Profit Sharing with Thresholds and Non-monotone Player Utilities

We study profit sharing games in which players select projects to participate in and share the reward resulting from that project equally. Unlike most existing work, in which it is assumed that the player utility is monotone in the number of participants working on their project, we consider non-monotone player utilities. Such utilities could result, for example, from “threshold” or “phase transition” effects, when the total benefit from a project improves slowly until the number of participants reaches some critical mass, then improves rapidly, and then slows again due to diminishing returns.

[1]  Christos H. Papadimitriou,et al.  Worst-case equilibria , 1999 .

[2]  Jana Hajduková,et al.  Coalition Formation Games: a Survey , 2006, IGTR.

[3]  Haim Kaplan,et al.  Strong Price of Anarchy for Machine Load Balancing , 2007, ICALP.

[4]  Moshe Tennenholtz,et al.  Strong and Correlated Strong Equilibria in Monotone Congestion Games , 2006, WINE.

[5]  Haris Aziz,et al.  Existence of stability in hedonic coalition formation games , 2012, AAMAS.

[6]  Elliot Anshelevich,et al.  Profit Sharing with Thresholds and Non-monotone Player Utilities , 2015, Theory of Computing Systems.

[7]  Savo Glisic.  Network Formation Games , 2011 .

[8]  Yossi Azar,et al.  Fast convergence to nearly optimal solutions in potential games , 2008, EC '08.

[9]  J. Drèze,et al.  HEDONIC COALITIONS: OPTIMALITY AND STABILITY , 1980 .

[10]  Nicholas R. Jennings,et al.  Cooperative Games with Overlapping Coalitions , 2010, J. Artif. Intell. Res..

[11]  Vahab S. Mirrokni,et al.  Convergence Issues in Competitive Games , 2004, APPROX-RANDOM.

[12]  Tim Roughgarden,et al.  The Price of Stability for Network Design with Fair Cost Allocation , 2004, FOCS.

[13]  R. Rosenthal.  A class of games possessing pure-strategy Nash equilibria , 1973 .

[14]  Francis Bloch,et al.  Noncooperative formation of coalitions in hedonic games , 2011, Int. J. Game Theory.

[15]  Joseph Naor,et al.  Hedonic clustering games , 2012, SPAA '12.

[16]  Rolf H. Möhring,et al.  Strong Nash Equilibria in Games with the Lexicographical Improvement Property , 2009, WINE.

[17]  R. Holzman,et al.  Strong Equilibrium in Congestion Games , 1997 .

[18]  Tim Roughgarden,et al.  The price of stability for network design with fair cost allocation , 2004, 45th Annual IEEE Symposium on Foundations of Computer Science.

[19]  Rolf H. Möhring,et al.  Strong equilibria in games with the lexicographical improvement property , 2013, Int. J. Game Theory.

[20]  Matthew O. Jackson,et al.  The Stability of Hedonic Coalition Structures , 2002, Games Econ. Behav..

[21]  Jon M. Kleinberg,et al.  Mechanisms for (mis)allocating scientific credit , 2011, STOC '11.

[22]  Mehmet Karakaya,et al.  Hedonic coalition formation games: A new stability notion , 2011, Math. Soc. Sci..

[23]  John Augustine,et al.  Dynamics of Profit-Sharing Games , 2015, Internet Math..

[24]  Haris Aziz.  Stable marriage and roommate problems with individual-based stability , 2013, AAMAS.

[25]  Shay Kutten,et al.  Composition games for distributed systems: The EU grant games (abstract) , 2012, 2012 Proceedings IEEE INFOCOM Workshops.

[26]  Yishay Mansour,et al.  Strong price of anarchy , 2007, SODA '07.

[27]  Adrian Vetta,et al.  Nash equilibria in competitive societies, with applications to facility location, traffic routing and auctions , 2002, The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings..

[28]  Marina Thottan,et al.  Market sharing games applied to content distribution in ad hoc networks , 2004, IEEE Journal on Selected Areas in Communications.