Why Sunk Costs Matter for Bargaining Outcomes: An Evolutionary Approach

Abstract Two bargaining parties play the Nash Demand Game to share a pie whose size is determined by one party's investment decision. Various investment levels are subgame-perfect. Adding the investment decision to Young's evolutionary bargaining model yields the following long-run outcome: efficient investment prevails and the investor's share of the pie approximates die maximum of (i) the smallest share that induces efficient investment, even if the investor expects to appropriate the available pie from every inefficient investment, and (ii) half of the pie. The result favors forward induction to subgame consistency and equity theory to hold-ups. Journal of Economic Literature Classification Numbers: C78, L14.

[1]  L. Samuelson,et al.  A Dynamic Model of Equilibrium Selection in Signaling Markets , 1997 .

[2]  Ken Binmore,et al.  Hard Bargains and Lost Opportunities , 1998 .

[3]  Larry Samuelson,et al.  An Evolutionary Analysis of Backward and Forward Induction , 1993 .

[4]  J. Mertens,et al.  ON THE STRATEGIC STABILITY OF EQUILIBRIA , 1986 .

[5]  John C. Harsanyi,et al.  Общая теория выбора равновесия в играх / A General Theory of Equilibrium Selection in Games , 1989 .

[6]  E. Damme Stable equilibria and forward induction , 1989 .

[7]  H. Young An Evolutionary Model of Bargaining , 1993 .

[8]  M. Bacharach Two-person Cooperative Games , 1976 .

[9]  Elchanan Ben-Porath,et al.  Signaling future actions and the potential for sacrifice , 1992 .

[10]  W. Rogerson Contractual Solutions to the Hold-Up Problem , 1992 .

[11]  Ken Binmore,et al.  Game theory and the social contract , 1984 .

[12]  Jeroen M. Swinkels Evolution and strategic stability: From maynard smith to kohlberg and mertens☆ , 1992 .

[13]  Jeroen M. Swinkels Adjustment Dynamics and Rational Play in Games , 1993 .

[14]  C. Plott psychology and economics , 1990 .

[15]  R. Frank Microeconomics and behavior , 1991 .

[16]  Tore Ellingsen,et al.  Does Evolution Solve the Hold-Up Problem? , 2000, Games Econ. Behav..

[17]  Jeroen M. Swinkels Evolutionary stability with equilibrium entrants , 1992 .

[18]  L. Samuelson Stochastic Stability in Games with Alternative Best Replies , 1994 .

[19]  Jean Tirole,et al.  Incomplete contracts: Where do we stand? , 1999 .

[20]  H. Young,et al.  The Evolution of Conventions , 1993 .

[21]  R. Rob,et al.  Learning, Mutation, and Long Run Equilibria in Games , 1993 .

[22]  Hans W. Gottinger,et al.  Decision Theory and Social Ethics , 1978 .