Equilibrium Notions for Agents with Cumulative Prospect Theory Preferences

Published Online:https://doi.org/10.1287/deca.2016.0333

References

  • Abdellaoui M (2000) Parameter-free elicitation of utility and probability weighting functions. Management Sci. 46(11):1497–1512.LinkGoogle Scholar
  • Allais M (1953) Le comportement de l’homme rationnel devant le risque, critique des postulats et axiomes de l’école Américaine. Econometrica 21(4):503–546.CrossrefGoogle Scholar
  • Aumann RJ (1974) Subjectivity and correlation in randomized strategies. J. Math. Econom. 1(1):67–96.CrossrefGoogle Scholar
  • Barberis NC (2013) Thirty years of prospect theory in economics: A review and assessment. J. Econom. Perspect. 27(1):173–196.CrossrefGoogle Scholar
  • Camerer CF, Ho T-H (1994) Violations of the betweenness axiom and nonlinearity in probability. J. Risk Uncertainty 8(2):167–196.CrossrefGoogle Scholar
  • Chen HC, Neilson WS (1999) Pure-strategy equilibria with non-expected utility players. Theory Decision 46(2):199–209.CrossrefGoogle Scholar
  • Dekel E, Safra Z, Segal U (1991) Existence and dynamic consistency of Nash equilibrium with non-expected utility preferences. J. Econom. Theory 55(2):423–437.CrossrefGoogle Scholar
  • Driesen B, Perea A, Peters H (2012) Alternating offers bargaining with loss aversion. Math. Soc. Sci. 64(2):103–118.CrossrefGoogle Scholar
  • Ellsberg D (1961) Risk, ambiguity, and the savage axioms. Quart. J. Econom. 75(4):643–669.CrossrefGoogle Scholar
  • Fershtman C, Judd KL, Kalai E (1991) Observable contracts: Strategic delegation and cooperation. Internat. Econom. Rev. 32(3):551–559.CrossrefGoogle Scholar
  • Goeree JK, Holt CA, Palfrey TR (2002) Quantal response equilibrium and overbidding in private value auctions. J. Econom. Theory 104(1):247–272.CrossrefGoogle Scholar
  • Goeree JK, Holt CA, Palfrey TR (2003) Risk averse behavior in generalized matching pennies games. Games Econom. Behav. 45(1):97–113.CrossrefGoogle Scholar
  • Harsanyi JC (1973) Games with randomly disturbed payoffs: A new rationale for mixed-strategy equilibrium points. Internat. J. Game Theory 2(1):1–23.CrossrefGoogle Scholar
  • Kahneman D, Tversky A (1979) Prospect theory: An analysis of decision under risk. Econometrica 47(2):263–291.CrossrefGoogle Scholar
  • Kakutani S (1941) A generalization of Brouwer’s fixed point theorem. Duke Math. J. 8(3):457–459.CrossrefGoogle Scholar
  • Keskin K (2016) Inverse S-shaped probability weighting functions in first-price sealed-bid auctions. Rev. Econom. Design 20(1):57–67.CrossrefGoogle Scholar
  • Koray S, Sertel MR (1983) Games of pretension. Research Paper ISS/E 83–3, Boğaziçi University, Istanbul.Google Scholar
  • Kőszegi B, Rabin M (2006) A model of reference-dependent preferences. Quart. J. Econom. 121(4):1133–1165.CrossrefGoogle Scholar
  • Lange A, Ratan A (2010) Multi-dimensional reference-dependent preferences in sealed-bid auctions—How (most) laboratory experiments differ from the field. Games Econom. Behav. 68(2):634–645.CrossrefGoogle Scholar
  • McKelvey RD, Palfrey TR, Weber RA (2000) The effects of payoff magnitude and heterogeneity on behavior in 2 × 2 games with unique mixed strategy equilibria. J. Econom. Behav. Organ. 42(4):523–548.CrossrefGoogle Scholar
  • Metzger LP, Rieger MO (2010) Equilibria in games with prospect theory preferences. Working paper, TU Dortmund University, Dortmund, Germany.Google Scholar
  • Nash JF (1951) Non-cooperative games. Ann. Math. 54(2):286–295.CrossrefGoogle Scholar
  • Ochs J (1995) Games with unique, mixed strategy equilibria: An experimental study. Games Econom. Behav. 10(1):202–217.CrossrefGoogle Scholar
  • Osborne MJ, Rubinstein A (2010) A Course in Game Theory (MIT Press, Cambridge, MA).Google Scholar
  • Prelec D (1998) The probability weighting function. Econometrica 66(3):497–527.CrossrefGoogle Scholar
  • Quiggin J (1982) A theory of anticipated utility. J. Econom. Behav. Organ. 3(4):323–343.CrossrefGoogle Scholar
  • Renou L (2009) Commitment games. Games Econom. Behav. 66(1):488–505.CrossrefGoogle Scholar
  • Rieger MO (2014) Evolutionary stability of prospect theory preferences. J. Math. Econom. 50(1):1–11.CrossrefGoogle Scholar
  • Ritzberger K (1996) On games under expected utility with rank dependent probabilities. Theory Decision 40(1):1–27.CrossrefGoogle Scholar
  • Rosenthal RW (1979) Sequences of games with varying opponents. Econometrica 47(6):1353–1366.CrossrefGoogle Scholar
  • Schmeidler D (1989) Subjective probability and expected utility without additivity. Econometrica 57(3):571–587.CrossrefGoogle Scholar
  • Selten R, Chmura T (2008) Stationary concepts for experimental 2 × 2 games. Amer. Econom. Rev. 98(3):938–966.CrossrefGoogle Scholar
  • Shalev J (2000) Loss aversion equilibrium. Internat. J. Game Theory 29(2):269–287.CrossrefGoogle Scholar
  • Shalev J (2002) Loss aversion and bargaining. Theory Decision 52(3):201–232.CrossrefGoogle Scholar
  • Sonnemans J, Schram A, Offerman T (1998) Public good provision and public bad prevention: The effect of framing. J. Econom. Behav. Organ. 34(1):143–161.CrossrefGoogle Scholar
  • Starmer C (2000) Developments in non-expected utility theory: The hunt for a descriptive theory of choice under risk. J. Econom. Literature 38(2):332–382.CrossrefGoogle Scholar
  • Tversky A, Kahneman D (1991) Loss aversion in riskless choice: A reference-dependent model. Quart. J. Econom. 106(4):1039–1061.CrossrefGoogle Scholar
  • Tversky A, Kahneman D (1992) Advances in prospect theory: A cumulative representation of uncertainty. J. Risk Uncertainty 5(4):297–323.CrossrefGoogle Scholar
  • Tversky A, Wakker PP (1995) Risk attitudes and decision weights. Econometrica 63(6):1255–1280.CrossrefGoogle Scholar
  • von Neumann J, Morgenstern O (1944) Theory of Games and Economic Behavior (Princeton University Press, Princeton, NJ).Google Scholar
  • Wakker PP (2010) Prospect Theory: For Risk and Ambiguity (Cambridge University Press, Cambridge, UK).CrossrefGoogle Scholar
  • Winter E, Méndez-Naya L, García-Jurado I (2016) Mental equilibrium and strategic emotions. Management Sci., ePub ahead of print April 22, http://dx.doi.org/10.1287/mnsc.2015.2398.LinkGoogle Scholar
  • Wolpert D, Jamison J, Newth D, Harre M (2011) Strategic choice of preferences: The persona model. Berkeley Electronic J. Theoret. Econom. 11(1), http://dx.doi.org/10.2202/1935-1704.1593.Google Scholar
  • Wu G, Gonzalez R (1996) Curvature of the probability weighting function. Management Sci. 42(12):1676–1690.LinkGoogle Scholar
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