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Competitive location under proportional choice: 1-suboptimal points on networks

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper is concerned with a competitive or voting location problem on networks under a proportional choice rule that has previously been introduced by Bauer et al. (1993). We refine a discretization result of the authors by proving convexity and concavity properties of related expected payoff functions. Furthermore, we answer the long time open question whether 1-suboptimal points are always vertices by providing a counterexample on a tree network.
Rocznik
Strony
53--64
Opis fizyczny
Bibliogr. 17 poz., rys., tab., wykr.
Twórcy
autor
  • Department of Management Information Science, University of Siegen, Hölderlinstraße 3, D-57068 Siegen, Germany
autor
  • Department of Management Information Science, University of Siegen, Hölderlinstraße 3, D-57068 Siegen, Germany.
Bibliografia
  • Bandelt, H.-J. (1985), Networks with Condorcet solutions. European Journal of Operational
  • Research, 20(3), 314–326.
  • Bauer, A., Domschke,W., and Pesch, E. (1993), Competitive location on a network. European
  • Journal of Operational Research, 66(3), 372–391.
  • Birmingham Council (2011), Strategy for special provision (S4SP) guidance.
  • http://ebriefing.bgfl.org/content/resources/resource.cfm?id=8009&key=&zz=
  • 20110130064926142&zs=n. Last accessed on 08-04-2011.
  • Gross, J. L. and Yellen, J. (2004), Fundamentals of graph theory. In Gross, J. L. and Yellen,
  • J., editors, Handbook of Graph theory, pp. 2–19. CRC Press, Boca Raton.
  • Hakimi, S. L. (1964), Optimum locations of switching centers and the absolute centers and
  • medians of a graph. Operations Research, 12(3), 450–459.
  • Hakimi, S. L. (1986), p-median theorems for competitive locations. Annals of Operations
  • Research, 6(4), 77–98.
  • Hakimi, S. L. (1990), Locations with spatial interactions: Competitive locations and games.
  • In Mirchandani, P. B. and Francis, R. L., (eds.), Discrete Location Theory, pp. 439–478.
  • Wiley, New York.
  • Hansen, P. and Labb´e, M. (1988), Algorithms for voting and competitive location on a
  • network. Transportation Science, 22(4), 278–288.
  • Hansen, P. and Thisse, J.-F. (1981), Outcomes of voting and planning: Condorcet, Weber
  • and Rawls locations. Journal of Public Economics, 16(1), 1–15.
  • Hansen, P., Thisse, J.-F., and Wendell, R. E. (1986), Equivalence of solutions to network
  • location problems. Mathematics of Operations Research, 11(4), 672–678.
  • Hansen, P., Thisse, J.-F., and Wendell, R. E. (1990), Equilibrium analysis for voting and
  • competitive location problems. In Mirchandani, P. B. and Francis, R. L. (eds.), Discrete
  • Location Theory, pp. 479–501. Wiley, New York.
  • Hooker, J. N., Garfinkel, R. S., and Chen, C. K. (1991), Finite dominating sets for network
  • location problems. Operations Research, 39(1), 100–118.
  • Hotelling, H. (1929), Stability in competition. The Economic Journal, 39(153), 41–57.
  • Kress, D., Pesch, E. (2012), Sequential competitive location on networks. European Journal
  • of Operational Research, 217(3), 483–499.
  • Labb´e, M. (1985), Outcomes of voting and planning in single facility location problems.
  • European Journal of Operational Research, 20(3), 299–313.
  • Simpson, P. B. (1969). On defining areas of voter choice: Professor Tullock on stable voting.
  • The Quarterly Journal of Economics, 83(3), 478–490.
  • Swamy, M. N. S., Thulasiraman, K. (1981), Graphs, Networks, and Algorithms. Wiley, New York.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-92b46a5d-c4cc-4a66-85e5-7c8ed8fa7ac2
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