Discounting and altruism to future decision-makers

Is discounting of future decision-makers’ consumption utilities consistent with “pure” altruism toward those decision-makers, that is, a concern that they are better off according to their own, likewise forward-looking, preferences? It turns out that the answer is positive for many but not all discount functions used in the economics literature. In particular, “hyperbolic” discounting of the form used by Phelps and Pollak (Rev. Econ. Studies 35 (1968) 201) and Laibson (Quart. J. Econ. 112 (1997) 443) is consistent with exponential altruism towards future generations. More generally, we establish a one-to-one relationship between discount functions and altruism weight systems, and provide sufficient, as well as necessary, conditions for discount functions to be consistent with pure altruism.     

To be consumed with moderation

We study the optimal behavior of a hyperbolic discounting agent who has incomplete information about his own preferences and can only learn them through consumption. We show that, even if moderate current consumption and moderate future consumption always dominates abstinence, the agent may optimally decide not to consume as a commitment device against inefficient learning that would lead to future excesses. This provides a rationale for why smokers, gamblers or compulsive buyers stick to second-best personal rules of behavior - such as “abstinence” - without invoking standard habit formation arguments. We also study how urges modify the strategy of the individual.     

Short-term investment and equilibrium multiplicity

I study the effects of the heterogeneity of traders’ horizons in a 2-period NREE model where all traders are risk averse. Owing to risk premia, short-termism generates multiple equilibria. In particular two distinct patterns arise. Along the “low trading intensity equilibrium,” short termists anticipate a thinner second period market and, owing to risk aversion, scale back their trades. This reduces both risk sharing and information impounding into prices, enforcing a high returns’ volatility-low price informativeness equilibrium. Along the “high trading intensity equilibrium,” the opposite happens and a low volatility-high price informativeness equilibrium arises. Thus, in the presence of short-term behavior and traders’ risk aversion, periods of high volatility are a signal of poor price informativeness.     

Theories of behavior in principal-agent relationships with hidden action

In a laboratory experiment, we investigate behavior in a principal-agent situation with moral hazard. We evaluate the predictive success of two theories. One is the standard agency theory, which assumes that the agent will accept any contract offer that satisfies his participation constraint, typically requiring zero expected utility. The other is the “fair-offer” theory suggested by Keser and Willinger [2000. Principals’ principles when agents’ actions are hidden. International Journal of Industrial Organization 18 (1), 163-185], which requires that the principal provide full insurance against losses to the agent and leave him a share of at most 50% of the generated surplus. The treatment variable of our experiment is the cost of effort. As effort costs increase, expected net surplus of a contract decreases. We observe that fair-offer theory generally predicts observed contract offers better than standard agency theory. However, the predictive success of the fair-offer theory decreases, while the one of standard agency theory increases with decreasing expected net surplus.     

Cognitive constraints, contraction consistency, and the satisficing criterion

A theory of decision making is proposed that offers an axiomatic basis for the notion of “satisficing” postulated by Herbert Simon. The theory relaxes the standard assumption that the decision maker always fully perceives his preferences among the available alternatives, requiring instead that his ability to perceive any given preference be decreasing with respect to the complexity of the choice problem at hand. When complexity is aligned with set inclusion, this exercise is shown to be equivalent to abandoning the contraction consistency axiom of classical choice theory.     

Bidding for the future: signaling in auctions with an aftermarket

This paper considers auctions where bidders compete for an advantage in future strategic interactions. When bidders wish to exaggerate their private information, equilibrium bidding functions are biased upwards as bidders attempt to signal via the winning bid. Signaling is most prominent in second-price auctions where equilibrium bids are “above value.” In English and first-price auctions, signaling is less extreme since the winner incurs the cost of her signaling choice. The opportunity to signal lowers bidders’ payoffs and raises revenue. When bidders understate their private information, separating equilibria need not exist and the auction may not be efficient.     

Risk taking by agents: The role of ex-ante and ex-post accountability

We study the role of accountability in situations where an agent makes risky decisions for a principal. We observe that in the absence of accountability, agents choose less risk averse investments for the principal than investors who invest for their own account. Accountability mitigates the observed decrease in risk aversion. Differences are observed between situations where agents are accountable for their decision (“ex-ante”) and where they are accountable for the outcome (“ex-post”).     

Financial expectations and the ‘left-right’ political value scale: Testing for the POUM hypothesis

Using a uniquely defined indicator of political ideology we test whether expectations of future financial well-being have an effect on an individual’s position on the political ‘left-right’ spectrum. We find evidence of a significant “prospect of upward mobility” effect.     

Do new brooms sweep clean? When and why dismissing a manager increases the subordinates’ performance

If a manager stays in office for a long time he will have learned much about his subordinates. Thus competition among them will be weak as the manager has made up his mind who is suited best for which position. With a new manager the “race” for favorable tasks is restarted leading subordinates to exert higher effort. But for the firm-owner the trade-off arises that with a new manager effort is larger but the quality of task allocation is worse since information is lost. The optimal dismissal policy will be nonmonotonic in the expected heterogeneity of the subordinates’ abilities.     

An alternative proof of Fishburn’s axiomatization of lexicographic preferences

We present an alternative proof of Fishburn’s (1975) axiomatization of lexicographic preferences. The essence of our proof lies in identifying “an extremely pivotal factor”. Our proof reconfirms the strong interconnections between Arrow’s and Gibbard–Satterthwaite’s theorems with Fishburn’s axiomatization.     

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.     

Preponderance of evidence

This paper investigates the incentive properties of the standard of proof for a finding of negligence when evidence about injurers’ behavior is imperfect. We show that a “more-likely-than-not” decision rule provides maximal incentives for potential tort-feasors to exert care. An injurer is then held liable whenever inadequate care appears more likely than due care, and not liable otherwise. Our analysis provides a deterrence rationale for the exclusionary rules of evidence found in common law and the preponderance of evidence standard of proof.     

Building rational cooperation

Experiments have shown that people have a natural taste for cooperation. This paper takes a first step in understanding how formal and informal institutions might be designed to utilize these private tastes to facilitate more efficient economic interactions. We examine a twice-played prisoners’ dilemma in which the total of the stakes in the two periods is fixed, but the distribution of these stakes can be varied across periods. We verify experimentally that it is best to “start small,” reserving most of the stakes for the second period.     

Viscous demand

In many markets, demand adjusts slowly to changes in prices, i.e., demand is “viscous”. This viscosity gives each firm some monopoly power, since it can raise its price above that of its competitors without immediately losing all of its customers. The resulting equilibrium pricing behavior and market outcomes can differ significantly from what one would predict in the absence of demand viscosity. In particular, the model explains the importance of market share as an investment, as well as “kinked demand curves”. It also explains how apparently “competitive” pricing behavior can lead to outcomes that mimic those of collusion.     

Winner's curse without overbidding

We report the results of a series of second-price auction experiments where each bidder's signal is given by a normally distributed value plus a normally distributed error. While bidders’ values differ in one treatment they are the same in another, which allows for a direct test of the “winner's curse” irrespective of confounding factors. Bidders may also fall prey to a “news curse” when they do not sufficiently take into account that signals and errors are correlated. We find that the effects of the winner's curse are mitigated by a news curse and loss or risk aversion.     

Asset return dynamics and the FX risk premium in a decentralized dealer market

The paper proposes a continuous time model of an FX market organized as a multiple dealership. The dealers have costly access to best available quotes. They interpret signals from the joint dealer-customer order flow and decide upon their own quotes and trades in the inter-dealer market. Each dealer uses the observed order flow to improve the subjective estimates of relevant aggregate variables, which are the sources of uncertainty. The risk factors are returns on domestic and foreign assets and the size of the cross-border dealer transactions in the FX market. These uncertainties have diffusion form and are dealt with according to the principles of portfolio optimization in continuous time. The model is used to explain the country, or risk, premium in the uncovered national return parity equation for the exchange rate. The two country premium terms that I identify in excess of the usual covariance term (consequence of the “Jensen inequality effect”) are: the dealer heterogeneity-induced inter-dealer market order flow component and the dealer Bayesian learning component. As a result, an “order flow-adjusted total return parity” formula links the excess FX return to both the “fundamental” factors represented by the differential of the national asset returns, and the microstructural factors represented by heterogeneous dealer knowledge of the aggregate order flow and the fundamentals.     

Voluntary formation of communities for the provision of public projects

In this paper we examine a group formation problem, where heterogeneous individuals partitioned themselves into communities, each choosing its own public project from the given space of feasible projects. The model is that of “horizontal product differentiation” where individuals display distinct preferences over the policy space. We consider the notion of “efficient” configuration that minimizes the total project-related costs and aggregate personalized costs of all individuals, and “sustainable” configurations, those are immune against breakaways by subgroups of individuals. Our main result is that, with a unidimensional project space and single-peaked personalized costs, every efficient partition is sustainable.     

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.     

Negotiation and take-it or leave-it in common agency with non-contractible actions

In a recent paper, Peters [Negotiation and take-it or leave-it in common agency, J. Econ. Theory 111 (2003) 189-228] identifies a set of restrictions on players’ preferences, called “no-externalities assumption”, under which, in common agency games, there is no loss of generality in restricting principals’ strategies to be take-it or leave-it offers. The present note provides an example to show that these conditions are not sufficient when the agent takes a non-contractible action.