Partially symmetric values

Haimanko, O
(2000) Mathematics of operations research — Vol. 25, n° 4, p. 573-590 (2000)

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  • Haimanko, O
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Abstract
We consider spaces of differentiable nonatomic and mixed vector measure games, pNA and pM, with finitely or countably many types of players. Type-symmetric values on these spaces of games are investigated (all Aumann and Shapley conditions except symmetry are assumed, the latter being replaced by a weaker assumption of covariance under automorphisms of the space of players that preserve each type). We show that if the types are uncountable, then type-symmetric values are random path values. In particular, the symmetric values on pM are characterized as mixtures of values defined in Hart (1973).
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Haimanko, O. (2000). Partially symmetric values. Mathematics of operations research, 25(4), 573-590. https://doi.org/10.1287/moor.25.4.573.12116 (Original work published 2000)