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On Ponzi schemes in infinite horizon collateralized economies with default penalties

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  • V. Martins-da-Rocha
  • Yiannis Vailakis

Abstract

We show, by means of an example, that in models where default is subject to both collateral repossession and utility punishments, opportunities for doing Ponzi schemes are not always ruled out and (refined) equilibria may fail to exist. This is true even if default penalties are moderate as defined in Páscoa and Seghir (Game Econ Behav 65:270–286, 2009 ). In our example, asset promises and default penalties are chosen such that, if an equilibrium does exist, agents never default on their promises. At the same time collateral bundles and utility functions are such that the full repayment of debts implies that the asset price should be strictly larger than the cost of collateral requirements. This is sufficient to induce agents to run Ponzi schemes and destroy equilibrium existence. Copyright Springer-Verlag Berlin Heidelberg 2012

Suggested Citation

  • V. Martins-da-Rocha & Yiannis Vailakis, 2012. "On Ponzi schemes in infinite horizon collateralized economies with default penalties," Annals of Finance, Springer, vol. 8(4), pages 455-488, November.
    • Handle: RePEc:kap:annfin:v:8:y:2012:i:4:p:455-488
    DOI: 10.1007/s10436-012-0209-y
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    References listed on IDEAS

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    1. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    2. Aloisio Araujo & Mário Rui Páscoa & Juan Pablo Torres-Martínez, 2002. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Econometrica, Econometric Society, vol. 70(4), pages 1613-1638, July.
    3. Martins-da-Rocha, V. Filipe & Vailakis, Yiannis, 2012. "Harsh default penalties lead to Ponzi schemes: A counterexample," Games and Economic Behavior, Elsevier, vol. 75(1), pages 277-282.
    4. Felix Kubler & Karl Schmedders, 2003. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Econometrica, Econometric Society, vol. 71(6), pages 1767-1793, November.
    5. Páscoa, Mário Rui & Seghir, Abdelkrim, 2009. "Harsh default penalties lead to Ponzi schemes," Games and Economic Behavior, Elsevier, vol. 65(1), pages 270-286, January.
    6. repec:dau:papers:123456789/8093 is not listed on IDEAS
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    1. Martins-da-Rocha, V. Filipe & Vailakis, Yiannis, 2012. "Harsh default penalties lead to Ponzi schemes: A counterexample," Games and Economic Behavior, Elsevier, vol. 75(1), pages 277-282.
    2. Uryszek Tomasz, 2015. "Long-term Sustainability Of Public Finance In The Central And Eastern EU Member States / Długoterminowe Zrównoważenie Finansów Publicznych w Krajach Europy Środkowej i Wschodniej Należących Do Ue," Comparative Economic Research, Sciendo, vol. 18(4), pages 47-61, December.
    3. Iraola, Miguel A. & Sepúlveda, Fabián & Torres-Martínez, Juan Pablo, 2019. "Financial segmentation and collateralized debt in infinite-horizon economies," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 56-69.

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    More about this item

    Keywords

    Collateral; Default penalties; Ponzi schemes; D52; D91;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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