nep-cta New Economics Papers
on Contract Theory and Applications
Issue of 2024‒01‒01
three papers chosen by
Guillem Roig, University of Melbourne


  1. Adverse selection in insurance By Dionne, Georges; Fombaron, Nathalie; Mimra, Wanda
  2. Randomisation with moral hazard: a path to existence of optimal contracts By Daniel Kr\v{s}ek; Dylan Possama\"i
  3. Staggered Contracts and Unemployment during Recessions By Effrosyni, Adamopoulou; Diez Catalan, Luis; Villanueva, Ernesto

  1. By: Dionne, Georges (HEC Montreal, Canada Research Chair in Risk Management); Fombaron, Nathalie (Université Paris-Nanterre); Mimra, Wanda (ESCP Business Schoo)
    Abstract: In this survey we present some of the more significant results in the literature on adverse selection in insurance markets. Sections 1 and 2 introduce the subject, and Section 3 discusses the monopoly model developed by Stiglitz (1977) for the case of single-period contracts, which has been extended by many authors to the multi-period case. The introduction of multi-period contracts raises issues that are discussed in detail; time horizon, discounting, commitment of the parties, contract renegotiation, and accident underreporting. Section 4 covers the literature on competitive contracts, where the analysis is more complicated because insurance companies must take competitive pressures into account when they set incentive contracts. As pointed out by Rothschild and Stiglitz (1976), there is not necessarily a Nash equilibrium when there is adverse selection. However, market equilibrium can be sustained when principals anticipate competitive reactions to their behavior. Multi-period contracting is discussed. We show that different predictions on the evolution of insurer profits over time can be obtained from different assumptions concerning the sharing of information between insurers about an individual's choice of contracts and accident experience. The roles of commitment and renegotiation between the parties to the contract are important. Section 5 introduces models that consider moral hazard and adverse selection simultaneously, and Section 6 covers adverse selection when people can choose their risk status. Section 7 discusses many extensions to the basic models such as risk categorization, multidimensional adverse selection, symmetric imperfect information, double-sided adverse selection, participating contracts, and nonexclusive contracting.
    Keywords: Adverse selection; insurance markets; monopoly; competitive contracts; self-selection mechanisms; single-period contracts; multi-period contracts; commitment; contract renegotiation; accident underreporting; risk categorization; participating contracts; nonexclusive contracting
    JEL: D80 D81 G22
    Date: 2023–11–30
    URL: http://d.repec.org/n?u=RePEc:ris:crcrmw:2023_005&r=cta
  2. By: Daniel Kr\v{s}ek; Dylan Possama\"i
    Abstract: We study a generic principal-agent problem in continuous time on a finite time horizon. We introduce a framework in which the agent is allowed to employ measure-valued controls and characterise the continuation utility as a solution to a specific form of a backward stochastic differential equation driven by a martingale measure. We leverage this characterisation to prove that, under appropriate conditions, an optimal solution to the principal's problem exists, even when constraints on the contract are imposed. In doing so, we employ compactification techniques and, as a result, circumvent the typical challenge of showing well-posedness for a degenerate partial differential equation with potential boundary conditions, where regularity problems often arise.
    Date: 2023–11
    URL: http://d.repec.org/n?u=RePEc:arx:papers:2311.13278&r=cta
  3. By: Effrosyni, Adamopoulou; Diez Catalan, Luis; Villanueva, Ernesto
    JEL: J23 J31 J50
    Date: 2023
    URL: http://d.repec.org/n?u=RePEc:zbw:vfsc23:277712&r=cta

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