Solving dynamic public insurance games with endogenous agent distributions: Theory and computational approximation

We make two contributions in this paper. First, we extend the characterization of equilibrium payoff correspondences in history-dependent dynamic policy games to a class with endogenously heterogeneous private agents. In contrast to policy games involving representative agents, this extension has interesting consequences as it implies additional nonlinearity (i.e., bilinearity) between the game states (distributions) and continuation/promised values in the policymaker’s objective and incentive constraints. The second contribution of our paper is in addressing the computational challenges arising from this payoff-relevant nonlinearity. Exploiting the game’s structure, we propose implementable approximate bilinear programming formulations to construct estimates of the equilibrium value correspondence. Our approximation method respects the property of upper hemicontinuity in the target correspondence. We provide small-scale computational examples as proofs of concept.     

Coalition structure values in differential information economies: is unity a strength?

The coalition structure (CS) value, introduced by Owen [G. Owen, Values of games with a priori unions, in: Essays in Mathematical Economics and Game Theory, Springer Verlag, Berlin, 1977] and Hart and Kurz [Econometrica 51 (1983) 1047], generalizes the Shapley value to social situations where coalitions form for the purpose of bargaining. This paper introduces the CS value to economies with differential information. We show that the private CS values exists and is Bayesian incentive compatible. Moreover, we construct examples that go against the intuitive viewpoint that “unity is strength”. In particular, we consider a three-person economy in which two agents bargain as a unit against the third agent. We show that bargaining as a unit is advantageous if and only if information is complete. This result sheds new light on bargaining under differential information.     

Strategic managerial incentives under adverse selection

We extend the strategic contract model where the owner designs incentive schemes for her manager before the latter takes output decisions. Firstly, we introduce private knowledge regarding costs within each owner–manager pair. Under adverse selection, we show that delegation involves a trade‐off between strategic commitment and the cost of an extra informational rent linked to decentralization. Which policies will arise in equilibrium? We introduce in the game an initial stage where owners can simultaneously choose between control and delegation. We show that if decision variables are strategic substitutes, choosing output control through a quantity‐lump sum transfer contract is a dominating strategy. If decision variables are strategic complements, this policy is a dominated strategy. Further, two types of dominant‐strategies equilibrium may arise: in the first type, both principals use delegation; in the second one, both principals implement delegation for a low‐cost manager and output control for a high‐cost one. Copyright © 2005 John Wiley & Sons, Ltd.     

Die Theorie globaler Spiele: Private Information als Mittel zur Vermeidung multipler Gleichgewichte

Investment decisions with network effects, refinancing illiquid firms, and speculative attacks are typical examples for coordination games with multiple equilibria. By introducing private information about payoff relevant parameters, the theory of global games embeds such coordination games in a stochastic environment, in which the game may have a unique equilibrium. This paper provides an introduction to the theory of global games and shows that it delivers a unique equilibrium if private information is sufficiently precise, while public information may lead to equilibria with self-fulfilling beliefs. This implies some criteria for optimal mechanisms of information dissemination. For example, a well-informed central bank can minimize the prior probability of currency crises by committing to provide information to private actors with small idiosyncratic errors.     

On axiomatizations of the Shapley value for assignment games

We consider the problem of axiomatizing the Shapley value on the class of assignment games. It turns out that several axiomatizations of the Shapley value on the class of all TU-games do not characterize this solution on the class of assignment games. However, when considering an assignment game as a (communication) graph game where the game is simply the assignment game and the graph is a corresponding bipartite graph where buyers (sellers) are connected with sellers (buyers) only, we show that Myerson’s component efficiency and fairness axioms do characterize the Shapley value on the class of assignment games. Moreover, these two axioms have a natural interpretation for assignment games. Component efficiency yields submarket efficiency stating that the sum of the payoffs of all players in a submarket equals the worth of that submarket, where a submarket is a set of buyers and sellers such that all buyers in this set have zero valuation for the goods offered by the sellers outside the set, and all buyers outside the set have zero valuations for the goods offered by sellers inside the set. Fairness of the graph game solution boils down to valuation fairness stating that only changing the valuation of one particular buyer for the good offered by a particular seller changes the payoffs of this buyer and seller by the same amount.     

The Effect of Organizational form on Information Flow and Decision Quality: Informational Cascades in Group Decision Making

This paper identifies a disadvantage to decision making in a team. We show that in some cases available information is lost due to sequential communication that results in informational cascades. Although incentive contracts exist that prevent cascades, in some cases these contracts do not maximize shareholders' expected residual value and cascades are tolerated in equilibrium. Cascades never occur in hierarchies that exogenously prevent communication. However, when the firm is organized as a hierarchy (and the agents are given the optimal hierarchical contract), in some cases agents will collude and sequentially communicate, admitting the possibility of cascades. In these cases, the principals must monitor and enforce the hierarchical process. When monitoring costs exceed the cost of cascades, the team is the optimal organizational form.     

The Regulation of Predatory Firms

This article investigates the issue of predation by a regulated firm. Since it has private information, a regulated firm obtains higher rents in case of successful predation: the fewer the competitors, the higher the marginal social value of the regulated firm's effort and the higher the informational rents. Both principals (the investor of a "target" firm and the regulator) have to provide some incentives to prevent predation: the investor has to reduce the sensitivity of refinancing to predation; the regulator has to lower the gain of successful predation. It is shown that there is a trade-off between the power of the regulatory incentive scheme and the regulated firm's incentives to prey. In addition, as deterring predation is costly, the investor and the regulator compete when offering contracts: each wants to free-ride on the other. Hence, predation may occur in equilibrium although it makes both principals worse off.     

The Regulation of Predatory Firms

This article investigates the issue ofpredation by a regulated firm. Since it has private information, a regulated firm obtains higher rents in case of successful predation: the fewer the competitors, the higher the marginal social value of the regulated firm's effort and the higher the informational rents. Both principals (the investor of a "target" firm and the regulator) have to provide some incentives to prevent predation: the investor has to reduce the sensitivity of refinancing to predation; the regulator has to lower the gain of successful predation. It is shown that there is a trade-off between the power of the regulatory incentive scheme and the regulated firm's incentives to prey. In addition, as deterring predation is costly, the investor and the regulator compete when offering contracts: each wants to free-ride on the other. Hence, predation may occur in equilibrium although it makes both principals worse off.     

Optimal coordination mechanisms in generalized principal–agent problems

The general principal–agent problem is formulated, in which agents have both private information and private decisions, unobservable to the principal. It is shown that the principal can restrict himself to incentive-compatible direct coordination mechanisms, in which agents report their information to the principal, who then recommends to them decisions forming a correlated equilibrium. In the finite case, optimal coordination mechanisms can be found by linear programming. Some basic issues relating to systems with many principals are also discussed. Non-cooperative equilibria between interacting principals do not necessarily exist, so quasi-equilibria are defined and shown to exist.     

Equilibria in a class of aggregative location games

Consider a multimarket oligopoly, where firms have a single license that allows them to supply exactly one market out of a given set of markets. How does the restriction to supply only one market influence the existence of equilibria in the game? To answer this question, we study a general class of aggregative location games where a strategy of a player is to choose simultaneously both a location out of a finite set and a non-negative quantity out of a compact interval. The utility of each player is assumed to depend solely on the chosen location, the chosen quantity, and the aggregated quantity of all other players on the chosen location. We show that each game in this class possesses a pure Nash equilibrium whenever the players’ utility functions satisfy the assumptions negative externality, decreasing marginal utility, continuity, and Location–Symmetry. We also provide examples exhibiting that, if one of the assumptions is violated, a pure Nash equilibrium may fail to exist.     

引入自有品牌的供应链激励机制设计研究

针对引入自有品牌的供应链激励机制设计问题,首先在对称信息和非对称信息下建立由两个制造商和一个零售商组成的供应链激励机制模型,接着分析引入自有品牌的供应链激励机制均衡结果,最后对自有品牌引入前后的均衡结果进行比较。通过分析发现,零售商在制造商品牌上的努力水平始终不超过其在自有品牌上的努力水平;在对称信息下,零售商引入自有品牌肯定会使制造商受到损失,而在非对称信息下制造商可能会从中获利。     

A mechanism design approach to allocating central government funds among regional development agencies

To allocate central government funds among regional development agencies, we look for mechanisms that satisfy three important criteria: efficiency, (individual and coalitional) strategy proofness (a.k.a. dominant strategy incentive compatibility), and fairness. We show that only a uniform mechanism satisfies all three. We also show that all efficient and strategy proof mechanisms must function by assigning budget sets to the agencies and letting them freely choose their optimal bundle. In choosing these budget sets, the agencies’ private information has to be taken into account in a particular way. The only way to additionally satisfy a weak fairness requirement (regions with identical preferences should be treated equally) is to assign all agencies the same budget set, as does the uniform mechanism. Finally and maybe more importantly, we show that the central government should not impose constraints on how much to fund an activity (e.g. by reserving some funds only for a particular activity): otherwise, there are no efficient, strategy proof and fair mechanisms, no matter how small these constraints are.     

Non-cooperative games on hyperfinite Loeb spaces

We present a particular class of measure spaces, hyperfinite Loeb spaces, as a model of situations where individual players are strategically negligible, as in large non-anonymous games, or where information is diffused, as in games with imperfect information. We present results on the existence of Nash equilibria in both kinds of games. Our results cover the case when the action sets are taken to be the unit interval, results now known to be false when they are based on more familiar measure spaces such as the Lebesgue unit interval. We also emphasize three criteria for the modelling of such game-theoretic situations—asymptotic implementability, homogeneity and measurability—and argue for games on hyperfinite Loeb spaces on the basis of these criteria. In particular, we show through explicit examples that a sequence of finite games with an increasing number of players or sample points cannot always be represented by a limit game on a Lebesgue space, and even when it can be so represented, the limit of an existing approximate equilibrium may disappear in the limit game. Thus, games on hyperfinite Loeb spaces constitute the ‘right' model even if one is primarily interested in capturing the asymptotic nature of large but finite game-theoretic phenomena.     

Simple collective equilibria in stopping games

At each moment in time, an alternative from a finite set is selected by a stochastic process. Players observe the selected alternative and sequentially cast a yes or a no vote. If the set of players casting a yes vote is decisive for the selected alternative, it is accepted and the game ends. Otherwise the next period begins. We refer to this class of problems as stopping games. Collective choice games, quitting games, and coalition formation games are particular examples. When the core of a stopping game is non-empty, a subgame perfect equilibrium in pure stationary strategies is shown to exist. But in general, even subgame perfect equilibria in mixed stationary strategies may not exist. We show that aggregate voting behavior can be summarized by a collective strategy. We insist on pure strategies, allow for simple forms of punishment, and provide a constructive proof to show that so-called two-step simple collective equilibria always exist. This implies the existence of a pure strategy subgame perfect equilibrium. We apply our approach to the case with three alternatives exhibiting a Condorcet cycle and to a model of redistributive politics.     

Delegation in a mixed oligopoly: the case of multiple private firms

Previous research examining mixed duopolies shows that the use of an optimal incentive contract for the public firm increases welfare and that privatization reduces welfare. We demonstrate that these results do not generalize to a mixed oligopoly with multiple private firms. We derive the optimal incentive contract for a public firm that weighs both profit and welfare and show that its use may either increase or decrease welfare depending on the number of private firms and the exact nature of costs. We also identify the conditions that determine whether or not privatizing the public firm facing an optimal incentive contract reduces welfare. Copyright © 2008 John Wiley & Sons, Ltd.     

Incentive regulation and performance measurement of Taiwan’s incineration plants: an application of the four-stage DEA method

The aim of this paper is to provide a technical efficiency assessment of Taiwan’s incineration plants as the basis of incentive regulation schemes. We integrate the four-stage approach with Simar and Wilson’s (in J Econom 136:31–64, 2007) double bootstrapping to filter out the impacts of external variables in the efficiency measurement. Empirical results show that there is room for 15 % cost reductions and capacity, ownership, location and experience are all influential in improving the performance of these plants. We also demonstrate how the results can be applied to modify a yardstick incentive scheme.     

Computability of simple games: A characterization and application to the core

The class of algorithmically computable simple games (i) includes the class of games that have finite carriers and (ii) is included in the class of games that have finite winning coalitions. This paper characterizes computable games, strengthens the earlier result that computable games violate anonymity, and gives examples showing that the above inclusions are strict. It also extends Nakamura’s theorem about the nonemptyness of the core and shows that computable games have a finite Nakamura number, implying that the number of alternatives that the players can deal with rationally is restricted.     

Proposing online game loyalty and its antecedents considering gender as a moderator: a qualitative study

This study discusses the formation of consumer loyalty in the context of online games. Loyalty to a specific online game may be conceptualized in terms of repeat patronage, switching behavior, and word-of-mouth recommendations toward the game. A conceptual model is proposed. In the model, virtual power-status, incentive utility, relational interacting behavior, and feature enhancement indirectly influence loyalty through the mediation of satisfaction and commitment. Gender is proposed to moderate each model path given that individuals with stronger feminine or masculine identities are likely to make repeated consumption on online games based on different game product choices accordingly. Finally, the implications of the proposed model and suggestions for future research are also discussed.     

IS THERE A CONFLICT BETWEEN COMMERCIAL GAIN AND CONCERN FOR THE POOR? EVIDENCE FROM PRIVATE SCHOOLS FOR THE POOR IN INDIA AND NIGERIA

In many developing countries, private unaided schools are serving the poor in large numbers. Some commentators view their presence as undesirable - in particular assuming that there is a conflict between'commercial gain' and 'concern for the poor'. We show one way in which there is no conflict - the private unaided schools offer free or concessionary places to the poorest of the poor. Using data from a random sample of schools in Hyderabad, India, and a smaller sample in Makoko, Nigeria, we show that such places range from 10–20% of all places offered.