Cooperative Dilemmas with Binary Actions and Multiple Players

被引:5
作者
Pena, Jorge [1 ,2 ,3 ]
Noldeke, Georg [4 ]
机构
[1] Univ Toulouse Capitole, Inst Adv Study Toulouse, Toulouse, France
[2] Univ Amsterdam, Inst Adv Study, Amsterdam, Netherlands
[3] Max Planck Inst Evolutionary Anthropol, Dept Human Behav Ecol & Culture, Leipzig, Germany
[4] Univ Basel, Fac Business & Econ, Basel, Switzerland
关键词
Cooperation; Social dilemmas; Cooperative dilemmas; Multiplayer games; Evolutionarily stable strategy; Bernstein transforms; EVOLUTIONARY DYNAMICS; COLLECTIVE ACTION; PUBLIC-GOODS; GROUP-SIZE; PARTICIPATION GAMES; PRIVATE PROVISION; SOCIAL EVOLUTION; ALTRUISM; MODELS; CLASSIFICATION;
D O I
10.1007/s13235-023-00524-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The prisoner's dilemma, the snowdrift game, and the stag hunt are two-player symmetric games that are often considered as prototypical examples of cooperative dilemmas across disciplines. However, surprisingly little consensus exists about the precise mathematical meaning of the words "cooperation" and "cooperative dilemma" for these and other binary-action symmetric games, in particular when considering interactions among more than two players. Here, we propose definitions of these terms and explore their evolutionary consequences on the equilibrium structure of cooperative dilemmas in relation to social optimality. We show that our definition of cooperative dilemma encompasses a large class of collective action games often discussed in the literature, including congestion games, games with participation synergies, and public goods games. One of our main results is that regardless of the number of players, all cooperative dilemmas-including multi-player generalizations of the prisoner's dilemma, the snowdrift game, and the stag hunt-feature inefficient equilibria where cooperation is underprovided, but cannot have equilibria in which cooperation is overprovided. We also find simple conditions for full cooperation to be socially optimal in a cooperative dilemma. Our framework and results unify, simplify, and extend previous work on the structure and properties of cooperative dilemmas with binary actions and two or more players.
引用
收藏
页码:1156 / 1193
页数:38
相关论文
共 84 条
[1]   Participation games: Market entry, coordination, and the beautiful blonde [J].
Anderson, Simon P. ;
Engers, Maxim .
JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 2007, 63 (01) :120-137
[2]   COEXISTENCE OF COOPERATION AND DEFECTION IN PUBLIC GOODS GAMES [J].
Archetti, Marco ;
Scheuring, Istvan .
EVOLUTION, 2011, 65 (04) :1140-1148
[3]  
ARTHUR WB, 1994, AM ECON REV, V84, P406
[4]   THE EVOLUTION OF COOPERATION [J].
AXELROD, R ;
HAMILTON, WD .
SCIENCE, 1981, 211 (4489) :1390-1396
[5]   The evolution of n-player cooperation -: threshold games and ESS bifurcations [J].
Bach, LA ;
Helvik, T ;
Christiansen, FB .
JOURNAL OF THEORETICAL BIOLOGY, 2006, 238 (02) :426-434
[6]   ON THE PRIVATE PROVISION OF PUBLIC-GOODS [J].
BERGSTROM, T ;
BLUME, L ;
VARIAN, H .
JOURNAL OF PUBLIC ECONOMICS, 1986, 29 (01) :25-49
[7]   COOPERATION AND GROUP-SIZE IN N-PERSON PRISONERS-DILEMMA [J].
BONACICH, P ;
SHURE, GH ;
KAHAN, JP ;
MEEKER, RJ .
JOURNAL OF CONFLICT RESOLUTION, 1976, 20 (04) :687-706
[8]  
Broom M, 1997, B MATH BIOL, V59, P931
[9]   Evolutionary and asymptotic stabitity in symmetric multi-player games [J].
Bukowski, M ;
Miekisz, J .
INTERNATIONAL JOURNAL OF GAME THEORY, 2004, 33 (01) :41-54
[10]  
CARLSSON H, 1993, FRONTIERS OF GAME THEORY, P237