口与T型信号交叉口,采用点样本法进行的延误调查数据,对各交叉口应用美国的HCM2000法、英国的Webster法、澳大利亚的ARRB法和我国上海城市综合规划使用的综合算法分别进行了延误理论计算值与实测值的比较。经分析,各种算法均与实测值有较大出入。在此基础上建立了与哈尔滨市交通情况相适应的信号交叉口延误计算模型,从而为哈尔滨市信号交叉口控制研究和道路系统的分析评价中延误的分析与计算提供了理论依据。     

Career concerns in a simple experimental labour market

We experimentally investigate a simple version of Holmström's career concerns model in which firms compete for agents in two consecutive periods. Profits of firms are determined by agents’ unknown ability and the effort they choose. Before making second-period wage offers firms are informed about first-period profits. In a different treatment firms additionally learn the abilities of agents. Theory suggests high first-period equilibrium effort in the hidden ability treatment but no effort elsewhere. However, we find that effort tends to be higher in the revealed ability treatment and therefore conclude that transparency does not weaken, but strengthen career concerns incentives.