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  • Eriksson, Henrik, et al. (författare)
  • Dense packing of patterns in a permutation
  • 2007
  • Ingår i: Annals of Combinatorics. - 0218-0006 .- 0219-3094. ; 11:3-4, s. 459-470
  • Tidskriftsartikel (refereegranskat)abstract
    • We study the length L-k of the shortest permutation containing all patterns of length k. We establish the bounds e(-2)k(2) < L-k <= (2/3 + o(1))k(2). We also prove that as k there are permutations of length (1/4+o(1))k(2) containing almost all patterns of length k.
  • Eriksson, Kimmo, et al. (författare)
  • Costly punishment in the ultimatum game evokes moral concern, in particular when framed as payoff reduction
  • 2017
  • Ingår i: Journal of Experimental Social Psychology. - : ACADEMIC PRESS INC ELSEVIER SCIENCE. - 0022-1031 .- 1096-0465. ; 69, s. 59-64
  • Tidskriftsartikel (refereegranskat)abstract
    • The ultimatum game is a common economic experiment in which some participants reject another's unfair offer of how to split some money, even though it leaves them both worse off. This costly behavior can be seen as enforcement of a fairness norm and has been labeled “altruistic punishment”, suggesting that it is a moral thing to do. But is this behavior viewed as moral by participants? Is it viewed as punishment? And are the payoff consequences of the behavior sufficient to determine the answers to these questions? To investigate this we framed costly punishment in two different ways: either as rejection of an offer (the standard ultimatum game framing) or as reduction of payoff. In a series of paid and hypothetical experiments we found that moral concerns about costly punishment depended on the framing. Specifically, the reduction frame elicited more moral concern about, and less use of, costly punishment than did the rejection frame. Several implications are discussed.
  • Lindholm, Torun, 1962-, et al. (författare)
  • Making gender matter: The role of gender-based expectancies and gender identification on women’s and men’s math performance in Sweden.
  • 2007
  • Ingår i: Scandinavian Journal of Psychology. - : blackwell publishing. - 0036-5564 .- 1467-9450. ; 48:4, s. 329-338
  • Tidskriftsartikel (refereegranskat)abstract
    • It is well established that an emphasis on gender differences may have negative effect on women's math performance in USA, Germany and the Netherlands. It has further been found that an individual’s identification with the stereotyped group may moderate effects of negative stereotypes. The present study investigated how gender-based expectancies affected the math performance of women and men in Sweden, a nation with a smaller gender gap than in other countries, and a strong cultural emphasis on gender equality. Participants, 112 female and 74 male undergraduate math students from Swedish universities, completed a difficult math test in which their gender was either linked to their test performance or not. Men performed better than women when gender was made relevant among participants who did not see their gender as an important aspect of their identity, while participants high in gender identification were unaffected by gender identity relevance. Moreover, the gender relevance manipulation affected men's performance more than women's. The results deviate from findings on US samples, indicating that the role of group identification as a moderator of stereotype-based expectancy effects is complex, and that factors in the cultural context may interact with individual differences in identification to determine the impact of negative stereotypes.
  • Eriksen, Niklas, 1974-, et al. (författare)
  • Diagonal checker-jumping and Eulerian numbers for color-signed permutations
  • 2000
  • Ingår i: The Electronic Journal of Combinatorics. - Clemson, USA : Electronic Journal of Combinatorics. - 1097-1440 .- 1077-8926. ; 7
  • Tidskriftsartikel (refereegranskat)abstract
    • We introduce color-signed permutations to obtain a very explicit combinatorial interpretation of the q-Eulerian identities of Brenti and some generalizations. In particular, we prove an identity involving the golden ratio, which allows us to compute upper bounds on how high a checker can reach in a classical checker-jumping problem, when the rules are relaxed to allow also diagonal jumps.
  • Eriksson, Henrik, et al. (författare)
  • Conjugacy of Coxeter elements
  • 2009
  • Ingår i: The Electronic Journal of Combinatorics. - 1097-1440 .- 1077-8926. ; 16:2, s. R4-
  • Tidskriftsartikel (refereegranskat)
  • Eriksson, Henrik, et al. (författare)
  • Conjugacy of Coxeter elements
  • 2009
  • Ingår i: Coxeter. ; 16:2, s. -R4
  • Tidskriftsartikel (refereegranskat)abstract
    • For a Coxeter group (W, S), a permutation of the set S is called a Coxeter word and the group element represented by the product is called a Coxeter element. Moving the first letter to the end of the word is called a rotation and two Coxeter elements are rotation equivalent if their words can be transformed into each other through a sequence of rotations and legal commutations. We prove that Coxeter elements are conjugate if and only if they are rotation equivalent. This was known for some special cases but not for Coxeter groups in general.
  • Eriksson, Henrik, et al. (författare)
  • Note on the lamp lighting problem
  • 2001
  • Ingår i: Advances in Applied Mathematics. - 0196-8858 .- 1090-2074. ; , s. 357-366
  • Tidskriftsartikel (refereegranskat)
  • Eriksson, Henrik, et al. (författare)
  • Sorting a bridge hand
  • 2001
  • Ingår i: Discrete Mathematics. - 0012-365X .- 1872-681X. ; 241:1-3, s. 289-300
  • Tidskriftsartikel (refereegranskat)abstract
    • Sorting a permutation by block moves is a task that every bridge player has to solve every time she picks up a new hand of cards. It is also a problem for the computational biologist, for block moves are a fundamental type of mutation that can explain why genes common to two species do not occur in the same order in the chromosome, It is not known whether there exists an optimal sorting procedure running in polynomial time. Bafna and Pevzner gave a polynomial time algorithm that sorts any permutation of length n in at most 3n/4 moves. Our new algorithm improves this to [(2n - 2)/3] for n greater than or equal to 9. For the reverse permutation, we give an exact expression for the number of moves needed, namely [(n + 1)/2]. Computations of Bafha and Pevzner up to n = 10 seemed to suggest that this is the worst case; but as it turns out, a first counterexample occurs for n = 13, i.e. the bridge player's case. Professional card players never sort by rank, only by suit. For this case, we give a complete answer to the optimal sorting problem.
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