A note on introducing a "zero‐line" of welfare as an escape route from Arrow's theorem

Since Sen's insightful analysis of Arrow's Impossibility Theorem, Arrow's theorem is often interpreted as a consequence of the exclusion of interpersonal information from Arrow's framework. Interpersonal comparability of either welfare levels or welfare units is known to be sufficient for circumventing Arrow's impossibility result. But it is less well known whether one of these types of comparability is also necessary or whether Arrow's conditions can already be satisfied in much narrower informational frameworks. This note explores such a framework: the assumption of (ONC + 0), ordinal measurability of welfare with the additional measurability of a "zero‐line", is shown to point towards new, albeit limited, escape routes from Arrow's theorem. Some existence and classification results are established, using the condition that social orderings be transitive as well as the condition that social orderings be quasi‐transitive.     

Pareto and contemporary economic theory

This paper provides explanations for Pareto’s apparently contradictory approach to demand theory in simultaneously insisting that measurability of utility is not needed to explain the equilibrium of consumers in competitive markets, and embracing concavifiability and thus measurability of utility when this implies restrictions on consumers’ behavior such as the law of demand. It also treats his method of calibrating an aggregate demand function by employing his law of income distribution, so as to reproduce “Gregory King’s law”. Finally, some disputed issues are dealt with concerning the nature of Pareto’s contributions to welfare economics. (JEL: B13, D11, D60).     

Measurable welfare change with optimal commodity taxation

This paper extends the recent work of Julian Le Grand on the measurability of welfare changes in the presence of second-best taxation to the case of optimal commodity taxes and shows that the effects of public sector activities in the presence of such taxes may be accurately measured by use of observable market data.     

Congestion games with malicious players

We study the equilibria of non-atomic congestion games in which there are two types of players: rational players, who seek to minimize their own delay, and malicious players, who seek to maximize the average delay experienced by the rational players. We study the existence of pure and mixed Nash equilibria for these games, and we seek to quantify the impact of the malicious players on the equilibrium. One counterintuitive phenomenon which we demonstrate is the “windfall of malice”: paradoxically, when a myopically malicious player gains control of a fraction of the flow, the new equilibrium may be more favorable for the remaining rational players than the previous equilibrium.     

Equilibrium in behavior strategies in infinite extensive form games with imperfect information

Summary We prove the existence of equilibrium in behavior strategies for extensive form games when the game has infinite actions. The result is derived under the assumption that the behavior strategies satisfy the bounded measurability condition. The condition implies that the behavior strategies are restricted to those which can be viewed as continuous functions from the set of initial histories to the space of probability distributions over action spaces which satisfy the Lipschitz bound.I am grateful for the helpful comments of an anonymous referee.     

Information Invariance in Variable-Population Social-Choice Problems

We examine the possibilities of extending Sen's taxonomy of fixed-population information assumptions regarding the measurability and interpersonal comparability of individual utilities to social-choice problems where the population may vary. It is shown that in order to avoid impossibility results, informationally more demanding assumptions than in the fixed-population framework are required. We provide characterizations of variable-population social-welfare orderings based on information assumptions, and we suggest a way of generating the required informational environment by means of norms that impose a domain restriction on the set of possible utility profiles.     

基于控制视角的薪酬支付基础选择依据研究综述

本文基于组织控制视角,深入分析不同的薪酬支付基础所具有的控制功能,在人力资源管理各个环节赋予薪酬新的内涵:绩效薪酬具有产出控制功能,职务薪酬具有行为控制功能,技能薪酬具有投入控制效果。由于包括产出可衡量性、任务可规划性以及行为可观察性在内的工作任务的控制特性决定了管理者可以获得的控制信息,而且它也是决定薪酬支付基础选择的重要影响因素,因此本文将控制特性与薪酬支付基础相结合,提出产出可衡量性是绩效薪酬的先决条件,任务可规划性是职务薪酬的基本要素,投入控制功能是技能薪酬的显著优势。这为管理者选择适当的薪酬支付基础提供了新的理论参考依据。     

On measurability and comparability: Comment on Pauwels's “the implicit welfare weights used when maximizing aggregate surplus”

The note demonstrates that the unweighted sum of the Hicksian equivalent variations is not a reasonable welfare indicator if consumers have different wages. It recommends the unweighted sum of the individual money metrics, all evaluated at thesame reference pricesand reference wage. For this measure the comparability and necessary measurability of utility functions and welfare changes can be guaranteed. In contrast to Pauwels's measure the indicator proposed possesses the properties one expects.     

An experimental investigation of the explosive effect in almost common value auctions

With only two bidders, a slight private value advantage in a common value auction is predicted to have an explosive effect on the allocation and revenue of the auction when using a second price and/or English clock mechanism. This paper uses the “wallet game” in an English clock mechanism with two players to test these predictions. The results show that the effect is proportional, not explosive, confirming the results of past experiments. A behavioral model with two types of players, naive and sophisticated, is developed and tested against the experimental data. In the model, naive players use a rule of thumb bidding function, while the sophisticated players are fully rational and, when forming their strategy (choosing the best response), correctly account for the probability that a rival is naive or sophisticated. We use cluster analysis to classify the players in the symmetric auctions as naive or sophisticated and a strict win/lose criteria to classify players in the asymmetric auctions. We find that those players classified as sophisticated are more aggressive in responding to high signals or advantaged status than their naive counterparts, but do not lower their bids relative to the naive players when receiving low signals or when regular.     

Finitely repeated games with monitoring options

We study finitely repeated games where players can decide whether to monitor the other players? actions or not every period. Monitoring is assumed to be costless and private. We compare our model with the standard one where the players automatically monitor each other. Since monitoring other players never hurts, any equilibrium payoff vector of a standard finitely repeated game is an equilibrium payoff vector of the same game with monitoring options. We show that some finitely repeated games with monitoring options have sequential equilibrium outcomes which cannot be sustained under the standard model, even if the stage game has a unique Nash equilibrium. We also present sufficient conditions for a folk theorem, when the players have a long horizon.     

Adaptation and complexity in repeated games

The paper presents a learning model for two-player infinitely repeated games. In an inference step players construct minimally complex inferences of strategies based on observed play, and in an adaptation step players choose minimally complex best responses to an inference. When players randomly select an inference from a probability distribution with full support the set of steady states is a subset of the set of Nash equilibria in which only stage game Nash equilibria are played. When players make ‘cautious’ inferences the set of steady states is the subset of self-confirming equilibria with Nash outcome paths. When players use different inference rules, the set of steady states can lie between the previous two cases.     

Fault Tolerant Implementation

In this paper we investigate the implementation problem arising when some of the players are "faulty" in the sense that they fail to act optimally. The planner and the non-faulty players only know that there can be at most  k  faulty players in the population. However, they know neither the identity of the faulty players, their exact number nor how faulty players behave. We define a solution concept which requires a player to optimally respond to the non-faulty players regardless of the identity and actions of the faulty players. We introduce a notion of fault tolerant implementation, which unlike standard notions of full implementation, also requires robustness to deviations from the equilibrium. The main result of this paper establishes that under symmetric information any choice rule that satisfies two properties—  k  -monotonicity and no veto power—can be implemented by a strategic game form if there are at least three players and the number of faulty players is less than     . As an application of our result we present examples of simple mechanisms that implement the constrained Walrasian function and a choice rule for the efficient allocation of an indivisible good.     

Endogenous group formation in experimental contests

We experimentally study endogenous alliance formation and contest effort choices in a generic three-player contest. Differences in intrinsic or extrinsic incentives to expend effort cause self-selection. Weakly motivated players have an incentive to enter into an alliance and to free-ride on strongly motivated players; hence, strong players prefer to stand alone. Self-selection has direct consequences for effort in endogenously formed alliances. But we also find evidence of an effort stimulating effect if players endogenously form an alliance, which is in line with theories of in-group favoritism. The experimental evidence on self-selection is in conformity with a theory analysis of the game.     

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.     

Malice and patience in Rubinstein bargaining

If two players playing a Rubinstein alternating offers game are highly malicious (getting a high utility from “malice” in every period when the other player does not obtain a share in a fixed pie), and highly patient, no equilibrium with an agreement exists and players choose perpetual disagreement. This does not change if the players are subjected to a known deadline after which the pie will be appropriated by outside agencies or disappear: perpetual disagreement is still the only outcome. If in addition players are required to pay endogenously determined fines if they fail to reach agreement, players with discount factors in a certain range do reach agreement, but only at the deadline. However, infinitely patient players would never reach agreement for any feasible level of one-time fines. The result contrasts with spiteful or envious preferences. Our results highlight a novel reason for failure to resolve property disputes.     

健全市场主体 完善市场经济体制

完善我国市场经济体制,必须以健全市场主体为核心.为了健全市场主体,应进一步创新关于市场主体的理论,同时必须采取一系列新的举措:改革和完善国有资产管理体制,健全国有控股和参股的市场主体;加快推进基础设施和公用事业领域的改革,扩大非国有市场主体的参与范围;以资本市场的建设为重点,完善生产要素市场体系,为市场主体提供完善的载体;转变政府职能,深化行政管理体制改革,为市场主体创造良好的外部环境.     

Who pays for minor league training costs?

As an alternative to monopsonistic exploitation, the underpayment of players in major league baseball may be explained as the attempt by owners to recoup general training expenses. In this article, a method is proffered for estimating the 'surplus' extracted from those players restricted by the reserve clause, where this surplus is defined as the difference between what the player is actually paid and what he would have received if he were a free agent. These estimates are then used to examine how the surplus varies across players. The results suggest a number of interesting aspects of the recovery of minor league training costs, monopsony exploitation, and the distribution of the surplus across players. First, owners only extract a surplus from 'apprentices' (i.e., those young players who are ineligible for salary arbitration). Second, the largest surpluses are extracted from those who cost the least to train. In fact, the surplus generated by star apprentices is about twice that of mediocre apprentices. Finally, the results suggest that the surplus extracted from minority apprentices is 10–15% higher than that extracted from white apprentices.     

The NBA and the influx of international basketball players

The determinants of salaries for professional athletes in the National Basketball Association (NBA) are examined to investigate how international athletes have fared relative to athletes trained in the United States. It is found that international basketball players were paid a large premium above other players of similar skills and characteristics for the 1996–97 and 1997–98 seasons, after which the premium disappeared. This temporary premium is likely attributable to a?‘winner's curse’?experienced by NBA teams before investing significant resources in scouting and evaluating international players.     

A learning-based model of repeated games with incomplete information

This paper tests a learning-based model of strategic teaching in repeated games with incomplete information. The repeated game has a long-run player whose type is unknown to a group of short-run players. The proposed model assumes a fraction of ‘short-run’ players follow a one-parameter learning model (self-tuning EWA). In addition, some ‘long-run’ players are myopic while others are sophisticated and rationally anticipate how short-run players adjust their actions over time and “teach” the short-run players to maximize their long-run payoffs. All players optimize noisily. The proposed model nests an agent-based quantal-response equilibrium (AQRE) and the standard equilibrium models as special cases. Using data from 28 experimental sessions of trust and entry repeated games, including 8 previously unpublished sessions, the model fits substantially better than chance and much better than standard equilibrium models. Estimates show that most of the long-run players are sophisticated, and short-run players become more sophisticated with experience.