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Evolving Aspirations and Cooperation
Authors:Rajeeva Karandikar  Dilip Mookherjee  Debraj Ray  Fernando Vega-Redondo
Institution:aIndian Statistical Institute, New Delhi, 110 016, India;bBoston University, Boston, Massachusetss, 02215;cInstituto de Análisis Económico (CSIC), Bellaterra, 08193, Barcelona, Spain;dFacultad de Económicas and Instituto Valenciano de Investigaciones Económicas, Universidad de Alicante, Alicante, 03071, Spain
Abstract:A 2×2 game is played repeatedly by two satisficing players. The game considered includes the Prisoner's Dilemma, as well as games of coordination and common interest. Each player has anaspirationat each date, and takes an action. The action is switched at the subsequent period only if the achieved payoff falls below aspirations; the switching probability depends on the shortfall. Aspirations are periodically updated according to payoff experience, but are occasionally subject to trembles. For sufficiently slow updating of aspirations and small tremble probability, it is shown that both players must ultimately cooperate most of the time.Journal of Economic LiteratureClassification Numbers C72, D83.
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