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Bargaining with a Variable Population for Games with a Reference Point

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  • Lahiri Somdeb

Abstract

We consider axiomatic models of bargaining defined over a domain of problems containing different numbers of agents, define a concept called restricted monotonicity with respect of changes in the number of agents, and show that a solution due to Lahiri (1988), which satisfies monotonicity with respect to the disagreement point, meets the aforementioned requirement. Finally, we consider a class of solutions which are defined with respect to a reference point [concept due to Thomson (1981)] and show that this class satisfies our axiom of restricted monotonicity.

Suggested Citation

  • Lahiri Somdeb, 1988. "Bargaining with a Variable Population for Games with a Reference Point," IIMA Working Papers WP1988-12-01_00849, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:wp00849
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