Abstract
Asymmetric Choquet random walks are defined, in the form of dynamically consistent random walks allowing for asymmetric conditional capacities. By revisiting Kast and Lapied (Dynamically consistent Choquet random walk and real investments. Document de Travail n. 2010-33, GREQAM, HAL id: halhs-00533826, 2010b) and Kast et al. (Econ Model, 38:495–503, 2014) we show that some findings regarding the effects of ambiguity aversion are preserved in the more general framework, which is of interest in several applications to policy making, risk management, corporate decisions, real option valuation of investment/ disinvestment projects, etc. The effect of ambiguity on the higher moments is investigated, as well, as they have an interpretation in terms of the psychological attitude of a decision-maker towards ambiguity. Finally, some financial applications are provided as an illustration.
Similar content being viewed by others
References
Agliardi, E., Agliardi, R., & Spanjers, W. (2015). Convertible debt: Financing decisions and voluntary conversion under ambiguity. International Review of Finance, 15(4), 599–611.
Agliardi, E., Agliardi, R., & Spanjers, W. (2016). Corporate financing decisions under ambiguity: Pecking order and liquidity policy implications. Journal of Business Research, 69, 6012–6020.
Agliardi, E., & Sereno, L. (2011). The effects of environmental taxes and quotas on the optimal timing of emission reductions under Choquet–Brownian uncertainty. Economic Modelling, 28, 2793–2802.
Chateauneuf, A., Kast, R., & Lapied, A. (2001). Conditioning capacities and Choquet integrals: The role of comonotony. Theory and Decision, 51, 367–386.
Chen, Z., & Epstein, L. (2002). Ambiguity, risk, and asset returns in continuous time. Econometrica, 70, 1403–1443.
Driouchi, T., Trigeorgis, L., & Gao, Y. (2015a). Choquet-based European option pricing with stochastic (and fixed) strikes. Operations Research Spectrum, 37, 787–802.
Driouchi, T., Trigeorgis, L., & So, R. H. Y. (2015b). Option implied ambiguity and its information content: Evidence from the subprime crisis. Annals of Operations Research. doi:10.1007/s10479-015-2079-y.
Epstein, L., & Wang, T. (1994). Intertemporal asset pricing under Knightian uncertainty. Econometrica, 62, 283–322.
Guidolin, M., & Rinaldi, F. (2013). Ambiguity in asset pricing and portfolio choice: A review of the literature. Theory and Decision, 74, 183–217.
Hackbarth, D. (2009). Determinants of corporate borrowing: A behavioural perspective. Journal of Corporate Finance, 15, 389–411.
Kast, R., & Lapied, A. (2010a). Valuing future cash flows with non separable discount factors and non additive subject measures: Conditional Choquet capacities on time and uncertainty. Theory and Decision, 69(1), 27–53.
Kast, R., Lapied, A. (2010b). Dynamically consistent Choquet random walk and real investments. Document de Travail n. 2010-33, GREQAM, HAL id: halhs-00533826
Kast, R., Lapied, A., & Roubaud, D. (2014). Modelling under ambiguity with dynamically consistent Choquet random walks and Choquet–Brownian motions. Economic Modelling, 38, 495–503.
Kelsey, D., & Spanjers, W. (2004). Ambiguity in partnership. The Economic Journal, 114, 528–546.
Knight, F. H. (1921). Risk, uncertainty, and profit. Boston: Houghton Mifflin.
Lapied, A., & Toquebeuf, P. (2013). A note on re-examining the law of iterated expectations for Choquet decision makers. Theory and Decision, 74, 439–445.
Merton, R. C. (1969). Lifetime portfolio selection under uncertainty: The continuous-time case. The Review of Economics and Statistics, 51, 247–257.
Nishimura, K., & Ozaki, H. (2007). Irreversible investment and Knightian uncertainty. Journal of Economic Theory, 136, 668–694.
Trautman, S., & Van de Kuilen, G. (2013). Ambiguity attitudes. In G. Keren & G. Wu (Eds.), Blackwell handbook of judgment and decision making. Oxford: Blackwell.
Zhu, D., Xie, X., & Xie, J. (2012). When do people feel more risk? The effect of ambiguity tolerance and message source of purchasing interaction of earthquake insurance. Journal of Risk Research, 15, 951–965.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Agliardi, R. Asymmetric Choquet random walks and ambiguity aversion or seeking. Theory Decis 83, 591–602 (2017). https://doi.org/10.1007/s11238-017-9632-x
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11238-017-9632-x