Mathematics and Financial Economics

, Volume 5, Issue 4, pp 269–297 | Cite as

Efficiency and equilibria in games of optimal derivative design

  • Ulrich Horst
  • Santiago Moreno-BrombergEmail author


In this paper, optimal derivative design when multiple firms compete for heterogenous customers is studied. Ties in the agents’ best responses generate discontinuous payoffs. Efficient tie-breaking rules are considered: In a first step, the model presented by Carlier et al. (Math Financ Econ 1:57–80, 2007) is extended, and results of Page and Monteiro (J Math Econ 39:63–109, 2003, J Econ Theory 134:566–575, 2007, Econ Theory 34:503–524, 2008) are used to prove the existence of (mixed-strategies) Nash equilibria. In a second step, the case of risk minimizing firms is studied. Socially efficient allocations are introduced, and their existence is proved. In particular, the entropic risk measure is considered.


Adverse selection Competing mechanisms Delegation principle Risk sharing Pareto optimality 

JEL Classification

C62 C72 D43 D82 G14 


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Institut für Mathematik, Humboldt-Universität zu BerlinBerlinGermany
  2. 2.Institut für Banking und Finance, Universität ZürichZurichSwitzerland

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