TY - JOUR

T1 - Bargaining with Ordinal and Cardinal Players: The Cardinal Concession Rule

AU - Calvo, E.

AU - Peters, H.J.M.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - We consider bargaining problems with at least one cardinal player and with ordinal players, and provide a complete description of utility invariant solutions of such problems for two players. For the n-person case we provide a procedure that: (i) returns a given cardinal solution if there are only cardinal players; (ii) is based on the ordinal solution for gradual bargaining problems, introduced by o'neill et al. [o'neill, b., samet, d., wiener, z., winter, e., 2002. Bargaining with an agenda. Games econ. Behav., in press], for the ordinal players. Finally, we introduce the so-called cardinal concession solution as another example of a utility invariant solution.

AB - We consider bargaining problems with at least one cardinal player and with ordinal players, and provide a complete description of utility invariant solutions of such problems for two players. For the n-person case we provide a procedure that: (i) returns a given cardinal solution if there are only cardinal players; (ii) is based on the ordinal solution for gradual bargaining problems, introduced by o'neill et al. [o'neill, b., samet, d., wiener, z., winter, e., 2002. Bargaining with an agenda. Games econ. Behav., in press], for the ordinal players. Finally, we introduce the so-called cardinal concession solution as another example of a utility invariant solution.

U2 - 10.1016/j.geb.2004.07.003

DO - 10.1016/j.geb.2004.07.003

M3 - Article

VL - 52

SP - 20

EP - 33

JO - Games and Economic Behavior

JF - Games and Economic Behavior

SN - 0899-8256

ER -