Axiomatizations of neoclassical concepts for economies

Abstract We characterize the Pareto correspondence, the core and the Walras solution using the axioms of consistency, converse consistency and one-person rationality. Consistency and its converse are defined with respect to suitably constructed reduced economies for each case. Our results hold for the well-known class of coalitional production economies, which covers exchange economies as a particular case. The key reason to use this class is the observation that the reduction of an exchange economy yields a production economy.

[1]  S. Tijs,et al.  The consistency principle for games in strategic form , 1996 .

[2]  Herbert E. Scarf,et al.  A LIMIT THEOREM ON THE CORE OF AN ECONOMY , 1963, Classics in Game Theory.

[3]  B. Peleg.  On the reduced game property and its converse , 1987 .

[4]  Bezalel Peleg,et al.  An axiomatization of the core of cooperative games without side payments , 1985 .

[5]  Consistency and the Walrasian Allocations Correspondence , 1996 .

[6]  Nir Dagan.  Recontracting and competition , 1996 .

[7]  Louis Gevers.  Walrasian social choice: some simple axiomatic approaches , 1986 .

[8]  Volker Boehm.  The Limit of the Core of an Economy with Production , 1974 .

[9]  William Thomson,et al.  CONSISTENT SOLUTIONS IN ATOMLESS ECONOMIES , 1993 .

[10]  Ryo-ichi Nagahisa,et al.  A local independence condition for characterization of Walrasian allocations rule , 1991 .

[11]  W. Thomson.  Consistent Allocation Rules , 1996 .

[12]  Ryo-ichi Nagahisa.  A Necessary and Sufficient Condition for Walrasian Social Choice , 1994 .

[13]  C.G.A.M. van den Nouweland,et al.  Axiomatic characterizations of the Walras correspondence for generalized economies , 1996 .

[14]  S. Hart,et al.  Potential, value, and consistency , 1989 .

[15]  Terje Lensberg,et al.  Stability and the Nash solution , 1988 .

[16]  W. Thomson.  The Consistency Principle , 1989 .

[17]  William Thomson,et al.  A study of choice correspondences in economies with a variable number of agents , 1988 .

[18]  Morton D. Davis,et al.  The kernel of a cooperative game , 1965 .