Since 2014
(DP 2015-13) Helping Cost, Assortative Matching and Production Cycles in the Dynamic Humean Farmer Game
UPSE Discussion Papers
View Archive Info| Field | Value | |
| Title |
(DP 2015-13) Helping Cost, Assortative Matching and Production Cycles in the Dynamic Humean Farmer Game
|
|
| Creator |
Fabella, Raul V.
|
|
| Subject |
Humean farmer game; helping cost; assortative matching; production cycles; emergence of cooperation
|
|
| Description |
We reformulate the Humean farmer game on the basis of random assignment of advantage and the cost e of helping in another’s harvest. The result is a game that is a coordination game if e < ½ or a dominant strategy Prisoner’s Dilemma Game if e > ½ which allows a joint treatment of the two interpretations of the Humean farmer game. We employ two behavioral types initially: the conditionally cooperative (H-type) and the free riding (NH-type). We employ replication dynamics with assortative matching and multiple production cycles to investigate which evolutionarily stable (EE) monomorphic population it engenders. We show that the ceiling for effort cost e to support an EE monomorphic H-type population in the Stag-Hunt game rises to (1 + b)/2 from 1/2 in pure random matching case. As the assortative index b rises, the basin of attraction of the EE H-type solution rises. When the assortative matching is perfect (b = 1), in the Stag-Hunt game version (0 < e < ½), the monomorphic NH-type population (s* = 0) is no longer EE while the monomorphic H-type solution (s** = 1) is EE; in the Dominant Strategy game version (e > ½), s* = 0 is EE iff e > (3/4) while s** = 1 is EE.JEL Classificatoin: B0, B15, B31, C73
|
|
| Publisher |
UPSE Discussion Papers
|
|
| Contributor |
—
|
|
| Date |
2015-11-05
|
|
| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
|
| Format |
application/pdf
|
|
| Identifier |
http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/1483
|
|
| Source |
UPSE Discussion Papers; 2015 Discussion Papers
|
|
| Language |
eng
|
|
| Relation |
http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/1483/965
|
|