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Efficiency and equilibria in games of optimal derivative design

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  • Horst, Ulrich
  • Moreno-Bromberg, Santiago

Abstract

In this paper the problem of optimal derivative design, profit maximization and risk minimization under adverse selection when multiple agencies compete for the business of a continuum of heterogenous agents is studied. In contrast with the principal-agent models that are extended within, here the presence of ties in the agents' best-response correspondences yields discontinuous payoff functions for the agencies. These discontinuities are dealt with via efficient tie-breaking rules. The main results of this paper are a proof of existence of (mixed-strategies) Nash equilibria in the case of profit-maximizing agencies, and of socially efficient allocations when the firms are risk minimizers. It is also shown that in the particular case of the entropic risk measure, there exists an efficient 'fix-mix' tie-breaking rule, in which case firms share the whole market over given proportions.

Suggested Citation

  • Horst, Ulrich & Moreno-Bromberg, Santiago, 2010. "Efficiency and equilibria in games of optimal derivative design," SFB 649 Discussion Papers 2010-035, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    • Handle: RePEc:zbw:sfb649:sfb649dp2010-035
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    8. Bielagk, Jana & Horst, Ulrich & Moreno-Bromberg, Santiago, 2019. "Trading under market impact: Crossing networks interacting with dealer markets," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 131-151.
    9. Michail Anthropelos, 2012. "The Effect of Market Power on Risk-Sharing," Papers 1206.0384, arXiv.org, revised May 2016.
    10. repec:hum:wpaper:sfb649dp2010-035 is not listed on IDEAS
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    15. Jana Bielagk & Ulrich Horst & Santiago Moreno--Bromberg, 2016. "A Principal-Agent Model of Trading Under Market Impact -Crossing networks interacting with dealer markets-," Papers 1607.04047, arXiv.org, revised Aug 2016.
    16. repec:hum:wpaper:sfb649dp2010-049 is not listed on IDEAS

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    Keywords

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    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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