메뉴 건너뛰기




Volumn 50, Issue 3, 2012, Pages 527-545

Purification, saturation and the exact law of large numbers

Author keywords

Exact law of large numbers; Fubini extension; Incomplete information; Purification; Saturated probability space

Indexed keywords


EID: 84864397928     PISSN: 09382259     EISSN: 14320479     Source Type: Journal    
DOI: 10.1007/s00199-010-0593-3     Document Type: Article
Times cited : (15)

References (35)
  • 2
    • 0042709045 scopus 로고
    • Elimination of randomization in certain problems of statistics and of the theory of games
    • Dvoretzky A., Wald A., Wolfowitz J.: Elimination of randomization in certain problems of statistics and of the theory of games. Proc Natl Acad Sci USA 36, 256-260 (1950).
    • (1950) Proc Natl Acad Sci USA , vol.36 , pp. 256-260
    • Dvoretzky, A.1    Wald, A.2    Wolfowitz, J.3
  • 3
    • 33646978348 scopus 로고
    • Relations among certain ranges of vector measures
    • Dvoretzky A., Wald A., Wolfowitz J.: Relations among certain ranges of vector measures. Pac J Math 1, 59-74 (1951a).
    • (1951) Pac J Math , vol.1 , pp. 59-74
    • Dvoretzky, A.1    Wald, A.2    Wolfowitz, J.3
  • 4
    • 0041707484 scopus 로고
    • Elimination of randomization in certain statistical decision problems in certain statistical decision procedures and zero-sum two-person games
    • Dvoretzky A., Wald A., Wolfowitz J.: Elimination of randomization in certain statistical decision problems in certain statistical decision procedures and zero-sum two-person games. Ann Math Stat 22, 1-21 (1951b).
    • (1951) Ann Math Stat , vol.22 , pp. 1-21
    • Dvoretzky, A.1    Wald, A.2    Wolfowitz, J.3
  • 5
    • 0000792879 scopus 로고
    • Properties of the class of measure separable compact spaces
    • Džamonja M., Kunen K.: Properties of the class of measure separable compact spaces. Fund Math 147, 261-277 (1995).
    • (1995) Fund Math , vol.147 , pp. 261-277
    • Džamonja, M.1    Kunen, K.2
  • 6
    • 84976007896 scopus 로고
    • On a theorem of Dvoretzky, Wald and Wolfowitz concerning Liapunov measures
    • Edwards D. A.: On a theorem of Dvoretzky, Wald and Wolfowitz concerning Liapunov measures. Glasg Math J 29, 205-220 (1987).
    • (1987) Glasg Math J , vol.29 , pp. 205-220
    • Edwards, D.A.1
  • 8
    • 0001125217 scopus 로고
    • Adapted probability distributions
    • Hoover D. N., Keisler H. J.: Adapted probability distributions. Trans Am Math Soc 286, 159-201 (1984).
    • (1984) Trans Am Math Soc , vol.286 , pp. 159-201
    • Hoover, D.N.1    Keisler, H.J.2
  • 9
    • 67349095307 scopus 로고    scopus 로고
    • Why saturated probability spaces are necessary
    • Keisler H. J., Sun Y. N.: Why saturated probability spaces are necessary. Adv Math 221, 1584-1607 (2009).
    • (2009) Adv Math , vol.221 , pp. 1584-1607
    • Keisler, H.J.1    Sun, Y.N.2
  • 10
    • 70649106311 scopus 로고    scopus 로고
    • On games with incomplete information and the Dvoretzky-Wald-Wolfowitz theorem with countable partitions
    • Khan M. A., Rath K. P.: On games with incomplete information and the Dvoretzky-Wald-Wolfowitz theorem with countable partitions. J Math Econ 45, 830-837 (2009).
    • (2009) J Math Econ , vol.45 , pp. 830-837
    • Khan, M.A.1    Rath, K.P.2
  • 11
    • 33645780242 scopus 로고    scopus 로고
    • The Dvoretzky-Wald-Wolfowitz theorem and purification in atomless finite-action games
    • Khan M. A., Rath K. P., Sun Y. N.: The Dvoretzky-Wald-Wolfowitz theorem and purification in atomless finite-action games. Int J Game Theory 34, 91-104 (2006).
    • (2006) Int J Game Theory , vol.34 , pp. 91-104
    • Khan, M.A.1    Rath, K.P.2    Sun, Y.N.3
  • 13
    • 33645762005 scopus 로고
    • On symmetric Cournot-Nash equilibrium distributions in a finite-action, atomless game
    • M. A. Khan and N. C. Yannelis (Eds.), Berlin: Springer
    • Khan M. A., Sun Y. N.: On symmetric Cournot-Nash equilibrium distributions in a finite-action, atomless game. In: Khan, M. A., Yannelis, N. C. (eds) Equilibrium Theory in Infinite Dimensional Spaces, pp. 325-332. Springer, Berlin (1991).
    • (1991) Equilibrium Theory in Infinite Dimensional Spaces , pp. 325-332
    • Khan, M.A.1    Sun, Y.N.2
  • 14
    • 67649306604 scopus 로고    scopus 로고
    • Non-cooperative games with many players
    • R. J. Aumann and S. Hart (Eds.), Amsterdam: Elsevier Science
    • Khan M. A., Sun Y. N.: Non-cooperative games with many players. In: Aumann, R. J., Hart, S. (eds) Handbook of Game Theory with Economic Applications, vol. III, pp. 1761-1808. Elsevier Science, Amsterdam (2002).
    • (2002) Handbook of Game Theory with Economic Applications , vol.III , pp. 1761-1808
    • Khan, M.A.1    Sun, Y.N.2
  • 15
    • 34247219302 scopus 로고    scopus 로고
    • Purification of measure-valued maps
    • Loeb P. A., Sun Y. N.: Purification of measure-valued maps. Ill J Math 50, 747-762 (2006).
    • (2006) Ill J Math , vol.50 , pp. 747-762
    • Loeb, P.A.1    Sun, Y.N.2
  • 16
    • 77951031890 scopus 로고    scopus 로고
    • Purification and saturation
    • Loeb P. A., Sun Y. N.: Purification and saturation. Proc Am Math Soc 137, 2719-2724 (2009).
    • (2009) Proc Am Math Soc , vol.137 , pp. 2719-2724
    • Loeb, P.A.1    Sun, Y.N.2
  • 18
    • 0008223790 scopus 로고
    • On algebraic characterization of measure algebras
    • Maharam D.: On algebraic characterization of measure algebras. Ann Math 48, 154-167 (1947).
    • (1947) Ann Math , vol.48 , pp. 154-167
    • Maharam, D.1
  • 19
    • 0001396794 scopus 로고
    • On a theorem of Schmeidler
    • Mas-Colell A.: On a theorem of Schmeidler. J Math Econ 13, 200-206 (1984).
    • (1984) J Math Econ , vol.13 , pp. 200-206
    • Mas-Colell, A.1
  • 20
    • 0022162275 scopus 로고
    • Distributional strategies for games with incomplete information
    • Milgrom P. R., Weber R. J.: Distributional strategies for games with incomplete information. Math Oper Res 10, 619-632 (1985).
    • (1985) Math Oper Res , vol.10 , pp. 619-632
    • Milgrom, P.R.1    Weber, R.J.2
  • 21
    • 57649105506 scopus 로고    scopus 로고
    • Existence of Nash equilibria in large games
    • Noguchi M.: Existence of Nash equilibria in large games. J Math Econ 45, 168-184 (2009).
    • (2009) J Math Econ , vol.45 , pp. 168-184
    • Noguchi, M.1
  • 22
    • 42649127099 scopus 로고    scopus 로고
    • On the convexity and compactness of the integral of a Banach space valued correspondence
    • Podczeck K.: On the convexity and compactness of the integral of a Banach space valued correspondence. J Math Econ 44, 836-852 (2008).
    • (2008) J Math Econ , vol.44 , pp. 836-852
    • Podczeck, K.1
  • 23
    • 56249121008 scopus 로고    scopus 로고
    • On purification of measure-valued maps
    • Podczeck K.: On purification of measure-valued maps. Econ Theory 38, 399-418 (2009).
    • (2009) Econ Theory , vol.38 , pp. 399-418
    • Podczeck, K.1
  • 24
    • 77955846825 scopus 로고    scopus 로고
    • On existence of rich Fubini extensions
    • Podczeck K.: On existence of rich Fubini extensions. Econ Theory 45, 1-22 (2010).
    • (2010) Econ Theory , vol.45 , pp. 1-22
    • Podczeck, K.1
  • 25
    • 0000868535 scopus 로고
    • Private information and pure-strategy equilibria
    • Radner R., Rosenthal R. W.: Private information and pure-strategy equilibria. Math Oper Res 7, 401-409 (1982).
    • (1982) Math Oper Res , vol.7 , pp. 401-409
    • Radner, R.1    Rosenthal, R.W.2
  • 26
    • 0001411285 scopus 로고
    • A direct proof of the existence of pure strategy Nash equilibria in games with a continuum of players
    • Rath K.: A direct proof of the existence of pure strategy Nash equilibria in games with a continuum of players. Econ Theory 2, 427-433 (1992).
    • (1992) Econ Theory , vol.2 , pp. 427-433
    • Rath, K.1
  • 27
    • 33847330667 scopus 로고
    • Equilibrium points of non-atomic games
    • Schmeidler D.: Equilibrium points of non-atomic games. J Stat Phys 7, 295-300 (1973).
    • (1973) J Stat Phys , vol.7 , pp. 295-300
    • Schmeidler, D.1
  • 28
    • 0001313582 scopus 로고    scopus 로고
    • A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN
    • Sun Y. N.: A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN. J Math Econ 29, 419-503 (1998).
    • (1998) J Math Econ , vol.29 , pp. 419-503
    • Sun, Y.N.1
  • 29
    • 30444461201 scopus 로고    scopus 로고
    • The exact law of large numbers via Fubini extension and characterization of insurable risks
    • Sun Y. N.: The exact law of large numbers via Fubini extension and characterization of insurable risks. J Econ Theory 126, 31-69 (2006).
    • (2006) J Econ Theory , vol.126 , pp. 31-69
    • Sun, Y.N.1
  • 32
    • 42649090781 scopus 로고    scopus 로고
    • Saturation and the integration of Banach valued correspondences
    • Sun Y. N., Yannelis N. C.: Saturation and the integration of Banach valued correspondences. J Math Econ 44, 861-865 (2008).
    • (2008) J Math Econ , vol.44 , pp. 861-865
    • Sun, Y.N.1    Yannelis, N.C.2
  • 33
    • 57349141601 scopus 로고    scopus 로고
    • Individual risk and Lebesgue extension without aggregate uncertainty
    • Sun Y. N., Zhang Y. C.: Individual risk and Lebesgue extension without aggregate uncertainty. J Econ Theory 144, 432-443 (2009).
    • (2009) J Econ Theory , vol.144 , pp. 432-443
    • Sun, Y.N.1    Zhang, Y.C.2
  • 34
    • 0011008957 scopus 로고
    • Equilibrium points of non-cooperative random and Bayesian games
    • C. D. Aliprantis, K. C. Border, and W. A. J. Luxemburg (Eds.), Berlin: Springer
    • Yannelis N. C., Rustichini A.: Equilibrium points of non-cooperative random and Bayesian games. In: Aliprantis, C. D., Border, K. C., Luxemburg, W. A. J. (eds) Positive Operators, Riesz Spaces, and Economics, pp. 23-48. Springer, Berlin (1991).
    • (1991) Positive Operators, Riesz Spaces, and Economics , pp. 23-48
    • Yannelis, N.C.1    Rustichini, A.2
  • 35
    • 56249131768 scopus 로고    scopus 로고
    • Debreu's social equilibrium theorem with symmetric information and a continuum of agents
    • Yannelis N. C.: Debreu's social equilibrium theorem with symmetric information and a continuum of agents. Econ Theory 38, 419-432 (2009).
    • (2009) Econ Theory , vol.38 , pp. 419-432
    • Yannelis, N.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.