메뉴 건너뛰기




Volumn 56, Issue 2, 2012, Pages 86-94

A lexicographic semiorder polytope and probabilistic representations of choice

Author keywords

Decision models; Lexicographic semiorders; Probabilistic choice; Semiorders

Indexed keywords


EID: 84858795649     PISSN: 00222496     EISSN: 10960880     Source Type: Journal    
DOI: 10.1016/j.jmp.2012.01.003     Document Type: Article
Times cited : (20)

References (46)
  • 1
    • 0039468458 scopus 로고    scopus 로고
    • Anti-Hadamard matrices, coin weighing, threshold gates, and indecomposable hypergraphs
    • Alon N., Vũ V.H. Anti-Hadamard matrices, coin weighing, threshold gates, and indecomposable hypergraphs. Journal of Combinatorial Theory, Series A 1997, 79:133-160.
    • (1997) Journal of Combinatorial Theory, Series A , vol.79 , pp. 133-160
    • Alon, N.1    Vũ, V.H.2
  • 2
    • 85073138729 scopus 로고    scopus 로고
    • The representation polyhedron of a semiorder
    • Order (in press).
    • Balof, B., Doignon, J. -P., & Fiorini, S. (2012). The representation polyhedron of a semiorder. Order (in press).
    • (2012)
    • Balof, B.1    Doignon, J.-P.2    Fiorini, S.3
  • 3
    • 0040898889 scopus 로고    scopus 로고
    • All 0-1 polytopes are traveling salesman polytopes
    • Billera L.J., Sarangarajan A. All 0-1 polytopes are traveling salesman polytopes. Combinatorica 1996, 16:175-188.
    • (1996) Combinatorica , vol.16 , pp. 175-188
    • Billera, L.J.1    Sarangarajan, A.2
  • 4
    • 39049112945 scopus 로고    scopus 로고
    • Evaluation of the priority heuristic as descriptive model of risky decision making: Comment on Brandstätter, Gigerenzer, and Hertwig
    • Birnbaum M.H. Evaluation of the priority heuristic as descriptive model of risky decision making: Comment on Brandstätter, Gigerenzer, and Hertwig. Psychological Review 2008, 115:253-262.
    • (2008) Psychological Review , vol.115 , pp. 253-262
    • Birnbaum, M.H.1
  • 5
    • 77955925033 scopus 로고    scopus 로고
    • Testing lexicographic semiorders as models of decision making: Priority dominance, integration, interaction, and transitivity
    • Birnbaum M.H. Testing lexicographic semiorders as models of decision making: Priority dominance, integration, interaction, and transitivity. Journal of Mathematical Psychology 2010, 54:363-386.
    • (2010) Journal of Mathematical Psychology , vol.54 , pp. 363-386
    • Birnbaum, M.H.1
  • 8
    • 0002572465 scopus 로고
    • Random orderings and stochastic theories of responses
    • Stanford University Press, Stanford, I. Olkin, S. Ghurye, H. Hoeffding, W. Madow, H. Mann (Eds.)
    • Block H.D., Marschak J. Random orderings and stochastic theories of responses. Contributions to probability and statistics 1960, 97-132. Stanford University Press, Stanford. I. Olkin, S. Ghurye, H. Hoeffding, W. Madow, H. Mann (Eds.).
    • (1960) Contributions to probability and statistics , pp. 97-132
    • Block, H.D.1    Marschak, J.2
  • 11
    • 60349112172 scopus 로고    scopus 로고
    • Analysis of multinomial models under inequality constraints: Applications to measurement theory
    • Davis-Stober C.P. Analysis of multinomial models under inequality constraints: Applications to measurement theory. Journal of Mathematical Psychology 2009, 53:1-13.
    • (2009) Journal of Mathematical Psychology , vol.53 , pp. 1-13
    • Davis-Stober, C.P.1
  • 12
    • 78149416029 scopus 로고    scopus 로고
    • A bijection between a set of lexicographic semiorders and pairs of non-crossing Dyck paths
    • Davis-Stober C.P. A bijection between a set of lexicographic semiorders and pairs of non-crossing Dyck paths. Journal of Mathematical Psychology 2010, 54:471-474.
    • (2010) Journal of Mathematical Psychology , vol.54 , pp. 471-474
    • Davis-Stober, C.P.1
  • 17
    • 0002108628 scopus 로고
    • A representation theorem for finite random scale systems
    • Falmagne J.-C. A representation theorem for finite random scale systems. Journal of Mathematical Psychology 1978, 18:52-72.
    • (1978) Journal of Mathematical Psychology , vol.18 , pp. 52-72
    • Falmagne, J.-C.1
  • 18
    • 0038748986 scopus 로고    scopus 로고
    • Polyhedral combinatorics of order polytopes
    • Ph.D. Thesis. Université Libre de Bruxelles.
    • Fiorini, S. (2001). Polyhedral combinatorics of order polytopes. Ph.D. Thesis. Université Libre de Bruxelles.
    • (2001)
    • Fiorini, S.1
  • 21
    • 0002406256 scopus 로고
    • Facets of the asymmetric traveling salesman polytope
    • Fischetti M. Facets of the asymmetric traveling salesman polytope. Mathematics of Operations Research 1991, 16:42-56.
    • (1991) Mathematics of Operations Research , vol.16 , pp. 42-56
    • Fischetti, M.1
  • 22
    • 0001608254 scopus 로고
    • Nontransitive preferences in decision theory
    • Fishburn P.C. Nontransitive preferences in decision theory. Journal of Risk and Uncertainty 1991, 4:113-134.
    • (1991) Journal of Risk and Uncertainty , vol.4 , pp. 113-134
    • Fishburn, P.C.1
  • 23
    • 0034380090 scopus 로고    scopus 로고
    • Upper bounds on the maximal number of facets of 0/1 polytopes
    • Fleiner T., Kaibel V., Rote G. Upper bounds on the maximal number of facets of 0/1 polytopes. European Journal of Combinatorics 2000, 21:121-130.
    • (2000) European Journal of Combinatorics , vol.21 , pp. 121-130
    • Fleiner, T.1    Kaibel, V.2    Rote, G.3
  • 25
    • 0002753134 scopus 로고
    • Polyhedral theory
    • John Wiley and Sons, New York, E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, D.B. Shmoys (Eds.)
    • Grötschel M., Padberg M.W. Polyhedral theory. The traveling salesman problem 1985, 251-360. John Wiley and Sons, New York. E.L. Lawler, J.K. Lenstra, A.H.G. Rinnooy Kan, D.B. Shmoys (Eds.).
    • (1985) The traveling salesman problem , pp. 251-360
    • Grötschel, M.1    Padberg, M.W.2
  • 26
    • 29144451276 scopus 로고    scopus 로고
    • Why we should not be silent about noise
    • Hey J.D. Why we should not be silent about noise. Experimental Economics 2005, 8:325-345.
    • (2005) Experimental Economics , vol.8 , pp. 325-345
    • Hey, J.D.1
  • 28
    • 77957055830 scopus 로고
    • Algebra and process in the modeling of risky choice
    • Academic Press, New York, J.R. Busemeyer, R. Hastie, D. Medin (Eds.)
    • Lopes L.L. Algebra and process in the modeling of risky choice. Decision making from a cognitive perspective 1995, 177-220. Academic Press, New York. J.R. Busemeyer, R. Hastie, D. Medin (Eds.).
    • (1995) Decision making from a cognitive perspective , pp. 177-220
    • Lopes, L.L.1
  • 31
    • 0012860795 scopus 로고
    • Description of some relations on the set of real-line intervals
    • Mirkin B.G. Description of some relations on the set of real-line intervals. Journal of Mathematical Psychology 1972, 9:243-252.
    • (1972) Journal of Mathematical Psychology , vol.9 , pp. 243-252
    • Mirkin, B.G.1
  • 32
    • 0011633424 scopus 로고
    • A study of intransitive preferences using a think aloud procedure
    • D. Reidel, Dordrecht, H. Jungerman, G. de Zeeuw (Eds.)
    • Montgomery H. A study of intransitive preferences using a think aloud procedure. Decision-making and change in human affairs 1977, 347-362. D. Reidel, Dordrecht. H. Jungerman, G. de Zeeuw (Eds.).
    • (1977) Decision-making and change in human affairs , pp. 347-362
    • Montgomery, H.1
  • 34
    • 0012518498 scopus 로고    scopus 로고
    • Lexicographic additivity for multi-attribute preferences on finite sets
    • Nakamura Y. Lexicographic additivity for multi-attribute preferences on finite sets. Theory and Decision 1997, 42:1-19.
    • (1997) Theory and Decision , vol.42 , pp. 1-19
    • Nakamura, Y.1
  • 37
    • 33847355407 scopus 로고
    • Risky decisions which violate transitivity and double cancelation
    • Ranyard R.H. Risky decisions which violate transitivity and double cancelation. Acta Psychologica 1977, 41:449-459.
    • (1977) Acta Psychologica , vol.41 , pp. 449-459
    • Ranyard, R.H.1
  • 38
    • 0011692501 scopus 로고
    • Binary choice patterns and reasons given for simple risky choice
    • Ranyard R.H. Binary choice patterns and reasons given for simple risky choice. Acta Psychologica 1982, 52:125-135.
    • (1982) Acta Psychologica , vol.52 , pp. 125-135
    • Ranyard, R.H.1
  • 40
    • 84864313295 scopus 로고    scopus 로고
    • Choice variability versus structural inconsistency of preferences, Psychological Review (in press).
    • Regenwetter, M., & Davis-Stober, C. P. (2012). Choice variability versus structural inconsistency of preferences, Psychological Review (in press).
    • (2012)
    • Regenwetter, M.1    Davis-Stober, C.P.2
  • 43
    • 38249015285 scopus 로고
    • Geometric and combinatorial properties of the polytope of binary choice probabilities
    • Suck R. Geometric and combinatorial properties of the polytope of binary choice probabilities. Mathematical Social Sciences 1992, 23:81-102.
    • (1992) Mathematical Social Sciences , vol.23 , pp. 81-102
    • Suck, R.1
  • 44
    • 58149412614 scopus 로고
    • Intransitivity of preferences
    • Tversky A. Intransitivity of preferences. Psychological Review 1969, 76:31-48.
    • (1969) Psychological Review , vol.76 , pp. 31-48
    • Tversky, A.1
  • 46
    • 0007121202 scopus 로고    scopus 로고
    • Lectures on 0/1 polytopes
    • Birkhäuser-Verlag, G. Kalai, G.M. Ziegler (Eds.)
    • Ziegler G.M. Lectures on 0/1 polytopes. Polytopes-combinatorics and computation 1999, Birkhäuser-Verlag. G. Kalai, G.M. Ziegler (Eds.).
    • (1999) Polytopes-combinatorics and computation
    • Ziegler, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.