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Baron (2001) - Theories of Strategic Nonmarket Participation (view source)
Revision as of 17:08, 28 October 2011
, 17:08, 28 October 2011→Conditions for an SPNE
===Conditions for an SPNE===
Baron (or Rui) define equilibrium as a triple <math>c_{g}^{\ast}(x), c_{h}^{\ast}(x), x^{\ast})</math> is defined as:
* <math>x^{\ast}\in\arg\max_{x}[u_{e}(x)+c_{g}^{\ast}(x)+c_{h}^{\ast}(x)]</math>.
* <math>c_{j}^{\ast}\in\arg\max_{c_{j}}[-\beta[x^{\ast}-z_{j}]^{2}-c_{j}^{\ast}(x^{\ast})]m j=g,h</math>.
* <math>c_{j}=\tau_{j}+u_{j}(x), j=h,g</math>, "Truth Telling."
Bernheim and Whinston (1984) provide four necessary and sufficient conditions for a sub-game perfect Nash equilibrium in this model. In the notion of the model, these are:
