Product differentiation with multiple qualities

We study subgame-perfect equilibria of the classical quality-price, multistage game of vertical product differentiation. Each of two firms can choose the levels of an arbitrary number of qualities. Consumers’ valuations are drawn from independent and general distributions. The unit cost of production is increasing and convex in qualities. We characterize equilibrium prices, and the effects of qualities on the rival’s equilibrium price in the general model. Equilibrium qualities depend on what we call the Spence and price-reaction effects. For any equilibrium, we characterize conditions for quality differentiation.Accepted manuscrip

A journey for your beautiful mind: Economic graduate study and research

A lecture to graduate students of the joint Economics Ph.D. program of the Department of Economics, University of Bergen, and the Norwegian School of Economics

Changing preferences: an experiment and estimation of market-incentive effects on altruism

This paper studies how altruistic preferences are changed by markets and incentives. We conduct a laboratory experiment in a within-subject design. Subjects are asked to choose health care qualities for hypothetical patients in monopoly, duopoly, and quadropoly. Prices, costs, and patient benefits are experimental incentive parameters. In monopoly, subjects choose quality to tradeoff between profits and altruistic patient benefits. In duopoly and quadropoly, we model subjects playing a simultaneous-move game. Each subject is uncertain about an opponent's altruism, and competes for patients by choosing qualities. Bayes-Nash equilibria describe subjects' quality decisions as functions of altruism. Using a nonparametric method, we estimate the population altruism distributions from Bayes-Nash equilibrium qualities in different markets and incentive configurations. Markets tend to reduce altruism, although duopoly and quadropoly equilibrium qualities are much higher than those in monopoly. Although markets crowd out altruism, the disciplinary powers of market competition are stronger. Counterfactuals confirm markets change preferences.Accepted manuscrip

Product Differentiation with Multiple Qualities

We study subgame-perfect equilibria of the classical quality-price, multistage game of vertical product differentiation. Each firm can choose the levels of an arbitrary number of qualities. Consumers’ valuations are drawn from independent and general distributions. The unit cost of production is increasing and convex in qualities. We characterize equilibrium prices, and the equilibrium effects of qualities on the rival’s price in the general model. We present necessary and sufficient conditions for equilibrium differentiation in any of the qualities

Service motives and profit incentives among physicans

We model physicians as health care professionals who care about their services and monetary rewards. These preferences are heterogeneous. Different physicians trade off the monetary and service motives differently, and therefore respond differently to incentive schemes. Our model is set up for the Norwegian health care system. First, each private practice physician has a patient list, which may have more or less patients than he desires. The physician is paid a fee-for-service reimbursement and a capitation per listed patient. Second, a municipality may obligate the physician to perform 7.5 hours per week of community services. Our data are on an unbalanced panel of 435 physicians, with 412 physicians for the year 2002, and 400 for 2004. A physician’s amount of gross wealth and gross debt in previous periods are used as proxy for preferences for community service. First, for the current period, accumulated wealth and debt are predetermined. Second, wealth and debt capture lifestyle preferences because they correlate with the planned future income and spending. The main results show that both gross debt and gross wealth have negative effects on physicians’ supply of community health services. Gross debt and wealth have no effect on fee-for-service income per listed person in the physician’s practice, and positive effects on the total income from fee-for-service; hence, the higher income from fee-for-service is due to a longer patient list. Patient shortage has no significant effect on physicians’ supply of community services, a positive effect on the fee-for-service income per listed person, and no effect on the total income from fee-for service. These results confirm physician preference heterogeneity.physicians; incentive schemes; patient list; fee-for-service reimbursement; capitation per listed patient

Subsidy design: wealth versus benefits

A government would like to subsidize an indivisible good. Consumers' valuations of the good vary according to their wealth and benefits from the good. A subsidy scheme may be based on consumers' wealth or benefit information. We translate a wealth-based policy to a benefit-based policy, and vice versa, and give a necessary and sufficient condition for the pair of policies to implement the same assignment: consumers choose to purchase the good under the wealth-based policy if and only if they choose to do so under the translated benefit-based policy. General taxation allows equivalent policies to require the same budge

Information Disclosure and the Equivalence of Prospective Payment and Cost Reimbursement

A health care provider chooses unobservable service-quality and cost-reduction efforts. The efforts produce quality and cost efficiency. An insurer observes quality and cost, and chooses how to disclose this information to consumers. The insurer also decides how to pay the provider. In prospective payment, the insurer fully discloses quality, and sets a prospective payment price. In cost reimbursement, the insurer discloses a value index, a weighted average of quality and cost efficiency, and pays a margin above cost. The first-best quality and cost efforts can be implemented by prospective payment and by cost reimbursement. Cost reimbursement with value index eliminates dumping and cream skimming. Prospective payment with quality index eliminates cream skimming

Experience benefits and firm organization

A principal needs a worker for the production of a good. The worker can be hired as an internal agent, or an external agent under a contract. These two organizational modes correspond to in-house production and outsourcing, respectively. In each case, the agent earns experience benefits: future monetary returns from managing production, reputation, and enjoyment. The principal would like to extract experience benefits, and can do so when production is outsourced. However, the external agent earns information rent from private information about production costs. The principal cannot fully extract experience benefits when production is in-house because the internal agent must be provided with a minimum income, although the principal has full information on production costs. Our theory proposes a new trade-off, one between information rent under outsourcing and experience rent under in-house production. The principal chooses outsourcing when experience benefits are high, but her organizational choice may be socially inefficient

Vaccination equilibrium: externality and efficiency

Accepted manuscrip

Moral hazard, insurance, and some collusion

A risk-averse consumer purchases an insurance policy; if she suffers a loss, she may receive services from a provider to recover some of the loss. Only the consumer and the provider know if the loss has actually occurred. The provider's behavior is uncertain. With some positive probability, the provider is honest, reporting the loss information truthfully to the insurer; with the complementary probability, the provider reports the information strategically, by writing a side-contract with the consumer to maximize the joint surplus of the provider-consumer coalition. We show that there is a loss of generality in considering only collusion-proof contracts, and characterize equilibria implemented by collusion-proof and noncollusion-proof contracts. When the probability of a provider acting collusively is small, the equilibrium contract is not collusion-proof but approximately first-best. When the probability of a provider acting collusively is large, the equilibrium contract is independent of this probability and identical to the equilibrium collusion-proof contract when the provider is collusive with probability 1