Innovation management in organizations

This paper poses the question of how a firm should optimally choose both its organization and its compensation in the pursuit of innovation. One key result is that incentive pay arises as a robust instrument of innovation management both with and without delegation, although in the present model its primary purpose is not to elicit more effort for the creation of new ideas, but to ensure that new ideas are implemented if and only if this is efficient. While without delegation, the firm may “underinvest” in innovation, with delegation the opposite bias may arise as new ideas may be implemented too often (“overinvestment”). The optimal organizational choice trades off these two biases.     

Selectivity in hierarchical social systems

We consider a selection process and a hierarchical institution in a dynamic model as in Harrington (1998) [4], where agents are “climbing the pyramid” in a rank-order contest based on the “up or out” policy. Agents are matched in pairs to compete, and each pair faces a particular environment. They are ranked according to the quality of their performances in this particular environment, and a fraction of the highest ranked agents are promoted. The size of this fraction characterizes the selectivity of the process, and we distinguish between local and global selectivity. We study the role of the degree of selectivity in the dynamic process where types of agent differ in their expected performances. Surprisingly, we find that an increase in the selectivity of the process can be detrimental to the agents with the highest expected performances and can increase the survivability of the lesser performing. However, if the selectivity decreases, the only survivor is the agent with the highest expected performance.     

A characterization of consistent collective choice rules

We characterize a class of collective choice rules such that collective preference relations are consistent. Consistency is a weakening of transitivity and a strengthening of acyclicity requiring that there be no cycles with at least one strict preference, which excludes the possibility of a “money pump.” The properties of collective choice rules used in our characterization are unrestricted domain, strong Pareto, anonymity and neutrality. If there are at most as many individuals as there are alternatives, the axioms provide an alternative characterization of the Pareto rule. If there are more individuals than alternatives, however, further rules become available.     

The possibility of judgment aggregation on agendas with subjunctive implications

The new field of judgment aggregation aims to find collective judgments on logically interconnected propositions. Recent impossibility results establish limitations on the possibility to vote independently on the propositions. I show that, fortunately, the impossibility results do not apply to a wide class of realistic agendas once propositions like “if a then b” are adequately modelled, namely as subjunctive implications rather than material implications. For these agendas, consistent and complete collective judgments can be reached through appropriate quota rules (which decide propositions using acceptance thresholds). I characterise the class of these quota rules. I also prove an abstract result that characterises consistent aggregation for arbitrary agendas in a general logic.     

The contracting value of tainted reports in cost reduction settings

While cost accounting is a well-developed discipline with a rich institutional past, it is criticized for being manipulable. This criticism is due, in part, to the existence of multiple, yet equally accepted cost allocation procedures or cost estimation techniques. Employing a principal-agent model, cost accounting is modeled as a menu of alternative methods which, conditional on agent effort, produce noisy, unbiased and independently distributed (i.e., equally defensible) measures from which a single realization is selected ex post as the report used to contract with the agent. Assuming that the report does not indicate which method produced it, the report modeled is “tainted” in that the lowest (most favorable to the agent) outcome is reported, where the “amount” of tainting corresponds to the menu's size. The paper identifies bright-line conditions where the principal's expected net payoff is independent of the amount of tainting, demonstrating that tainting does not necessarily affect the report's incentive value.     

Modelling cost complementarities in terms of joint production

Cost complementarities arise from synergies in the production of heterogeneous goods. It is shown that synergies can be accounted for in terms of shared public inputs (roughly) if and only if synergies decrease as the scope of production increases. This case of “substitutive” synergies is argued to be typical. The key technical tool is a novel interpretation of conjugate Moebius inversion in terms of higher-order differences.     

Endogenous asset ownership structures in deregulated markets

This paper determines the equilibrium ownership structure in an emerging market deregulated by a joint privatization and investment liberalization. It is shown that bidding competition in the privatization stage is not sufficient for reaching an efficient equilibrium market structure. Competition in the ensuing entry stage is also required. Otherwise, one firm can induce another to take the role of the weak firm in the subsequent product market competition, by making concessions in the bidding in the privatization auction. It is also shown that Employment Guarantees may “help” the buyer of the privatized firm “abstain” from investing and thus create a less competitive market structure.     

Tax treatment of owner occupied housing and wealth inequality

We construct a quantitative general equilibrium lifecycle model with housing tenure decisions to investigate the degree to which wealth inequality in the United States is affected by the preferential tax treatment of home-ownership. Favorable tax treatment of owner occupied housing in the form of home mortgage interest and property tax deductibility, and the untaxed nature of imputed rents, provides a financial incentive for home-ownership over renting as well as an incentive to “over-consume” housing since houses are not fungible. Since the favorable tax treatment of housing disproportionately creates tax savings for the upper quantiles of the income distribution, we quantify how it contributes to the heavily right skewed distribution of wealth in the United States using data from the Survey of Consumer Finances. We consider a revenue-neutral government response to the counter factual experiments of removing the current tax structure on housing. Our quantitative analysis shows that, in terms of distributional effects, removing all of the preferential tax treatments results in an aggregate increase in welfare. However, we do not find any reduction in inequality. We also find that while some re-allocation toward financial assets occurs, households primarily increase their consumption when imputed housing rents are taxed and the property tax deduction is removed. Thus housing tax policy may be effective at encouraging more overall saving through housing assets.     

On the size and structure of group cooperation

When time preferences are heterogeneous and bounded away from one, how “much” cooperation can be achieved by an ongoing group? How does group cooperation vary with the group's size and structure? This paper examines characteristics of cooperative behavior in the class of symmetric, repeated games of collective action. These are games characterized by “free rider problems” in the level of cooperation achieved. The Repeated Prisoner's Dilemma games is a special case.We characterize the level of maximal average cooperation (MAC), the highest average level of cooperation, over all stationary subgame perfect equilibrium paths, that the group can achieve. The MAC is shown to be increasing in monotone shifts, and decreasing in mean preserving spreads of the distribution of discount factors. The latter suggests that more heterogeneous groups are less cooperative on average. Finally, in a class of Prisoner's Dilemma games, we show under weak conditions that the MAC exhibits increasing returns to scale in a range of heterogeneous discount factors. That is, larger groups are more cooperative, on average, than smaller ones. By contrast, when the group has a common discount factor, the MAC is invariant to group size.     

Agency conflicts in the presence of random private benefits from project implementation

We study a contracting problem where a principal delegates the decision to implement a “project” to an agent who obtains private information about the value of the project before making the implementation decision. Moral hazard arises because the agent gets private random non-contractible benefits, or incurs private random non-contractible costs, if the project is implemented. This contracting problem is pervasive, when “project” and “benefits” are interpreted broadly.     

Collusion and discrimination in organizations

In a principal-multi-agent setting we investigate how optimal contracts should be modified under relative performance evaluation when agents collude. Agents may write side-contracts, which are not contingent on their effort choices but indirectly control them through side-transfers. We show that the optimal collusion-proof contract is to introduce a “discriminatory policy” in the sense that the wage schemes offered to agents depend on their identities even if they are identical with respect to productive abilities. Such discriminatory wage schemes explain the organizational strategy of “divide and conquer” as an optimal response to collusion.     

The structure of strategy-proof social choice — Part I: General characterization and possibility results on median spaces

We define a general notion of single-peaked preferences based on abstract betweenness relations. Special cases are the classical example of single-peaked preferences on a line, the separable preferences on the hypercube, the “multi-dimensionally single-peaked” preferences on the product of lines, but also the unrestricted preference domain. Generalizing and unifying the existing literature, we show that a social choice function is strategy-proof on a sufficiently rich domain of generalized single-peaked preferences if and only if it takes the form of voting by issues (“voting by committees”) satisfying a simple condition called the “Intersection Property.”Based on the Intersection Property, we show that the class of preference domains associated with “median spaces” gives rise to the strongest possibility results; in particular, we show that the existence of strategy-proof social choice rules that are non-dictatorial and neutral requires an underlying median space. A space is a median space if, for every triple of elements, there is a fourth element that is between each pair of the triple; numerous examples are given (some well-known, some novel), and the structure of median spaces and the associated preference domains is analysed.     

The extended and generalized Shapley value: Simultaneous consideration of coalitional externalities and coalitional structure

The Shapley value assigns, to each game that is adequately represented by its characteristic function, an outcome for each player. An elaboration on the Shapley value that assigns, to characteristic function games, a “partition function” outcome is broadly established and accepted, but elaborations to encompass games with externalities (represented by partition functions) are not. Here, I show that simultaneous consideration of the two elaborations (“generalization” and “extension”) obtains a unique Shapley-type value for games in partition function form. The key requirement is that the “Extended, Generalized Shapley Value” (EGSV) should be “recursive”: the EGSV of any game should be the EGSV of itself. This requirement forces us to ignore all but the payoffs to bilateral partitions. The EGSV can be conceptualized as the ex ante value of a process of successive bilateral amalgamations. Previous Shapley value extensions, if generalized, are not recursive; indeed, they iterate to the EGSV.     

Superstition and “lucky” apartments: Evidence from transaction-level data

Using a sample of apartment transactions during 2004–2006 in Chengdu, China, we investigate the impact of superstitions in the Chinese real estate market. Numerology forms an important component of Chinese superstitious lore, with the numbers 8 and 6 signifying good luck, and the number 4 bad luck. We find that secondhand apartments located on floors ending with “8” fetch, on average, a 235 RMB higher price (per square meter) than on other floors. For newly constructed apartments, this price premium disappears due to uniform pricing of new housing units, but apartments on floors ending in an “8” are sold, on average, 6.9 days faster than on other floors. Buyers who have a phone number containing more “8”’s are more likely to purchase apartments in a floor ending with “8”; this suggests that at least part of the price premium for “lucky” apartments arises from the buyers’ superstitious beliefs.     

Oligopsony and the distribution of wages

We propose a simple model of wage dispersion arising from oligopsonistic competition in the labor market. Our model has workers who are equally able but who have heterogeneous preferences for non-wage characteristics, while employers have heterogeneous productivity characteristics. We completely and explicitly solve for the equilibrium wage distribution and show that “inside” and “outside” forces interact in wage determination. This interaction generates spillover effects of minimum wages in a manner which is consistent with the empirical evidence.     

Estimating spatial differences in the Brazilian cost of living with household location choices

This paper uses a model of optimal household residential decisions to construct a comprehensive “true” spatial cost of living index with readily available Brazilian census data. We find evidence of a decreasing or U-shaped relationship (differing with education level and region) between the cost of living and urbanization, suggesting that both market disintegration and congestion play roles in raising costs. Controlling for spatial differences in the cost of living is shown to have important consequences for the determinants of poverty and (contrary to many previous results) to increase income inequality.     

Employment changes, the structure of adjustment costs, and plant size

In this paper, we analyze the pattern of employment adjustment using a rich panel of Norwegian plants. The data suggest that the frequency of episodes of zero net employment changes is inversely related to plant size. We develop and estimate a simple “q” model of labor demand, allowing for the presence of fixed, linear and quadratic components of adjustment costs. The econometric evidence supports the existence of purely fixed components, unrelated to plant size. As a result, the range of inaction is wider for smaller plants. The quadratic component of costs is also always important. In most specifications fixed costs are higher for employment contractions. The quadratic component is higher during employment contractions compared to expansions for small plants, while this is not true for larger plants.     

Asymmetric English auctions

This paper studies equilibria of the n-bidder single-object English, or open ascending price, auction in a setting with interdependent values and asymmetric bidders. Maskin (in: H. Siebert (Ed.), Privatization, Institut fur Weltwirtschaften der Universität Kiel, Kiel, 1992, pp. 115-136.) showed that if the values satisfy a “single crossing” condition, then the two-bidder English auction has an efficient equilibrium. In this paper, two extensions of the single crossing condition, the “average crossing” condition and the “cyclical crossing” condition, are introduced. The main result is that under either of these conditions the n-bidder English auction has an efficient equilibrium.     

Not just babble: Opening the black box of communication in a voluntary contribution experiment

We let subjects in a voluntary contribution experiment make non-binding numerical announcements about their “possible” contributions and, in some treatments, send written promises to contribute specific amounts. We find that announcements were responded to both by others’ announcements and by real play, for example announcements led to costly punishment when found to be misleading. We also find that adding pre-play announcements to treatments with punishment can increase efficiency by letting cost-free warnings substitute for costly punishment. The threat of punishing false announcements and promises helps reduce false signals, but only when promise statements can be sent is the effect sufficient for achieving greater efficiency.     

Uniqueness of stationary equilibria in a one-dimensional model of bargaining

We prove uniqueness of stationary equilibria in a one-dimensional model of bargaining with quadratic utilities, for an arbitrary common discount factor. For general concave utilities, we prove existence and uniqueness of a “minimal” stationary equilibrium and of a “maximal” stationary equilibrium. We provide an example of multiple stationary equilibria with concave (nonquadratic) utilities.