Khan, M. Ali; Qiao, Lei; Rath, Kali P.; Sun, Yeneng Modeling large societies: why countable additivity is necessary. (English) Zbl 1452.91195 J. Econ. Theory 189, Article ID 105102, 35 p. (2020). MSC: 91B52 91A11 PDF BibTeX XML Cite \textit{M. A. Khan} et al., J. Econ. Theory 189, Article ID 105102, 35 p. (2020; Zbl 1452.91195) Full Text: DOI
Stanca, Lorenzo A simplified approach to subjective expected utility. (English) Zbl 1436.91066 J. Math. Econ. 87, 151-160 (2020). MSC: 91B16 91B06 PDF BibTeX XML Cite \textit{L. Stanca}, J. Math. Econ. 87, 151--160 (2020; Zbl 1436.91066) Full Text: DOI
Zhang, Ren; Zhang, Shaoyi The existence of invariant measure for Markov chains with uniform countable additivity. (Chinese. English summary) Zbl 1413.60071 Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 2, 350-357 (2018). MSC: 60J10 PDF BibTeX XML Cite \textit{R. Zhang} and \textit{S. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 2, 350--357 (2018; Zbl 1413.60071)
Miranda, Enrique; Zaffalon, Marco Full conglomerability. (English) Zbl 1418.60002 J. Stat. Theory Pract. 11, No. 4, 634-669 (2017). MSC: 60A05 28A12 60A10 PDF BibTeX XML Cite \textit{E. Miranda} and \textit{M. Zaffalon}, J. Stat. Theory Pract. 11, No. 4, 634--669 (2017; Zbl 1418.60002) Full Text: DOI
Stern, Rafael B.; Kadane, Joseph B. Coherence of countably many bets. (English) Zbl 1323.60006 J. Theor. Probab. 28, No. 2, 520-538 (2015). MSC: 60A05 PDF BibTeX XML Cite \textit{R. B. Stern} and \textit{J. B. Kadane}, J. Theor. Probab. 28, No. 2, 520--538 (2015; Zbl 1323.60006) Full Text: DOI arXiv
Wenmackers, Sylvia; Horsten, Leon Fair infinite lotteries. (English) Zbl 1284.03165 Synthese 190, No. 1, 37-61 (2013). MSC: 03B48 03H05 60A05 PDF BibTeX XML Cite \textit{S. Wenmackers} and \textit{L. Horsten}, Synthese 190, No. 1, 37--61 (2013; Zbl 1284.03165) Full Text: DOI
Zhang, Ren; Zhang, Shaoyi Stochastic stability for the nonlinear autoregressive series. (Chinese. English summary) Zbl 1289.60128 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 2, 260-266 (2013). MSC: 60J20 62M10 PDF BibTeX XML Cite \textit{R. Zhang} and \textit{S. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 2, 260--266 (2013; Zbl 1289.60128)
Boccuto, Antonio; Das, Pratulananda; Dimitriou, Xenofon; Papanastassiou, Nikolaos Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces. (English) Zbl 1276.28024 Real Anal. Exch. 37(2011-2012), No. 2, 389-410 (2012). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 28B15 28A20 54A20 40A35 PDF BibTeX XML Cite \textit{A. Boccuto} et al., Real Anal. Exch. 37, No. 2, 389--410 (2012; Zbl 1276.28024) Full Text: DOI Euclid
Bingham, Nick H. Finite additivity versus countable additivity. (English. French summary) Zbl 1344.60006 J. Électron. Hist. Probab. Stat. 6, No. 1, Article 2, 35 p. (2010). MSC: 60-03 60-02 01A60 PDF BibTeX XML Cite \textit{N. H. Bingham}, J. Électron. Hist. Probab. Stat. 6, No. 1, Article 2, 35 p. (2010; Zbl 1344.60006) Full Text: Link EMIS
Kopylov, Igor Simple axioms for countably additive subjective probability. (English) Zbl 1232.60005 J. Math. Econ. 46, No. 5, 867-876 (2010). MSC: 60A05 91B06 PDF BibTeX XML Cite \textit{I. Kopylov}, J. Math. Econ. 46, No. 5, 867--876 (2010; Zbl 1232.60005) Full Text: DOI
Correia-da-Silva, João Agreeing to disagree in a countable space of equiprobable states of nature. (English) Zbl 1232.91051 Econ. Theory 45, No. 1-2, 291-302 (2010). MSC: 91A26 60A10 62C12 PDF BibTeX XML Cite \textit{J. Correia-da-Silva}, Econ. Theory 45, No. 1--2, 291--302 (2010; Zbl 1232.91051) Full Text: DOI
Kopylov, Igor Unbounded probabilistic sophistication. (English) Zbl 1194.91079 Math. Soc. Sci. 60, No. 2, 113-118 (2010). MSC: 91B14 PDF BibTeX XML Cite \textit{I. Kopylov}, Math. Soc. Sci. 60, No. 2, 113--118 (2010; Zbl 1194.91079) Full Text: DOI
Lee, O.; Shin, D. W. Geometric ergodicity and moment conditions for a seasonal GARCH model with periodic coefficients. (English) Zbl 1187.62143 Commun. Stat., Theory Methods 39, No. 1, 38-51 (2010). Reviewer: Miroslav M. Ristic MSC: 62M10 60G10 PDF BibTeX XML Cite \textit{O. Lee} and \textit{D. W. Shin}, Commun. Stat., Theory Methods 39, No. 1, 38--51 (2010; Zbl 1187.62143) Full Text: DOI
Nowak, Marian A Grothendieck-type theorem for the space of totally measurable functions. (English) Zbl 1183.28004 Indag. Math., New Ser. 20, No. 1, 151-157 (2009). Reviewer: Hans F. Günzler (Kiel) MSC: 28A33 46B50 46E27 46E30 46E40 PDF BibTeX XML Cite \textit{M. Nowak}, Indag. Math., New Ser. 20, No. 1, 151--157 (2009; Zbl 1183.28004) Full Text: DOI
Howson, Colin De Finetti, countable additivity, consistency and coherence. (English) Zbl 1142.03309 Br. J. Philos. Sci. 59, No. 1, 1-23 (2008). MSC: 03A05 PDF BibTeX XML Cite \textit{C. Howson}, Br. J. Philos. Sci. 59, No. 1, 1--23 (2008; Zbl 1142.03309) Full Text: DOI
Howard, John V. Countable additivity and the foundations of Bayesian statistics. (English) Zbl 1096.62004 Theory Decis. 60, No. 2-3, 127-135 (2006). MSC: 62A01 62C10 62F15 PDF BibTeX XML Cite \textit{J. V. Howard}, Theory Decis. 60, No. 2--3, 127--135 (2006; Zbl 1096.62004) Full Text: DOI
Arló Costa, Horacio; Parikh, Rohit Conditional probability and defeasible inference. (English) Zbl 1082.03023 J. Philos. Log. 34, No. 1, 97-119 (2005). Reviewer: David Makinson (London) MSC: 03B48 03B60 03B42 68T27 PDF BibTeX XML Cite \textit{H. Arló Costa} and \textit{R. Parikh}, J. Philos. Log. 34, No. 1, 97--119 (2005; Zbl 1082.03023) Full Text: DOI
Chateauneuf, Alain; Maccheroni, Fabio; Marinacci, Massimo; Tallon, Jean-Marc Monotone continuous multiple priors. (English) Zbl 1116.91317 Econ. Theory 26, No. 4, 973-982 (2005). MSC: 91B06 60B10 PDF BibTeX XML Cite \textit{A. Chateauneuf} et al., Econ. Theory 26, No. 4, 973--982 (2005; Zbl 1116.91317) Full Text: DOI
Grey, D. R. A note on convergence of probability measures. (English) Zbl 0995.60008 J. Appl. Probab. 38, No. 4, 1055-1058 (2001). MSC: 60B10 PDF BibTeX XML Cite \textit{D. R. Grey}, J. Appl. Probab. 38, No. 4, 1055--1058 (2001; Zbl 0995.60008) Full Text: DOI
Chentsov, A. G. Two-valued measures: finite additivity and countable additivity. (English) Zbl 1053.28001 Funct. Differ. Equ. 7, No. 3-4, 231-257 (2000). MSC: 28A12 28A25 PDF BibTeX XML Cite \textit{A. G. Chentsov}, Funct. Differ. Equ. 7, No. 3--4, 231--257 (2000; Zbl 1053.28001)
Antosik, Piotr Equivanishing sequences of mappings. (English) Zbl 0974.46014 Przeworska-Rolewicz, Danuta (ed.), Algebraic analysis and related topics. Proceedings of the conference, Warsaw, Poland, September 21-25, 1999. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 53, 89-104 (2000). Reviewer: Aleksander Waszak (Poznań) MSC: 46B15 46A19 43A05 28A33 46B25 PDF BibTeX XML Cite \textit{P. Antosik}, Banach Cent. Publ. 53, 89--104 (2000; Zbl 0974.46014) Full Text: EuDML
Williamson, Jon Countable additivity and subjective probability. (English) Zbl 0969.60005 Br. J. Philos. Sci. 50, No. 3, 401-416 (1999). MSC: 60A05 PDF BibTeX XML Cite \textit{J. Williamson}, Br. J. Philos. Sci. 50, No. 3, 401--416 (1999; Zbl 0969.60005) Full Text: DOI
Wright, J. D. Maitland Decoherence functionals for von Neumann quantum histories: Boundedness and countable additivity. (English) Zbl 0911.46037 Commun. Math. Phys. 191, No. 3, 493-500 (1998). MSC: 46L51 46L53 46L54 46N50 PDF BibTeX XML Cite \textit{J. D. M. Wright}, Commun. Math. Phys. 191, No. 3, 493--500 (1998; Zbl 0911.46037) Full Text: DOI
Shcherbin, V. M. On integration of mappings of semiordered rings. (English. Russian original) Zbl 1007.28008 Dokl. Math. 56, No. 1, 540-542 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 3, 317-319 (1997). MSC: 28B15 46G10 PDF BibTeX XML Cite \textit{V. M. Shcherbin}, Dokl. Math. 56, No. 1, 317--319 (1997; Zbl 1007.28008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 3, 317--319 (1997)
Stinchcombe, Maxwell B. Countably additive subjective probabilities. (English) Zbl 0890.90017 Rev. Econ. Stud. 64, No. 1, 125-146 (1997). MSC: 91B16 60A05 91B06 PDF BibTeX XML Cite \textit{M. B. Stinchcombe}, Rev. Econ. Stud. 64, No. 1, 125--146 (1997; Zbl 0890.90017) Full Text: DOI
Antosik, Piotr A lemma on matrices and examples of its applications. (English) Zbl 0857.40003 Integral Transforms Spec. Funct. 4, No. 1-2, 15-22 (1996). MSC: 40A30 46E27 46G12 PDF BibTeX XML Cite \textit{P. Antosik}, Integral Transforms Spec. Funct. 4, No. 1--2, 15--22 (1996; Zbl 0857.40003) Full Text: DOI
Zhang, Deli; Guo, Caimei The countable additivity of set-valued integrals and \(F\)-valued integrals. (English) Zbl 0844.28014 Fuzzy Sets Syst. 66, No. 1, 113-117 (1994). MSC: 28E10 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{C. Guo}, Fuzzy Sets Syst. 66, No. 1, 113--117 (1994; Zbl 0844.28014) Full Text: DOI
Tkachuk, V. V. Decomposition of \(C_ p(X)\) into a countable union of subspaces with “good” properties implies “good” properties of \(C_ p(X)\). (English. Russian original) Zbl 0844.54009 Trans. Mosc. Math. Soc. 1994, 239-248 (1994); translation from Tr. Mosk. Mat. O.-va 55, 310-322 (1994). Reviewer: M.G.Tkachenko (Mexico) MSC: 54C35 54A25 PDF BibTeX XML Cite \textit{V. V. Tkachuk}, Trans. Mosc. Math. Soc. 1994, 239--248 (1994; Zbl 0844.54009); translation from Tr. Mosk. Mat. O.-va 55, 310--322 (1994)
Volauf, Peter Alexandrov and Kolmogorov consistency theorem for measures with values in partially ordered groups. (English) Zbl 0820.28006 Tatra Mt. Math. Publ. 3, 237-244 (1993). MSC: 28B10 28B15 PDF BibTeX XML Cite \textit{P. Volauf}, Tatra Mt. Math. Publ. 3, 237--244 (1993; Zbl 0820.28006)
Chen, Dianfa Countably additive set functions on a semiring. (Chinese) Zbl 0799.28001 Acta Math. Sin. 36, No. 2, 195-198 (1993). Reviewer: Wu Liangsen (Shanghai) MSC: 28A10 PDF BibTeX XML Cite \textit{D. Chen}, Acta Math. Sin. 36, No. 2, 195--198 (1993; Zbl 0799.28001)
Newelski, Ludomir A model and its subset. (English) Zbl 0774.03015 J. Symb. Log. 57, No. 2, 644-658 (1992). MSC: 03C15 03C45 PDF BibTeX XML Cite \textit{L. Newelski}, J. Symb. Log. 57, No. 2, 644--658 (1992; Zbl 0774.03015) Full Text: DOI
Antosik, Piotr; Swartz, Charles The Nikodým convergence theorem for lattice-valued measures. (English) Zbl 0758.28013 Rev. Roum. Math. Pures Appl. 37, No. 4, 299-306 (1992). Reviewer: P.Antosik (Katowice) MSC: 28B15 28A33 46G10 PDF BibTeX XML Cite \textit{P. Antosik} and \textit{C. Swartz}, Rev. Roum. Math. Pures Appl. 37, No. 4, 299--306 (1992; Zbl 0758.28013)
Dvurečenskij, Anatolij; Neubrunn, Tibor; Pulmannová, Sylvia Regular states and countable additivity on quantum logics. (English) Zbl 0748.28002 Proc. Am. Math. Soc. 114, No. 4, 931-938 (1992). Reviewer: B.Riečan (Bratislava) MSC: 28A60 03G12 81P10 PDF BibTeX XML Cite \textit{A. Dvurečenskij} et al., Proc. Am. Math. Soc. 114, No. 4, 931--938 (1992; Zbl 0748.28002) Full Text: DOI
Luxemburg, W. A. J. Integration with respect to finitely additive measures. (English) Zbl 0771.28004 Positive operators, Riesz spaces, and economics, Proc. Conf., Pasadena/CA (USA) 1990, Stud. Econ. Theory 2, 109-150 (1991). Reviewer: J.W.Hagood (Flagstaff) MSC: 28A25 46A40 28A15 46E27 46E30 PDF BibTeX XML Cite \textit{W. A. J. Luxemburg}, Stud. Econ. Theory 2, 109--150 (1991; Zbl 0771.28004)
Yu, Xiaokang; Simpson, Stephen G. Measure theory and weak König’s lemma. (English) Zbl 0718.03043 Arch. Math. Logic 30, No. 3, 171-180 (1990). Reviewer: S.G.Simpson MSC: 03F35 PDF BibTeX XML Cite \textit{X. Yu} and \textit{S. G. Simpson}, Arch. Math. Logic 30, No. 3, 171--180 (1990; Zbl 0718.03043) Full Text: DOI
Lane, David A. Conglomerability, coherence and countable additivity. (English) Zbl 0713.62003 Bayesian and likelihood methods in statistics and econometrics, Essays in Honor of G.A. Barnard, Stud. Bayesian Econ. Stat. 7, 91-102 (1990). MSC: 62A01 PDF BibTeX XML
Coletti, Giulianella Coherent qualitative probability. (English) Zbl 0713.60003 J. Math. Psychol. 34, No. 3, 297-310 (1990). Reviewer: G.G.Vrănceanu MSC: 60A05 PDF BibTeX XML Cite \textit{G. Coletti}, J. Math. Psychol. 34, No. 3, 297--310 (1990; Zbl 0713.60003) Full Text: DOI
Abbott, Catherine A.; Bator, Elizabeth M.; Bilyeu, Russell G.; Lewis, Paul W. Weak precompactness, strong boundedness, and weak complete continuity. (English) Zbl 0737.46008 Math. Proc. Camb. Philos. Soc. 108, No. 2, 325-335 (1990). MSC: 46E27 46E40 46E30 46A50 47B07 PDF BibTeX XML Cite \textit{C. A. Abbott} et al., Math. Proc. Camb. Philos. Soc. 108, No. 2, 325--335 (1990; Zbl 0737.46008) Full Text: DOI
Armstrong, Thomas E. Countably additive full conditional probabilities. (English) Zbl 0689.28002 Proc. Am. Math. Soc. 107, No. 4, 977-987 (1989). Reviewer: S.D.Chatterji MSC: 28A60 28A50 60A10 62A01 PDF BibTeX XML Cite \textit{T. E. Armstrong}, Proc. Am. Math. Soc. 107, No. 4, 977--987 (1989; Zbl 0689.28002) Full Text: DOI
Ihoda, Jaime I.; Shelah, Saharon Souslin forcing. (English) Zbl 0673.03039 J. Symb. Log. 53, No. 4, 1188-1207 (1988). MSC: 03E35 03E50 PDF BibTeX XML Cite \textit{J. I. Ihoda} and \textit{S. Shelah}, J. Symb. Log. 53, No. 4, 1188--1207 (1988; Zbl 0673.03039) Full Text: DOI
Mushtari, D. Kh. Cylindrical probabilities, criteria of countable additivity and supports. (English. Russian original) Zbl 0665.60012 J. Sov. Math. 43, No. 1, 2209-2219 (1988); translation from Issled. Prikl. Mat. 6, 46-59 (1979). MSC: 60B11 28C15 PDF BibTeX XML Cite \textit{D. Kh. Mushtari}, J. Sov. Math. 43, No. 1, 2209--2219 (1988; Zbl 0665.60012); translation from Issled. Prikl. Mat. 6, 46--59 (1979) Full Text: DOI
Hill, Bruce M.; Lane, David Conglomerability and countable additivity. (English) Zbl 0623.60002 Bayesian inference and decision techniques, Essays Hon. Bruno de Finetti, Stud. Bayesian Econ. Stat. 6, 45-57 (1986). MSC: 60A05 PDF BibTeX XML
Kadane, Joseph B.; Schervish, Mark J.; Seidenfeld, Teddy Statistical implications of finitely additive probability. (English) Zbl 0619.62007 Bayesian inference and decision techniques, Essays Hon. Bruno de Finetti, Stud. Bayesian Econ. Stat. 6, 59-76 (1986). Reviewer: K.Marti MSC: 62A01 PDF BibTeX XML
Ricker, W. Countable additivity of multiplicative, operator-valued set functions. (English) Zbl 0615.47028 Acta Math. Hung. 47, 121-126 (1986). MSC: 47B40 47B15 46G10 PDF BibTeX XML Cite \textit{W. Ricker}, Acta Math. Hung. 47, 121--126 (1986; Zbl 0615.47028) Full Text: DOI
Okada, S.; Ricker, W. Uniform opertor \(\sigma\)-additivity of indefinite integrals induced by scalar-type spectral operators. (English) Zbl 0613.47030 Proc. R. Soc. Edinb., Sect. A 101, 141-146 (1985). Reviewer: B.Nagy MSC: 47B40 PDF BibTeX XML Cite \textit{S. Okada} and \textit{W. Ricker}, Proc. R. Soc. Edinb., Sect. A, Math. 101, 141--146 (1985; Zbl 0613.47030) Full Text: DOI
Hill, Bruce M.; Lane, David Conglomerability and countable additivity. (English) Zbl 0595.60002 Sankhyā, Ser. A 47, 366-379 (1985). Reviewer: I.G.Kalmár MSC: 60A05 62A01 PDF BibTeX XML Cite \textit{B. M. Hill} and \textit{D. Lane}, Sankhyā, Ser. A 47, 366--379 (1985; Zbl 0595.60002)
Schmidt, Klaus D. Decompositions of vector measures. (English) Zbl 0576.28012 Methods Oper. Res. 50, 389-400 (1985). MSC: 28B05 28B15 46A40 PDF BibTeX XML Cite \textit{K. D. Schmidt}, Methods Oper. Res. 50, 389--400 (1985; Zbl 0576.28012)
Mekler, Alan H. Finitely additive measures on N and the additive property. (English) Zbl 0561.28001 Proc. Am. Math. Soc. 92, 439-444 (1984). MSC: 28A12 03E35 PDF BibTeX XML Cite \textit{A. H. Mekler}, Proc. Am. Math. Soc. 92, 439--444 (1984; Zbl 0561.28001) Full Text: DOI
Wu, Liangsen The measures on V[0,1]. (Chinese) Zbl 0527.28019 J. East China Norm. Univ., Nat. Sci. Ed. 1983, No. 2, 1-10 (1983). MSC: 28C20 60G07 PDF BibTeX XML Cite \textit{L. Wu}, J. East China Norm. Univ., Nat. Sci. Ed. 1983, No. 2, 1--10 (1983; Zbl 0527.28019)
De Maria Gonzales, J. L. Sur la régularité d’une mesure à valeurs dans une semigroupe. (French) Zbl 0524.28012 Measure theory and its applications. Proc. Conf. Sherbrooke/Can. 1982 Lect. Notes Math. 1033, 230-239 (1983). MSC: 28B10 28C15 PDF BibTeX XML
Antosik, Piotr On convergences in spaces of sequences. (English) Zbl 0507.46005 Generalized functions and their applications in mathematical physics, Proc. int. Conf., Moscow 1980, 35-42 (1981). MSC: 46A45 46A03 46B03 PDF BibTeX XML
Wu, Liangsuh On the measure in \(L^ p\)[0,1] and a sort of Orlicz space. (Chinese) Zbl 0519.46050 J. Shanghai Norm. Univ., Nat. Sci. Ed. 1980, No. 4, 15-26 (1980). MSC: 46G12 46E30 28C20 PDF BibTeX XML Cite \textit{L. Wu}, J. Shanghai Norm. Univ., Nat. Sci. Ed. 1980, No. 4, 15--26 (1980; Zbl 0519.46050)
Mushtari, D. Kh. On the spaces in which criteria of Bochner and Levy type are fulfilled. (Russian) Zbl 0464.28010 Konstr. Teor. Funkts. Funkts. Anal. 2, 69-82 (1979). MSC: 28C20 46G12 60B11 47B10 PDF BibTeX XML Cite \textit{D. Kh. Mushtari}, Konstr. Teor. Funkts. Funkts. Anal. 2, 69--82 (1979; Zbl 0464.28010)
Mushtari, D. Kh. Cylindrical probabilities, criteria of countable additivity and supports. (Russian) Zbl 0443.60008 Issled. Prikl. Mat. 6, 46-59 (1979). MSC: 60B11 28C15 PDF BibTeX XML Cite \textit{D. Kh. Mushtari}, Issled. Prikl. Mat. 6, 46--59 (1979; Zbl 0443.60008) Full Text: EuDML
Birman, M. S.; Vershik, A. M.; Solomyak, M. Z. Das Produkt permutierbarer Spektralmaße kann nicht abzählbaradditiv sein. (Russian) Zbl 0406.28011 Funkts. Anal. Prilozh. 13, No. 1, 61-62 (1979). MSC: 28B05 46G10 PDF BibTeX XML Cite \textit{M. S. Birman} et al., Funkts. Anal. Prilozh. 13, No. 1, 61--62 (1979; Zbl 0406.28011)