## Abstract

We investigate quasi-values of finite games - solution concepts that satisfy the axioms of Shapley (1953) with the possible exception of symmetry. Following Owen (1972), we define "random arrival", or path, values: players are assumed to "enter" the game randomly, according to independently distributed arrival times, between 0 and 1; the payoff of a player is his expected marginal contribution to the set of players that have arrived before him. The main result of the paper characterizes quasi-values, symmetric with respect to some coalition structure with infinite elements (types), as random path values, with identically distributed random arrival times for all players of the same type. General quasi-values are shown to be the random order values (as in Weber (1988) for a finite universe of players). Pseudo-values (non-symmetric generalization of semivalues) are also characterized, under different assumptions of symmetry.

Original language | English |
---|---|

Pages (from-to) | 451-468 |

Number of pages | 18 |

Journal | International Journal of Game Theory |

Volume | 29 |

Issue number | 3 |

DOIs | |

State | Published - 1 Jan 2000 |

Externally published | Yes |

## Keywords

- Quasi-values
- Their representation as random path values

## ASJC Scopus subject areas

- Statistics and Probability
- Mathematics (miscellaneous)
- Social Sciences (miscellaneous)
- Economics and Econometrics
- Statistics, Probability and Uncertainty