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3 results

  • 4 - Foundations for Contest Success Functions

  • from Part I - Foundations
  • Carmen Beviá, Universidad de Alicante, Luis Corchón, Universidad Carlos III de Madrid
  • Book:
    Contests
    Published online:
    30 May 2024
    Print publication:
    06 June 2024, pp 50-62

  • Summary

    In previous chapters, the CSF is presented as a “black box” that encapsulates the rules and workings of the contest. This chapter explains the mechanisms behind this black box. This could include how efforts may translate, with some uncertainty, into performance, or a planner with given objectives such as designing a contest on television or procuring inputs for a firm. Additionally, the outcome of a conflict may be negotiated or decided by a jury once claims have been presented. Finally, the chapter explores the basic properties that a contest must have, such as the relationship between effort and probability of winning, and how these properties translate into different CSFs. This is known as the axiomatic approach. These different approaches are able to recover some of the main CSFs already presented in the previous chapter.

  • NATURAL AXIOMS FOR CLASSICAL MEREOLOGY

  • A. J. COTNOIR, ACHILLE C. VARZI
  • Journal:
    The Review of Symbolic Logic / Volume 12 / Issue 1 / March 2019
    Published online by Cambridge University Press:
    27 December 2018, pp. 201-208
    Print publication:
    March 2019

  • We present a new axiomatization of classical mereology in which the three components of the theory—ordering, composition, and decomposition principles—are neatly separated. The equivalence of our axiom system with other, more familiar systems is established by purely deductive methods, along with additional results on the relative strengths of the composition and decomposition axioms of each system.