Efficiency and Equilibria in Games of Optimal Derivative Design

Ulrich Horst and Santiago Moreno-Bromberg

Papers from arXiv.org

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. 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. In a first step, the model presented by Carlier, Ekeland & Touzi (2007) of optimal derivative design by profit-maximizing agencies is extended to a multiple--firm setting, and results of Page & Monteiro (2003, 2007, 2008) are used to prove the existence of (mixed-strategies) Nash equilibria. On a second step we consider the more complex case of risk minimizing firms. Here the concept of socially efficient allocations is introduced, and existence of the latter is proved. 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.

Date: 2011-07
New Economics Papers: this item is included in nep-cta and nep-gth
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Citations: View citations in EconPapers (15)

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http://arxiv.org/pdf/1107.0839 Latest version (application/pdf)

Related works:
Working Paper: Efficiency and equilibria in games of optimal derivative design (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1107.0839

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