The relationship between strong belief and assumption

被引：1

作者：

Brandenburger, Adam ^{[1
]}

Friedenberg, Amanda ^{[2
]}

Keisler, H. Jerome ^{[3
]}

机构：

[1] NYU, Stern Sch Business, Tandon Sch Engn, NYU Shanghai, New York, NY 10012 USA

[2] Univ Arizona, Dept Econ, Tucson, AZ USA

[3] Univ Michigan, Dept Math, Ann Arbor, MI USA

来源：

SYNTHESE | 2023年 / 201卷 / 05期

关键词：

Conditional probability systems; Lexicographic probability systems; Strong belief; Assumption; CONDITIONAL SYSTEMS; ADMISSIBILITY;

D O I：

10.1007/s11229-023-04167-6

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

We define two maps, one map from the set of conditional probability systems (CPS's) onto the set of lexicographic probability systems (LPS's), and another map from the set of LPS's with full support onto the set of CPS's. We use these maps to establish a relationship between strong belief (defined on CPS's) and assumption (defined on LPS's). This establishes a relationship at the abstract level between these two widely used notions of belief in an extended probability-theoretic setting.

引用

页数：18

共 16 条

[1] Strong belief and forward induction reasoning [J].

Battigalli, P ;

Siniscalchi, M .

JOURNAL OF ECONOMIC THEORY, 2002, 106 (02) :356-391

[2] LEXICOGRAPHIC PROBABILITIES AND CHOICE UNDER UNCERTAINTY [J].

BLUME, L ;

BRANDENBURGER, A ;

DEKEL, E .

ECONOMETRICA, 1991, 59 (01) :61-79

[3]

Brandenburger A, 2008, ECONOMETRICA, V76, P307, DOI 10.1111/j.1468-0262.2008.00835.x

[4] The power of paradox: some recent developments in interactive epistemology [J].

Brandenburger, Adam .

INTERNATIONAL JOURNAL OF GAME THEORY, 2007, 35 (04) :465-492

[5]

Catonini E., 2014, COMMON ASSUMPTION CA

[6] Lexicographic beliefs and assumption [J].

Dekel, Eddie ;

Friedenberg, Amanda ;

Siniscalchi, Marciano .

JOURNAL OF ECONOMIC THEORY, 2016, 163 :955-985

[7]

Dekel Eddie., 2015, HDB GAME THEORY EC A, V4, P619, DOI [10.1016/b978-0-444-53766-9.00012-4, DOI 10.1016/B978-0-444-53766-9.00012-4]

[8] Lexicographic probability, conditional probability, and nonstandard probability [J].

Halpern, Joseph Y. .

GAMES AND ECONOMIC BEHAVIOR, 2010, 68 (01) :155-179

[9]

Hammond P.J., 1994, Patrick suppes: Scientific philosopher, V1, P25, DOI DOI 10.1007/978-94-011-0774-72

[10] Admissibility and assumption [J].

Lee, Byung Soo .

JOURNAL OF ECONOMIC THEORY, 2016, 163 :42-72

← 1 2 →