Financial market equilibria with cumulative prospect theory
The paper first shows that financial market equilibria need not to exist if agents possess cumulative prospect theory preferences with piecewise-power value functions. This is due to the boundary behavior of the cumulative prospect theory value function, which might cause an infinite short-selling problem. But even when a non-negativity constraint on final wealth is added, non-existence can occur due to the non-convexity of CPT preferences, which might cause discontinuities in the agents' demand functions. This latter observation also implies that concavification arguments which has been used in portfolio allocation problems with CPT preferences do not apply to our general equilibrium setting with finite many agents. Existence of equilibria is established when non-negativity constraints on final wealth are imposed and there is a continuum of agents in the market. However, if the original prospect theory is used instead of cumulative prospect theory, then other discontinuity problems can cause non-existence of market equilibria even in this case.
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- Jagannathan, Ravi & Wang, Zhenyu, 1996.
" The Conditional CAPM and the Cross-Section of Expected Returns,"
Journal of Finance,
American Finance Association, vol. 51(1), pages 3-53, March.
- Ravi Jagannathan & Zhenyu Wang, 1996. "The conditional CAPM and the cross-section of expected returns," Staff Report 208, Federal Reserve Bank of Minneapolis.
- Schmeidler, David, 1969. "Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences," Econometrica, Econometric Society, vol. 37(4), pages 578-585, October.
- SCHMEIDLER, David, "undated". "Competitive equilibria in markets with a continuum of traders and incomplete preferences," CORE Discussion Papers RP 62, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 73-92.
- Shlomo Benartzi & Richard H. Thaler, 1993. "Myopic Loss Aversion and the Equity Premium Puzzle," NBER Working Papers 4369, National Bureau of Economic Research, Inc.
- Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
- Nicholas Barberis & Ming Huang, 2008. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," American Economic Review, American Economic Association, vol. 98(5), pages 2066-2100, December.
- Nicholas Barberis & Ming Huang, 2007. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," NBER Working Papers 12936, National Bureau of Economic Research, Inc.
- Allouch, Nizar & Le Van, Cuong & Page, Frank Jr., 2006. "Arbitrage and equilibrium in unbounded exchange economies with satiation," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 661-674, September.
- Nizar Allouch & Cuong Le Van & Frank H. Page, 2006. "Arbitrage and equilibrium in unbounded exchange economies with satiation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00096040, HAL.
- Hanqing Jin & Xun Yu Zhou, 2008. "Behavioral Portfolio Selection In Continuous Time," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 385-426.
- Yamazaki, Akira, 1978. "An Equilibrium Existence Theorem without Convexity Assumptions," Econometrica, Econometric Society, vol. 46(3), pages 541-555, May.
- Werner, Jan, 1987. "Arbitrage and the Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1403-1418, November.
- Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
- Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
- William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, 09.
- Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, Oxford University Press, vol. 116(1), pages 1-53.
- Jonathan Ingersoll, 2008. "Non-Monotonicity of the Tversky-Kahneman Probability-Weighting Function: A Cautionary Note," European Financial Management, European Financial Management Association, vol. 14(3), pages 385-390. Full references (including those not matched with items on IDEAS)
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