THE ASSIGNMENT GAME WITH NEGATIVE EXTERNALITIES AND BOUNDED RATIONALITY

Author:

ERIKSSON KIMMO12,JANSSON FREDRIK12,VETANDER THOMAS12

Affiliation:

1. Centre for the Study of Cultural Evolution, Stockholm University, SE-106 91 Stockholm, Sweden

2. Division of Applied Mathematics, School of Education, Culture and Communication, Mälardalen University, Box 883, SE-721 23 Västerås, Sweden

Abstract

We introduce negative externalities in the form of ill will among the players of the classic two-sided assignment game of Shapley and Shubik, by letting each player's utility be negatively correlated with the payoff of all the players in his group. The new game is very complex, but under a certain assumption of bounded rationality we derive a straightforward notion of stable outcomes as certain conjectural equilibria. We prove that several well-known properties of the set of stable outcomes in the assignment game carry over to this new game.

Publisher

World Scientific Pub Co Pte Lt

Subject

Statistics, Probability and Uncertainty,Business and International Management,General Computer Science

Reference9 articles.

1. C. F. Camerer, Behavioral Game Theory (Princeton University Press, 2003) pp. 43–59.

2. Externalities in Exchange Networks

3. The Comparison of Four Types of Everyday Interdependencies

4. A Theory of Fairness, Competition, and Cooperation

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