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Limit Property of a Multi-Choice Value: Comparison with the Fuzzy Value

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  • Ono, R.

Abstract

Multi-choice games and fuzzy games both deal with the situations where the players have more than two participants levels. Two values have been proposed for the multi-choice games: Hsiao-Raghavan (1993) and Nouweland et al. (1995). The former one depends on an arbitrarily given weight, and Hsia (1995) showed this value is not concerned with Aubin's (1981) fuzzy value for the fuzzy games. The latter one is derived from the permutation ides of the Shapley value. We will show the latter value is consistent with Aubin's value when the number of participation levels is sufficiently large.

Suggested Citation

  • Ono, R., 1999. "Limit Property of a Multi-Choice Value: Comparison with the Fuzzy Value," Faechergruppe Volkswirtschaftlehre 106, University of Hamburg, Institute of Economics.
    • Handle: RePEc:fth:hambec:106
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    Keywords

    MATHEMATICAL ANALYSIS ; GAME THEORY;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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