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Variable temptations and black mark reputations
Institution:2. Harvard University, 79 John F. Kennedy Street, Cambridge, MA 02138, USA;3. Jane Street Capital, Roppongi 6-12-4, Minato-ku, Tokyo 106-0032, Japan;1. University of Cologne, Department of Economics, Albertus-Magnus Platz, D-50923 Cologne, Germany;2. Department of Economics, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, United Kingdom;1. Department of Government, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, United Kingdom;2. Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan;3. WZB Berlin Social Science Center, Reichpietschufer 50, D-10785 Berlin, Germany;4. Department of Economics, University of Heidelberg, Bergheimer Str. 58, 69115 Heidelberg, Germany;1. University of Heidelberg, Germany;2. University of Amsterdam and Tinbergen Institute, The Netherlands
Abstract:Reputations often guide sequential decisions to trust and to reward trust. We consider situations where each player is randomly matched with a partner in every period. One player – the truster – decides whether to trust. If trusted, the other player – the temptee – has a temptation to betray. The strength of temptation, private information to the temptee, varies across encounters. Betrayals are recorded as publicly known black marks. First, we identify equilibria when players only condition on the number of a temptee's black marks. Second, we show that conditioning on the number of interactions as well as on the number of black marks does not prolong trust. Third, we examine stochastic variations where black marks may be forgotten. Perhaps surprisingly, such variations do not improve outcomes. Fourth, when players condition on more general summary statistics of a temptee's past, we study equilibria where trust is suspended temporarily.
Keywords:Reputation  Trust  Reputation mechanisms  Ratings
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