# Mathematical Statistics: A Decision Theoretic Approach

Main article: Intertemporal choice. Main article: Heuristic.

Main article: Ludic fallacy. Zalta ed. Game theory analysis of conflict. Cambridge, Massachusetts: Harvard University Press. PLoS Computational Biology. Palgrave Macmillan, London, Foundations of Rational Choice Under Risk. Oxford: Oxford University Press. Journal of Experimental Psychology: General. Journal of Economic Literature. Annals of Mathematical Statistics.

Theory of Games and Economic Behavior third ed.

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Psychological Review. Judgment and Decision Making. Akerlof, George A.

## Statistical Decision Theory | SpringerLink

May Brian May The American Economic Review. Berger, James O. Statistical decision theory and Bayesian Analysis 2nd ed. New York: Springer-Verlag. Bayesian Theory. Clemen, Robert; Reilly, Terence Stamford CT: Cengage. Wiley Classics Library. Originally published Goodwin, Paul; Wright, George Decision Analysis for Management Judgment 3rd ed. Chichester: Wiley.

Archived from the original PDF on July 5, Khemani, Karan, Ignorance is Bliss: A study on how and why humans depend on recognition heuristics in social relationships, the equity markets and the brand market-place, thereby making successful decisions , Leach, Patrick A rational presentation of probabilistic analysis.

Miller L The synthesis of fragmented visual information". Miller L, Milner B The synthesis of phonemic and semantic information". North, D. An Introduction to Decision Theory. Cambridge University Press. Raiffa, Howard McGraw Hill. Robert, Christian The Bayesian Choice. Springer Texts in Statistics 2nd ed. New York: Springer. Shafer, Glenn; Pearl, Judea, eds. Readings in uncertain reasoning. Smith, J. Decision Analysis: A Bayesian Approach.

## Decision theory

Chapman and Hall. Charles Sanders Peirce and Joseph Jastrow Memoirs of the National Academy of Sciences. Kyburg and H. Decision-Making: An Experimental Approach. Stanford University Press. Pfanzagl, J In Martin Shubik ed. Princeton University Press.

## Statistical Decision Theory

Pfanzagl, J. Baumann and H.

Huber Theory of Measurement. Morgenstern, Oskar In Andrew Schotter ed. Selected Economic Writings of Oskar Morgenstern. It differentiates between simultaneous move and imperfect information. The Bayesian theory of games treats sequential move with imperfect information as a special case of sequential move with observational noise term. When the variance of the noise term approaches its maximum such that the observation contains no informational value, there is imperfect information with sequential move. It treats games with complete and perfect information as special cases of games with incomplete information and noisy observation whereby the variance of the prior distribution function on type and the variance of the observation noise term tend to zero.

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Consequently, there is the issue of indeterminacy in statistical inference and decision making in these games as the equilibrium solution depends on which variances tends to zero first. It therefore identifies equilibriums in these games that have so far eluded the classical theory of games. Aumann, R. Arrow and S.

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Honkapohja eds. Berger, J. Bickel, P. Dixit, A. Game of Strategy. Fudenberg, D. Reputation and equilibrium selection in games with a patient player, Econometrica, 57, Harsanyi, J.