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On the Interaction between Player Heterogeneity and Partner Heterogeneity in Two-way Flow Strict Nash Networks

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주제분류경제학

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This paper brings together analyses of two-way flow Strict Nash networks under exclusive player heterogeneity assumption and exclusive partner heterogeneity assumption studied by Galeotti et al. (2006) and Billand et al. (2011) respectively. We provide a proposition that generalizes the results of thesemodels by stating that: (i) StrictNash network consists of multiple non-empty components as in Galeotti et al. (2006), and (ii) each non-empty component is a branching or Bi network as in Billand et al. (2011). This proposition requires that a restriction on link formation cost, which is called Uniform Partner Ranking, is satisfied.

Abstract

This paper brings together analyses of two-way flow Strict Nash networks under exclusive player heterogeneity assumption and exclusive partner heterogeneity assumption studied by Galeotti et al. (2006) and Billand et al. (2011) respectively. We provide a proposition that generalizes the results of thesemodels by stating that: (i) StrictNash network consists of multiple non-empty components as in Galeotti et al. (2006), and (ii) each non-empty component is a branching or Bi network as in Billand et al. (2011). This proposition requires that a restriction on link formation cost, which is called Uniform Partner Ranking, is satisfied.

참고문헌 (7)

  1. Bala V, "A noncooperativemodel of network formation", Econometrica, 68(5), pp.11811229~ (2000)
  2. Billand P, "nash networks and partner heterogeneity", International Journal of Game Theory, 40(3), pp.515525~ (2011)
  3. Billand P, "Existence of nash networks and partner heterogeneity", Mathematical Social Sciences, 64(2), pp.152158~ (2015)
  4. Galeotti A, "Network formation with heterogeneous players", Game and Economic Behavior, 54(2), pp.353372~ (2006)
  5. Haller H, "(non-)existence and scope of nash networks", Economic Theory, 31(3), pp.597604~ (2007)
  6. Jackson M. O, "The Missing Links: Formation and Decay of Economic Networks" (2007), Russell Sage Foundation
  7. Jackson M. O, "Social and Economic Networks" (2008), Princeton University Press

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