Auto Topic: finetti

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textbook
Artificial-Intelligence-A-Modern-Approach-4th-Edition.pdf
0.572... grees of belief and those who advocate alternative approaches. One argument for the axioms of probability, first stated in 1931 by Bruno de Finetti (see de Finetti, 1993, for an English translation), is as follows: If an agent has some degree of belief in a proposition a, then the ...
textbook
Artificial-Intelligence-A-Modern-Approach-4th-Edition.pdf
0.572... t if Agent 2 chooses to bet $4 on a, $3 on b, and $2 on¬(a∨ b), then Agent 1 always loses money, regardless of the outcomes for a and b. De Finetti’s theorem implies that no rational agent can have beliefs that violate the axioms of probability. One common objection to de Finetti ...
textbook
Artificial-Intelligence-A-Modern-Approach-4th-Edition.pdf
0.572... , D. P. and Roy, B. V . (2003). The linear programming approach to approximate dynamic pro- gramming. Operations Research, 51, 839–1016. de Finetti, B. (1937). Le pr ´evision: ses lois logiques, ses sources subjectives. Ann. Inst. Poincar´e, 7, 1–68. de Finetti, B. (1993). On the ...
textbook
Artificial-Intelligence-A-Modern-Approach-4th-Edition.pdf
0.572... A. K., 868, 970, 986, 1118 Dey, K., 1047, 1060, 1087 de Condorcet, M., 736, 1092 de Dombal, F. T., 428,1092 de Farias, D. P., 586, 1092 de Finetti’s theorem, 412 de Finetti, B., 412, 427, 1092 de Freitas, J. F. G., 516, 517, 1092, 1093 de Ghellinck, G., 586, 1092 de Groot, M., 5 ...
textbook
Artificial-Intelligence-A-Modern-Approach-4th-Edition.pdf
0.551... then one would expect to lose money over the long run to an opposing agent whose beliefs more accurately reflect the state of the world. De Finetti’s theorem is not concerned with choosing the right values for individual prob- abilities, but with choosing values for the probabili ...
textbook
Artificial-Intelligence-A-Modern-Approach-4th-Edition.pdf
0.551... tion (1959, first published in German in 1934) traces relative frequencies to an underlying physical symmetry. Frank Ramsey (1931), Bruno de Finetti (1937), R. T. Cox (1946), Leonard Savage (1954), Richard Jeffrey (1983), and E. T. Jaynes (2003) interpreted probabilities as the de ...
textbook
Artificial-Intelligence-A-Modern-Approach-4th-Edition.pdf
0.551... later gave an axiomatic presentation that took conditional probability, rather than absolute probability, as primitive. In addition to de Finetti’s arguments for the validity of the axioms, Cox (1946) showed that any
textbook
Artificial-Intelligence-A-Modern-Approach-4th-Edition.pdf
0.551iomatic presentation that took conditional probability, rather than absolute probability, as primitive. In addition to de Finetti’s arguments for the validity of the axioms, Cox (1946) showed that any system for uncertain reasoning that meets his set of assumptions is equivalent ...