Priority Right Auction for Komi Setting

We develop an auction system that determines a fair number of komi for holding black stones in a GO game between two players of equal strength, and hence the right to the first move. It is modeled as a priority right pricing problem that demands for budget-balanced and egalitarian conditions, where a negative utility is associated with the losers. We establish results involved with the incentive compatible properties for this problem under both deterministic and randomized protocols.

[1]  Shinji Ohseto,et al.  Implementing egalitarian-equivalent allocation of indivisible goods on restricted domains , 2004 .

[2]  H. Steinhaus,et al.  Sur la division pragmatique , 1949 .

[3]  V. Crawford,et al.  Fair division with indivisible commodities , 1979 .

[4]  J. Morgan Dissolving a partnership (un)fairly , 2004 .

[5]  Eric Maskin,et al.  Chapter 5 Implementation theory , 2002 .

[6]  J. Hicks The Foundations of Welfare Economics , 1939 .

[7]  Matthew O. Jackson,et al.  A crash course in implementation theory , 2001, Soc. Choice Welf..

[8]  Noam Nisan,et al.  Algorithmic mechanism design (extended abstract) , 1999, STOC '99.

[9]  N. Kaldor The Philosophy of Economics: Welfare Propositions of Economics and Interpersonal Comparisons of Utility , 1939 .

[10]  Amin Saberi,et al.  An approximation algorithm for max-min fair allocation of indivisible goods , 2007, STOC '07.

[11]  Elisha A. Pazner,et al.  Egalitarian Equivalent Allocations: A New Concept of Economic Equity , 1978 .

[12]  Éva Tardos,et al.  Truthful mechanisms for one-parameter agents , 2001, Proceedings 2001 IEEE International Conference on Cluster Computing.

[13]  Noam Nisan,et al.  Algorithmic Mechanism Design , 2001, Games Econ. Behav..

[14]  C. Fisher,et al.  Resource Allocation in the Public Sector: Values, Priorities and Markets in the Management of Public Services , 1998 .

[15]  Lars-Gunnar Svensson Large Indivisibles: An analysis with respect to price equilibrium and fairness , 1983 .

[16]  Philippe Jehiel,et al.  Strategic Non-Participation , 1994 .

[17]  David C. Parkes,et al.  Computational Mechanism Design , 2007 .

[18]  W. Stromquist How to Cut a Cake Fairly , 1980 .

[19]  William Vickrey,et al.  Counterspeculation, Auctions, And Competitive Sealed Tenders , 1961 .

[20]  Shimon Even,et al.  A note on cake cutting , 1984, Discret. Appl. Math..

[21]  Roger B. Myerson,et al.  Optimal Auction Design , 1981, Math. Oper. Res..

[22]  D. Gale,et al.  Fair Allocation of Indivisible Goods and Criteria of Justice , 1991 .