A+ CATEGORY SCIENTIFIC UNIT

On convex combinations of two values

Volume 24 / 1996

Andrzej Nowak, Tadeusz Radzik Applicationes Mathematicae 24 (1996), 47-56 DOI: 10.4064/am-24-1-47-56

Abstract

We study values for cooperative TU-games which are convex combinations of the Shapley value and the solidarity value, introduced in our recent paper [1]. First, we axiomatize the convex combination of the two values in the case when the coefficients are given exogenously. Next, we give an axiomatic description of the whole family of such values.

Authors

  • Andrzej Nowak
  • Tadeusz Radzik

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